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Title: Structured error recovery for code-word-stabilized quantum codes
Authors: Li, Y.
Dumer, I.
Grassl, M. 
Pryadko, L.P.
Issue Date: 26-May-2010
Citation: Li, Y., Dumer, I., Grassl, M., Pryadko, L.P. (2010-05-26). Structured error recovery for code-word-stabilized quantum codes. Physical Review A - Atomic, Molecular, and Optical Physics 81 (5) : -. ScholarBank@NUS Repository.
Abstract: Code-word-stabilized (CWS) codes are, in general, nonadditive quantum codes that can correct errors by an exhaustive search of different error patterns, similar to the way that we decode classical nonlinear codes. For an n-qubit quantum code correcting errors on up to t qubits, this brute-force approach consecutively tests different errors of weight t or less and employs a separate n-qubit measurement in each test. In this article, we suggest an error grouping technique that allows one to simultaneously test large groups of errors in a single measurement. This structured error recovery technique exponentially reduces the number of measurements by about 3t times. While it still leaves exponentially many measurements for a generic CWS code, the technique is equivalent to syndrome-based recovery for the special case of additive CWS codes. © 2010 The American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
DOI: 10.1103/PhysRevA.81.052337
Appears in Collections:Staff Publications

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