Optimal Single-Shot Decoding of Quantum Codes

doi:10.1109/LCOMM.2024.3380079

2024-06-01

DOI：10.1109/LCOMM.2024.3380079

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摘要

En 中文

We discuss single-shot decoding of quantum Calderbank-Shor-Steane codes with faulty syndrome measurements. We state the problem as a joint source-channel coding problem. By adding redundant rows to the code's parity-check matrix, we obtain an additional syndrome error correcting code which addresses faulty syndrome measurements. Thereby, the redundant rows are chosen to obtain good syndrome error correction capabilities while keeping the stabilizer weights low. Optimal joint decoding rules are derived which, though too complex for general codes, can be evaluated for short quantum codes.

Keyword:

Decoding

Vectors

Error correction codes

Qubit

Measurement uncertainty

Error probability

Particle measurements

Optimal decoding

Calderbank-Shor-Steane (CSS) codes

quantum error correcting codes

joint sourcechannel coding

期刊

IEEE Communications Letters

IF:

4.4

论文数:

1.3W

被引数:

2.2W

机构

Polytechnic University of Milan

学者数:

2.0W

论文数: 1.8W

被引数: 24

Helmholtz Association

学者数:

13.2W

论文数: 10.7W

被引数: 145

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