Resilient quantum computation in correlated environments: A quantum phase transition perspective

    Authors

    E. Novais; E. R. Mucciolo;H. U. Baranger

    Comments

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    Abbreviated Journal Title

    Phys. Rev. Lett.

    Keywords

    ERROR-CORRECTION; CODES; NOISE; Physics, Multidisciplinary

    Abstract

    We analyze the problem of a quantum computer in a correlated environment protected from decoherence by quantum error correction using a perturbative renormalization group approach. The scaling equation obtained reflects the competition between the dimension of the computer and the scaling dimension of the correlations. For an irrelevant flow, the error probability is reduced to a stochastic form for a long time and/or a large number of qubits; thus, the traditional derivation of the threshold theorem holds for these error models. In this way, the "threshold theorem" of quantum computing is rephrased as a dimensional criterion.

    Journal Title

    Physical Review Letters

    Volume

    98

    Issue/Number

    4

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    4

    WOS Identifier

    WOS:000243789700005

    ISSN

    0031-9007

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