Quantum error correction of time-correlated errors

    Authors

    F. Lu;D. C. Marinescu

    Comments

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    Abbreviated Journal Title

    Quantum Inf. Process.

    Keywords

    quantum information; error correction; time-correlated; stabilizer code; CODES; Physics, Multidisciplinary; Physics, Mathematical

    Abstract

    The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems; an error corrected during the previous cycle may reoccur later due to physical processes specific for each physical implementation of the qubits. In this paper, we study quantum error correction for a restricted class of time-correlated errors in a spin-boson model. The algorithm we propose allows the correction of two errors per error correction cycle, provided that one of them is time-correlated. The algorithm can be applied to any stabilizer code when the two logical qubits vertical bar 0(L) > and vertical bar 1(L) > are entangled states of 2(n) basis states in H(2)(n).

    Journal Title

    Quantum Information Processing

    Volume

    6

    Issue/Number

    4

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    273

    Last Page

    293

    WOS Identifier

    WOS:000249652900006

    ISSN

    1570-0755

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