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Zeng, Weilei; Pryadko, Leonid P. (, Physical Review Letters)
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Zeng, Weilei; Ashikhmin, Alexei; Woolls, Michael; Pryadko, Leonid P. (, 2019 IEEE 20th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC))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
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