On maximum-likelihood decoding with circuit-level errors
Keyword(s):
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.
1979 ◽
Vol 25
(6)
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pp. 737-743
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Keyword(s):
2007 ◽
Vol E90-A
(7)
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pp. 1432-1443
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2017 ◽
Vol 09
(01)
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pp. 1750012
1998 ◽
Vol 44
(7)
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pp. 3083-3090
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