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Quantum Information Processing and Quantum Error Correction with Trapped Ca+ Ion

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brother will speak about what information processing quantum error-correction with trapped calcium ions thanks a like the morning everybody and other this beautiful talk about the theory of quantum information processing error correction we all have to talk to you about the gory details of reality sorry for that and this is about 1 implementation be doing its work with truck clients and you see here the recall some of that work that was later so I'm going to talk about today is 1st of all I would like to make familiar with withhold away with how we use struck out months for 1 information processing but I'll talk about the coherence of multiply the entangled states and what the error sources really finally we into the
procedures have do quantum error-correction turbines I'll show you also 1st measurement of an undue by polymeric correction and hold then apply these things later on at least 2 comma decimal simulations of all the risk of this happening at the recipients book and the the carrier Science Institute and of course here we have a number of sponsors make that possible just to give you the layout of the experiment you using the ball drop in the linear ball drop from the sky and so we have the form ifit plate and then you have to use of these linear did this or that the steps of view by frequent prevention DC potential so confined eyes in the center than the Radeon them but later light they fluoresce and then we can see that this is the camera Alzery can join in in the trust laser in order to manipulate individual it's so
usually the picture that we see we do the experiments is a chain like that in this case it's a kind of the th the distance between those lines above the use of the Y chromosome this invisible before like right here the system of hand the haphazard the county lion and the two-level system that you invoking is actually realize the state the 2 D 5 fostered right you just like the well 1 2nd or the other of lasers are necessary in order to manipulate the the i in a group and to discover fluorescence that we see this in the light that you saw on the previous slide this kind a 397 enemies now of course you know that there is nothing like a real two-level system so you have to do this and if you just placed this cinematic feel tent according to the quantization axis that you buy we have these 3 transitions available indicated in red this 1 is most sensitive depending on the magnetic field that's this 1 the strong 1 that will be used only for sideband cooling but not for quantum-state processing there is this is the least abandoned that's why you stopped in the spectrum for 1 the passing so this 1 that single out which goes from minus 1 half to the minus 5 optimized for 8 years here fluorescence detection happens in such a way that we shining that laser light that indicated before and once the system is in that the Firefox that we don't see like otherwise we see like and that's the big assets in iron drops study used for quantum information processing because you get unique signal to noise ratio once the atom the iron disk is projected the state so you won't see the light and then this shows up by the way in itself of this this thing's quantum jumps and to just drawing it is so pround we show that prior to measurement and don't see anything that he said was occupied and you hear Jonesy light and of course this state was occupied and the computer control line and you can easily detect that mediums and efficient now what is the toolbox of you have you have a number of operations available I can't go through all these details here but let me give you the most recent will books that we have a collection of most importantly is the entangling the operation that's of the parameter and resource in operation relies on 2 photon transitions that admissible posterior connectors staples lies in the ground state as as with both lines in the excited state that's the state but it's even you shining laser light various ways to reach this wire two-photon transitions but because you're residing in the trap then there's a harmonic possible structure always added to that so we should have to shining laser light for example to that lower side-band as you say it's going to show you will buy 1 for 1 right here and we can add to this blue sideband but there for different settings of 4 different of the so-called contributing about moments into showed some time ago is that they conspired such a fact that the intermediate states 1st all at so the other is the dependence on the quantum number in in creating say civilization of SS and the the beaches and Daniel operation banishes like likewise interview applying radiation is symmetrically it's regions we don't have in these ships to compensate for so the system is very insensitive with respect the structure to solve these merciless engage generated you'd see states of that kind and the 3 of us is essentially two-body Hamiltonian theory of interactions and this this Council every iron interaction of eyes for example written down UFO 3-irons but through different face notation this goal to be the next sort of the a wide set of an excitation but this is not always possible there's the entire operation that we have now tuning the race on resonance this school is about interactive all systems and just having 1 radiation here there of course recently manipulates that leveled system that we have and note that they just call the excited state is 0 and the and the prone the 1 that's just technical and historical reasons this is a bright level and at the bottom of this theorem is 1 but with the resonance manipulation to just a single bits of this kind so we just can't create superpositions references to the past minus states and so forth a simultaneously on all of the 3 iron and that we have been addressed operation that we have these individual lasers did you now off-resonance and they create starches so they make operations of the Sigmar Sea tiebreak here and this you can create all kinds of signs sign changes in this in in in in this so these operations these 3 operations I come back to that later provides a more complete set of for a universal operations we can realize rigidly everything and it's not a figure out what's the right way to do that I'll come back up OK the best just a sum-up extrememly we can do this with very high fidelity they're all the signal and collective operations with 19 and we have demonstrated a Members' operation for 2 wines with 99 comma decimal 3 % of the high fidelity of aeration usually when you recruit more for 5 lines this on your report 98 % so this is going down a little bit but this is the life of the operation so let me just show you again how this works suppose you have a two-level system right here and there's a little system right here they all talk to each other by the common mode the center of mass which in this case is indicated here but the harmonic oscillator lab and this as I said before it leads to an effective spin-spin interaction this can be easily extended to many irons because all of the science share this and of mouse motion and they're talking the same rate to each other so in other words the the the gap that effective spin-spin interaction between all of those science and this as said before you can create that bourgeoisies and pictorially these are again that the graphs that we have for the transition such as often as as you create the best status and you right here if you have say 4-irons then of course there's many more Abbots's that's conspired to the give you that uses the or operator guides Here you
see this is a very powerful operations this is a very powerful operation that simultaneously really leaves diamond all of these things missing about and that now enables us to make many of the operations of many of the procedures that we do the those should little that's good stuff for example we did these years states Geocities those are the most sensitive to states because they are highly correlated to every perturbation and if you really wanted to to to think about the errors in your system if you want to know what are the errors the best way to do this is go for the most since the states and just check out how long they live so for example you create here for comparison a single line rounds of French is all part measurement so for example to wines this course twice as fast 3 4 5 and 2 8 Lions and the the abilities that you can readily derived from that parity measurements we can go as high as as alliance and here I just wrote down a different way of measuring the entanglement this is sort of the the the from but by the time advertisers to check out the the ory have social environment interior 449 so you have the time and 49 in time the 17th and the deviations so this shows you that you can create such large states policy how they are are affected by errors how long they live and be created them measured or the other to this immediately after creating the and wait and just over 2 that the same thing here and here's the raw data and this is centered on the semilogarithmic plot with the guns incur as next medleys you just do that 1st entity but what what's happening here and that immediately started promising line around to contrast which goes on for many milliseconds right here you immediately start to lose your contrast is something that is written on the something's causing errors and what is that now we do you realize that apparently he analysis them since we are setting a quantization axes memory field we have a fluctuating current so there's a comma fluctuation in the magnetic field that causes the common phasing not necessarily decoherence but the phasing and that the phasing that works something this is all lines and you try to understand that the more detail and here's the ectoderm measurements which shows you that this is really caused by the married field because these transitions of 5 times different in this sense there do the specter very of is the 5 fold of science to the media Jeev present in the Communes measurement and this this that back to the model so we just take a Hamiltonian right here and think about the varying magnetic fields and how this influence is always been so system right here and now we try to calculate the ability of the states and they make ensemble averages and together with EU going from a light you see all be measured reviewed you looked at model untitled the time to go into the details but it shows you that due to the fluctuations of the magnetic field which are native technical nature you have various for for a short time civil goes in nature but for a long time behavior this is governed by the correlation function of the married field but you have to measure and here's the measurement of the correlation function which looks a little funny this is exponentially decaying however has an oscillatory component that component comes from the fact that you have to serve all the current of course to make sure that it's stabilized and as this so but once we saw that of course you could really make this a lot better it seems so sort of agreed with the measurements what the derived from the Arab and he did a lot more than that and then make a long story short here is again the same day the presented you before but now fitted with a model that he came up with and you see that you can really quantitatively the decay of this year's he's dates in terms of that most of the errors that we have and this mostly stemming from the magnetic field this is a little tricky because there is also a and this is not is not to distinguish really can do that that's also error by a laser frequency noise remember that state has a lifetime of 1 2nd so we apply a laser with the bandit 1 hurts that's phase noise and if the laser bandits goes up to 10 or 20 hertz we already see this and that so sometimes you have to make sure that you're not limited by laser laws in any case you there's always was also the tool collective of the phasing so we see that the relative error probability here scales with INS career unfortunate for those on GSC sets but this is due to the fact that you have collective noise or correlated noise in this case would sometimes also point so but the coherence for the variance of Jiji said would be affected by that fact but here's because we deliberately made digits state that was most sensitive to this man any few fluctuation just want to know that you want to know the correlated correlations you the mold the noise in the Arab know thy enemy before you do error-correction and that's the 1 you just now he applied the state in a different way you start with the symmetric state right here so you created data half of them pointing up and the other half point that then of course they work opposite to each other that's a big reentry subspace with respect to the when and if you know of course you don't get that the year scientists as long as it is allowed by the spontaneous emission within the error limits radius of for example when you know look for the decay that it's more like 300 ms and this is what the decay time really is in this case even that could be protected for so we could just add another pilots and go to the ground state so we know that for a long time and the fact we've used up so in fact want to use long clearance insights of to protect these things then we can just type things in the ground states and just encode the system in such a way so we have lifetimes of the environment more like 20 seconds so this is known we just want to know what is the technical limitations and what do we have to do for short times to overcome this before we noticed this that and work the just a side remark right here but the idea that pointed out here by just using the ground states and maybe to from business friends this these 2 assailants states is that it serves to encoding things in this unit the grants for subspace with respect to many in the ground state so here you would use a fork you instead of 2 and encode the Logitech you wouldn't 2 also for example by going the logical below that userid as as prime logical 1 2 as primers and then we still have the edges ability year and you could simultaneously address to both the animal science and that's what you've done the trade saving a factor of 2 warrants but from then coherence that's and you just have to figure out know all the gory details so maybe get operation to make a long story short yes you can do that so we made a 1st experiment to make a real logical going operation in the clearance results by some time ago and this is the full democracy process matrices process operators that gives you a few minutes the Internet is not perfect but I think this can be improved on and it shows that all of the tools that we have applicable to these things and can be used for that OK so that's a reminder of service for the for them is that we have on the 3 operations only getting closer to what we actually want to it yeah so operations could be as wide spirits expressed and the individual gates and things like that but this is an all complete set and the question really is how on the path to the IRA thank you then many for this so another this really is what enticed the the appropriate choice of the operations to make a certain algorithm work this is now it's not unique because you have very many many parts as possible of this we have try to investigate this some time ago but the use quantum optimal control method so for example you just write down a Hamiltonian piecewise that this was a very right here and read that we just try to rescind our gate operations by applying ordered sequence of these applications of these operations and here what what controlled you just use procedure in this case we just used the great algorithm nearby Canada Germany MIT reference about what but we restricted also also us not to do simultaneous applications of several Hamiltonian suggest to this as indicated Europe's wise and by water and we have a sequence of pulses with variable length we do not allow to allow for arbitrary amplitudes that's very often done in Anamartic not in fact we just that just about just we
really we limited ourselves to mirror postings of pirates this can be argued that thinking back to the discussion so for example if you realize looked really don't want profligate usually this would have to be realized as whites 6 see not get operations and a few local operations this can be done now by this implementation verities collective gets the summers so this is only 3 members are science and 3 local operations that's less than half as long as what you would do was ordinary synoptic and I was just going back to the error-correction if you want to error correction using that now several times then of course you have the encoding step then the error may happen and then you have to syndrome detection and the correction in use of properties you reset of the inservice rate units although but this is the primitive that you really want to realize of course now the idea is if you do this in a complete way then this is actually unitary and we wanted to use now all procedure to come up with a unitary that exactly does this so for example if you this is what you get if you just come up with an optimized sequence this looks like indicated here I can't give you an intuitive idea why this is this and not all the way round this is so the output of computer and you need become this a similar results for just slightly longer slightly short whatever this is 1 of the and this I think this is the sum of the shortest ever be found invoking only by rate but we didn't want to get in small something picking increased and I think this is good enough they're just your own all we do this in fact he made even simpler because we really didn't want to start with 5 lines but only 3 answers to begin with because it's too too many things to control otherwise if you start Iisten and these are the the you have to do this as a somewhat different way again that's the encoding the Arakan happen here the decoding phase and you just want me but you have to reset now urine most but in order to start over again of course you have to re- encode the system otherwise you just a repeating so Oregon but now you have 3 that's that that's a drawback and this of course then leads to errors in addition but just show you what we did OK but he wanted to correct for phase errors because remember the monadic few of course mostly the phasing accepted flips that incontinence mostly device so we just have to use harder loss in addition right here all of all these places not all of the give the computer some leeway in order to find the optimal optimal sequence we allow for sale a dummy operation the year of the the inverse of the that simpler simplifies encoding of of which which commuter the error for except you care about that you just leave the computer that the rate and also because you have to reset inservice anyway it doesn't really matter whether we just include here another arbitrary unitary operation so that could be there's been there for the computer to optimize is degrees of freedom when you do that than all of this sequence the computer comes up without modifying the I wasn't as a very tiny sequence the first one is intuitively clear the encoding right here is nothing but encoding into reduce the state but also told you before the militants and gave a bridge that's exactly that so it's just 1 boats is the they are just note that the start of the 1 certain to and ones in the ground state but that's just a technical then the error can happen and here I don't have an intuitive picture what that does but in the end you come up with only 3 members in science and for a time of global operations and 1 local operations when if you want microseconds long this goes very very fast than Austria after reset the insolence that's the point that you still have to do and this is where you take the entropy away so you just have to take them out of the system what do we do that I remember the 1 is the ground state and the excited state this is 0 and not everything is encoded here between 1 and 2 and 0 that's the superposition when we want to reset the answer lets you do 1st the following we just show you of the amplitude of the population of that state down to the S prime state found there then we apply a laser parts we just read pump these things to be a state so we just reset that consider completely and then we just go ahead to the system the system is really again there in state 1 as indicated that there is a lot so optical pumping and we to worry but by the fit the thing this is present because that could very well be that you in the fluorescence was not only happens on this that whole back and so would just about forcible times that it might scatter on a site band that period to form and emotion however just analyzing this we know we just get about open 0 4 1 4 fonts proceed and you can live that because the ministers operation stressful independent of the so we really don't have all of the information encoded and it's so this is how we start the coat or information right here in the Jesse state the error may happen then the correct for the error and then we repeat all over again
and the entire sequence then looks like that so we have just 3 times in a roll of this the the the this this procedure which is consisting of about 2 and then finally realized this boat sequence and that assesses before the recent operation what are the results 1st of all you want to make sure that of course we do see us an identity if we don't do anything we should get our identity as a high a probability and here it is always strong the process tomography so desired and the identity of this X Y Z and upon pollen notation so we just here retrieve our how identity of the doing nothing that might isn't the set keep in mind here are always limited for the preparation steps and some fit operations of you need to to know that encode and decode of without doing any errors but that didn't is if you just have now so 1 step so we just introduce single qubit arrows only the signature bit errors can be induced by just randomly shining in that laser on what you want 1st 2nd or 3rd year at the just make all of the of the phase are in the same kind of shortly before that phase error that is now applied randomly to all of these and they're making error correction and then he asked solid Muturi faces the system the if we don't do errors the study was sent with arrows also 90 percent the error-correction since the very fine it's just a preparation and animal analysis that the distance that we used the fidelity likewise was really repeat the 2nd time it said he was sent with and without the the 3rd time it's the same thing the nor elements so you can actually claim that procedure that we come up with perfectly corrects for all these errors it's is just so that you divinity in all the preparatory and then analysis steps that we have in this and this can be summarized here for the flight catch here's the process fidelity drawn as a function of the error probability and for the day so far we have to make this how the how we did a did make the Arabs if you just wait then you can remind them were these correlated errors so just waiting reducing the waiting time than being ingredient of the user the green curve right here that's correlated noise correlated noise has much higher probability that gets to photo to for the two bit errors instead of a single qubit our and that strong year if you calculate the probability for having is to pure there a function there is the green curve right here you can measure actually that how ever you want to know does is really correct for assessing the qubit correcting code can be correct forcing attributes errors and this is what we want to do so we have to introduce single qubit noise that's an issue with my solitary that minute was induced here and aside from all the preparation as arrows then get really sort of a break even in this area we are getting better the error probability that they had before the unfortunate the system is not there yet because possess another correlated noise and you have to do something about it and the vessels I have is there a procedure to correct for correlated was reluctant to so we have to think about these things which as the very idea how we actually introduced this that this uncorrelated and here just make use the fact that you can just project the state authorities the briefly the prime and interpret this as phase that in just a projection of the c-axis and this is sort of face noise that you have here and so we apply for this just to the dubious which is encoded right here for a very short amount of time with variable intensity of just apply to just sports that part and then that introduces the necessary arose but this can be done on the in a stronger way to me just show you for example we can encode and then you could hide for example the Cubans that actually encode our protector of protected information right here and here we just could apply no more radiation in fact you could actually applauded jump sequence of all to see whether we should reject the system the ground state on the excited state you see this the histogram that we had before once we don't see any like the system was in the excited state if you see light the system was here in the process and now if you do that and our system very fine and through human mind the projection is just the projection along the c-axis we interpret that as a food fully defaced system then we should be able to resurrect the system should be able to undo of measurement and this is exactly what happens when they just make that and then the fight the system the process tomography in use at the earliest state so we get that result with nearly 7 I presented 74 per cent then the fidelity years slightly higher because when the system is here use feather-light here the system doesn't change very much but when you're in the system is in the estate is cut lot of fluorescence and that could be that the system is heated up and in order to to to to suppress that what we did is we just use the recording during the time the major to make sure that the system stays in the lowest of foreign states if you don't do that you sample from that and in the s stage you find only fidelity of 50 % there's the rest this is just the 1st result of last week of the course you trying to do is much better but it shows you the power that you can actually have with this error correction and then if somebody with the last May 15 years ago I can and do a quantum jump I would have laughed because that quantum was really a prototype of a destructive measurement and for this I think this is a nice demonstration that these things really work so there was a comet centers have wonderful so that the week can use this for I would like to show you in the in the few applications that you're currently working on in their we really want to 1 direction the quantum error-correction particles and this is 1st and foremost quantum simulations with the goal of course is that we want to simulate the physics of a system with another 1 that's easier to control and to measure cause we need to be able to engineer interactions and measure the relevant results as you've seen and I hope will convince you that trap lines yet small but reliable quantum systems that we have of course cubits but also continues variables is that forward also that the degree of freedom that we have excellent control index and measurement capabilities now there's 2 ways with which you can do quantum simulations and usually we all do this in an analog and additional fashion the analog approach the out form simulation is in such a way that it tried to engineer Hamiltonian exactly matching the system evidence Soviet trying to reinterpret the parameters that go into the Hamiltonians in such a way that the Mac's these things space leads to what we have a parent with our systems with our toolbox so for example you can do this in optical lattices where there are many fronts on the rate on iron expressions in the way they have these these strings of Lions but there's another way you can actually do also additional quantum simulations and additional quantum simulation actually is using now of sort of a full-blown quantum computer use the circuit model in such a way that you decompose the dynamics
induced but this is Hamiltonian to a sequence of quantum realized piecewise begin buys this unit is the unit unitary and of course this unit here is eventually have to make up for that to the system on there's the B simulator but this is comprised of parts that not necessarily commute with each other but that's not the case then you can make use of this part of formulas we can piecewise apply these things and just of approximate better and better but that the system of course in the in the depths of something we haven't done yet you would have to apply quantum error correction The goal for very long sequences to make sure that these things really so wide but this of the story but can you see other story comes together a that just a Triton movies since every of famine not going to talk about this and look at the things religious traditions of the year so remember put additional quantum simulation we really want to use of the surrogate model as this here and you have the system register and of through books as indicated are a game the address of single attribute gates on in tagging gets there's nothing it's of course you have the other 2 boxes will and to you just run all these things through all optimizer full of optimizing compiler for the poachers and then we just applied that so they just give you the parameters of the algorithm suppose we have no written down system have a that you really want to model 1 to implement and piecewise we just try encode this and you just realize local unit there is a and the local evolution for that then the approximate the global evolution by having the broader formula right here and I've just replaced the at this this this with phrases such as public face now instead of all this images though the ideas and then is to realize all of these individual or unit there is a game the toolbox that we've had before because we can do arbitrary you areas and then the should identify them and by them over over again in times until we finally get than the result that this is sufficient for local 1 existence was pointed out by Serre Floyd in 1996 in that paper so knowledge just try to to realize this as a toy model we started out with the 2 spin using system and that was when using system on for just shows you the dynamics of these 2 2 spins right here and you're usually just during that ratio of these and of the of interaction and that is that the energy is right here so let's just see how we implement that if you write down now the unitary you realize this is effective spin-spin interaction and this just a Sigmar interaction indicated right here the whole doberman doubt this is the moment Sorensen gates and this is clearly 1 of our AC socket so what you really know used all operations that they have little looks to make these things and the dynamics that you want to simulate years for example now just the spin-spin interaction you want to see how often does the this point up and just the evolve this entire if we break this down the pieces like this then you get a very bad of agreement right here so this these are these experiments and the date is only 6 in that space they make a smaller and smaller the utility increases and finally make it finer and finer so the system evolution is nicer described by this after stimulation but once we demonstrate this you can do a lot more we can do systems and simulations of spend 3 spin enlightenment was been simulations but of the various kinds we can just using the income using also even as muse has the most we can use this N-body systems you name it we can do it and just to give you a few examples right here as we implement this the using again that's the militants in the global lazy O star XY model for example would be another member Sorenstam because that would be replaced but it's been in the y-direction or xyz mall so this can also be done by sandwiching that same assurance in between 2 those secrecy operations of carrier operations right here in all cases the entities that are close to 80 percent and that shows that the system solution can be described as we want to have but you can do you more which is not easily relevant many other things a little box is now extending and that's what I want to convey to U.S. theorists who may want to know what can you do for this can we can do many-body operations effective three-body Hamiltonians can be realized Frances percentage in the Members' as an operation is 1 of these see 5 so this half services by 0 4 right here and this realize effectively that Sigmar C is it surprise operation and then you can study some interesting dynamics so for example when you apply this to 3-irons 11 and a shift in between us negative right here they it can generate you can generate the GSC state without kind as see the parity thoughts right away with a very high fidelity review measured stability bounds by Mr. the follow off 1 but you can you know more you can actually make an effective st spin interactions and create state a 6 at stayed immediately but that is not as good as locally but it just shows you that the toolbox style really extended and what I would like you to do theorists the come up with the procedure from either to tell me what is the optimum sequence to use all of these powerful tools to do the operations because we have these get operations that are much more powerful than this simply go operations that we have so far that may conclude with a few things here but what we really want to do this just shows you what you can do for ions for example if you want to study the time-dependent dynamics the frequencies of course can that tell was the spectrum region before it transform into the gaps of the system whatever I got is can the fact that we have a number of limiting our resources density fluctuations which can be corrected for different ways but of course there other errors and here we need our protection indications result basis for active error-correction as a short and you're trying to combine these systems right now this brings you to the end of my talk about Shawnee all of these things that we just dressed whatever you want to the future of course we want to further optimize all these things you want to go on with correction Borel's 5 G with different encoding and the further 1 to implement Logic cubits and make sure that they can scale these things up put that's require some technology watching after all have a dream and that the convey you my dreams year working strings like this and then do all the technical things but my real dream as this 1 for a number of reasons not so much for number crunching I want to keep a Hubert alive suppose that taps into 11 systems that too is that system is affected by a path or way measurement brain-eating it's you don't can we have an error correction procedure and you resurrected all the time that's the perfect spinning top that's a perfect local oscillator for orgy reasons that's what I want to have this is what I want to realize before a time this is my dream and there's all other things that just come from that a number of applications of quantum metrology and quantum information processing quantum simulations 1 computation lots of these things but they all rely on this and that's where my dream goes and fear of the people who helped me realize this thank you very much for that the
the the thank you Ronald for Baroness talk any questions units things really nice talks you have seen objects at the 98 per cent fidelity level yes to the best of my knowledge that's the highest fidelity synoptic that anyone has this in the world with your falling qubits system yes we are in the 10-Q salt tolerance fully fault-tolerant error correction such standards that with my 14 cube it's going to get you you don't need all 14 you can do with 10 so there seems to be the potential to start considering doing a fully fault-tolerant quantum error correction that's right with your existing debts tonight and standard which is sorry to be great to just talk about 28 that working you also have of course all these other tools to play with so yeah if can catch you off to its not so other questions I have a question about you control sequences so in those sequences you were doing 1 policy off to another gets and can you do pulses simultaneously and can you have a bearing on intensity during a policy with that give you additional that was not used to play with and sure guys and it's used the you're not using simultaneous bottles something responses are easily doable if Europe operating the carrier things that do not affect the motion of the ions but once you do some of the basic things that affect emotion giants that is a very tricky I've tried to study this numerically and with that let me know where if you have an idea how to figure that out but so far this numerically this like and that absolute wise you questions you of course are good but shipping use Latin poetasters which on and off at the sort of these things the or it doesn't give us any it would for we go wrong but I do not think that we can win a lot by say make new special have to check that out but even that could be done because in the in the doesn't care we have a tool box is have all the more complicated to produce certain operation perhaps enough to the motivator for this thing about so what I can steeple program that the PGA I don't care so if you have an idea please let me know the I mentioned that the natural areas when you were doing the error-correction were correlated errors or that there were naturally occurring correlated it seems like the tools you have you should be able to do code sticking cracked multiple Cuban areas you know are you just going to larger repetition code would like to learn about this yes and I would like to learn to to correct for more for fall for motor learners and that's what but that something we haven't so I know there's a lot of interest but for the sake of time and preserving the coffee break I think we're going be terminated and got its they did the writer Witten thank you for the next albeit in a minute
Fehlererkennungscode
Client
Prozess <Physik>
Verschränkter Zustand
Familie <Mathematik>
Quantencomputer
Implementierung
Information
Physikalische Theorie
Fehlermeldung
Resonanz
Bit
Prozess <Physik>
Momentenproblem
Gemeinsamer Speicher
Gruppenkeim
Baumechanik
Computer
Ungerichteter Graph
Hamilton-Operator
Superposition <Mathematik>
Temperaturstrahlung
Zahlensystem
Wechselsprung
Vorzeichen <Mathematik>
Theorem
Minimum
A-posteriori-Wahrscheinlichkeit
Elektronischer Programmführer
Qubit
Tropfen
Figurierte Zahl
Gerade
Einflussgröße
Parametersystem
ATM
Nichtlinearer Operator
Sichtenkonzept
Freier Ladungsträger
Kontrolltheorie
Quantencomputer
Ruhmasse
Bitrate
Dialekt
Algorithmische Programmiersprache
Linearisierung
Rechenschieber
Verkettung <Informatik>
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Metadaten

Formale Metadaten

Titel Quantum Information Processing and Quantum Error Correction with Trapped Ca+ Ion
Serientitel Second International Conference on Quantum Error Correction (QEC11)
Autor Blatt, Rainer
Lizenz CC-Namensnennung - keine kommerzielle Nutzung - keine Bearbeitung 3.0 Deutschland:
Sie dürfen das Werk bzw. den Inhalt in unveränderter Form zu jedem legalen und nicht-kommerziellen Zweck nutzen, vervielfältigen, verbreiten und öffentlich zugänglich machen, sofern Sie den Namen des Autors/Rechteinhabers in der von ihm festgelegten Weise nennen.
DOI 10.5446/35294
Herausgeber University of Southern California (USC)
Erscheinungsjahr 2011
Sprache Englisch

Inhaltliche Metadaten

Fachgebiet Informatik, Mathematik, Physik
Abstract Trapped strings of cold ions provide an ideal system for quantum information processing. The quantum information can be stored in individual ions and these qubits can be individually prepared; the corresponding quantum states can be manipulated and measured with nearly 100% detection efficiency. With a small ion‐trap quantum computer based on up to fourteen trapped Ca+ ions as qubits we have generated genuine quantum states in a preprogrammed way. In particular, using high fidelity global and local quantum gate operations, with GHZ states of up to fourteen ions we have investigated noise and error sources during quantum information processing. Decoherence of multi‐qubit GHZ states was measured and is quantitatively described a noise model. Using optimized sequences of high fidelity gate operations enabled the implementation of repetitive quantum error correction. Future applications towards analog and digital quantum simulations will be indicated and briefly discussed.

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