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Flag Fault-Tolerant Error Correction for any Stabilizer Code

delete2020-09-03
delete51
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OA
AI
R
Rui Chao *
R
Reichardt, Ben W.
DOI:10.1103/PRXQuantum.1.010302delete
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Abstract

Abstract

En 中文
Conventional fault-tolerant quantum error-correction schemes require a number of extra qubits that grow linearly with the code's maximum stabilizer generator weight. For some common distance-three codes, the recent flag paradigm uses just two extra qubits. Chamberland and Beverland [Quantum 2, 53 (2018)] provide a framework for flag error correction of arbitrary-distance codes. However, their construction requires conditions that only some code families are known to satisfy. We give a flag error-correction scheme that works for any stabilizer code, unconditionally. With fast qubit measurement and reset, it uses <= d + 1 extra qubits for a distance-d code.
Keywords:
QUANTUM COMPUTATION

Journal

P
PRX Quantum
IF:
11
Papers:
919
Citations:
9.0K

Organization

U
university of southern california
Scholars:
4.6W
Papers: 3.8W
Citations: 51