Title

Resilient Quantum Computation In Correlated Environments: A Quantum Phase Transition Perspective

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. © 2007 The American Physical Society.

Publication Date

1-30-2007

Publication Title

Physical Review Letters

Volume

98

Issue

4

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevLett.98.040501

Socpus ID

33846559801 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33846559801

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