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A system's wave function is uniquely determined by its underlying physical state


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In the early days of quantum theory there were many discussions between eminent and physicists about the fundamental nature of the theory a lot of
correspondence was exchanged for many years some of the deepest questions remained unanswered In particular what is the meaning of the central object in quantum theory wave
functions this is the real thing does it represent a state
of knowledge about the parameters of some underlying reality or is it a tool used to make predictions
about the outcomes of future measurements with no deeper significance In all work we give an argument that
rules out the 2nd sentence cases yeah we consider creation device that's according to
quantum theory generates stateside I suppose there is a hypothetical high theory in which the state would instead be represented by some other parameter land so when the system was created in stateside the high theory describes state land instead well and is distributed according to some probability distribution we want to think of the parameter of the highest theory as representing reality the site is uniquely determined by the parameter we can think of Israel Tennessee is that the devices that generate different way functions could generate the
same Rio state land to investigate this we consider the predictions we can make about the outcomes
of measurements let is called measurement outcome X because land is supposed to represent the state of reality if we know land upside doesn't help us to make predictions In other words the conditional probability of X given land and sigh it is the same as the conditional probability of acts we save land there is complete this is related to the concept of siding completes site is no landed doesn't help us make predictions the completeness of society is not something we assume in this work here is an illustration of all
possible worlds away functions can have each graph shows the probability distribution over the parameters land for hypothetical higher theory the 3 possible side each represented with a different color In the top grower for each possible value of land there is only 1 possible sigh while conversely In the bottom row some values of land more than 1 side is possible in the left column the distributions have supports on only 1 value of land subside uniquely determines slander while on the rights and given side may give rise to a range of possible values slander the main results file
papers that it rules out the bottom row using the assumption of free choice of suspects the natural course in order In other words the wave function is uniquely determined by the promises of any real theory this is the same conclusion obtained by proceed Barton Rudolph but with free choice replacing their assumption of preparation had
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Formal Metadata

Title A system's wave function is uniquely determined by its underlying physical state
Title of Series New Journal of Physics, Volume 19, 2017
Author Colbeck, Roger
Renner, Renato
License CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
DOI 10.5446/21893
Publisher Institute of Physics (IOP), Deutsche Physikalische Gesellschaft (DPG)
Release Date 2017
Language English

Content Metadata

Subject Area Physics
Abstract We address the question of whether the quantum-mechanical wave function Ψ of a system is uniquely determined by any complete description Λ of the system's physical state. We show that this is the case if the latter satisfies a notion of 'free choice'. This notion requires that certain experimental parameters—those that according to quantum theory can be chosen independently of other variables—retain this property in the presence of Λ. An implication of this result is that, among all possible descriptions Λ of a system's state compatible with free choice, the wave function } is as objective as Λ.

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