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Faulttolerant quantum computation with asymmetric BaconShor codes
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Title  Faulttolerant quantum computation with asymmetric BaconShor codes 
Title of Series  Second International Conference on Quantum Error Correction (QEC11) 
Author 
Brooks, Peter

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CC Attribution  NonCommercial  NoDerivatives 3.0 Germany: You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and noncommercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
DOI  10.5446/35290 
Publisher  University of Southern California (USC) 
Release Date  2011 
Language  English 
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Subject Area  Computer Science, Mathematics, Physics 
Abstract  BaconShor codes are quantum subsystem codes which are constructed by combining together two quantum repetition codes, one protecting against Z (phase) errors and the other protecting against X (bit flip) errors. In many situations, for example flux qubits, the noise is biased such that Z errors are much more common than X errors; in these cases it is natural to consider an asymmetric BaconShor code where the code protecting against Z errors is longer than the code protecting against X errors. This work provides faulttolerant gadget constructions to achieve universal faulttolerant quantum computation using asymmetric BaconShor codes and controlledZ gates as the only twoqubit gates. The qubits can be arranged in a constantwidth ribbon and all gates performed on single qubits or neighboring pairs of qubits. In the presence of biased noise, these constructions allow for powerful reductions in the error rate with modest resource overhead. 
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