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- W2951569476 abstract "We study the performance of Bacon-Shor codes, quantum subsystem codes which are well suited for applications to fault-tolerant quantum memory because the error syndrome can be extracted by performing two-qubit measurements. Assuming independent noise, we find the optimal block size in terms of the bit-flip error probability p_X and the phase error probability p_Z, and determine how the probability of a logical error depends on p_X and p_Z. We show that a single Bacon-Shor code block, used by itself without concatenation, can provide very effective protection against logical errors if the noise is highly biased (p_Z / p_X >> 1) and the physical error rate p_Z is a few percent or below. We also derive an upper bound on the logical error rate for the case where the syndrome data is noisy." @default.
- W2951569476 created "2019-06-27" @default.
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- W2951569476 date "2012-09-04" @default.
- W2951569476 modified "2023-09-27" @default.
- W2951569476 title "Optimal Bacon-Shor codes" @default.
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