Title

Bound on quantum computation time: Quantum error correction in a critical environment

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. A

Keywords

CODES; DECOHERENCE; SYSTEM; Optics; Physics, Atomic, Molecular & Chemical

Abstract

We obtain an upper bound on the time available for quantum computation for a given quantum computer and decohering environment with quantum error correction implemented. First, we derive an explicit quantum evolution operator for the logical qubits and show that it has the same form as that for the physical qubits but with a reduced coupling strength to the environment. Using this evolution operator, we find the trace distance between the real and ideal states of the logical qubits in two cases. For a super-Ohmic bath, the trace distance saturates, while for Ohmic or sub-Ohmic baths, there is a finite time before the trace distance exceeds a value set by the user.

Journal Title

Physical Review A

Volume

82

Issue/Number

2

Publication Date

1-1-2010

Document Type

Article

Language

English

First Page

4

WOS Identifier

WOS:000281405500002

ISSN

1050-2947

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