Title

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

Authors

Authors

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

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

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

DOI Link

http://dx.doi.org/10.1103/PhysRevLett.98.040501

Language

English

First Page

4

WOS Identifier

WOS:000243789700005

ISSN

0031-9007

Recommended Citation

"Resilient quantum computation in correlated environments: A quantum phase transition perspective" (2007). Faculty Bibliography 2000s. 7480.
https://stars.library.ucf.edu/facultybib2000/7480