Soft Syndrome Decoding of Quantum LDPC Codes for Joint Correction of Data and Syndrome Errors
- PAR ID:
- 10400158
- Date Published:
- Journal Name:
- 2022 IEEE International Conference on Quantum Computing and Engineering (QCE)
- Page Range / eLocation ID:
- 275 -281
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Error probability distribution associated with a given Clifford measurement circuit is described exactly in terms of the circuit error-equivalence group, or the circuit subsystem code previously introduced by Bacon, Flammia, Harrow, and Shi. This gives a prescription for maximum-likelihood decoding with a given measurement circuit. Marginal distributions for subsets of circuit errors are also analyzed; these generate a family of related asymmetric LDPC codes of varying degeneracy. More generally, such a family is associated with any quantum code. Implications for decoding highly-degenerate quantum codes are discussed.more » « less