Resilient quantum computation in correlated environments: a quantum phase transition perspective.

Published

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Novais, E; Mucciolo, ER; Baranger, HU

Published Date

  • January 23, 2007

Published In

Volume / Issue

  • 98 / 4

Start / End Page

  • 040501 -

PubMed ID

  • 17358749

Pubmed Central ID

  • 17358749

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.98.040501

Language

  • eng