Published July 16, 2007 | Version v1
Journal article

Fidelity of quantum operations

  • 1. Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, University of Aarhus, Ny Munkegade, Bld. 1520, DK-8000 Arhus C (Denmark)
  • 2. Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, Bld. 1530, DK-8000 Arhus C (Denmark)

Description

We present a derivation and numerous applications of a compact explicit formula for the average fidelity of a quantum operation on a finite-dimensional quantum system. The formula can be applied to averages over particularly relevant subspaces; it is easily generalized to multi-component systems, and as a special result, we show that when the same completely positive trace-preserving map is applied to a large number of qubits with one-bit fidelity F close to unity, the average fidelity of the operation on the full K-bit register scales as F3K/2

Additional details

Identifiers

DOI
10.1016/j.physleta.2007.02.069;
arXiv
arXiv:quant-ph/0701138v2;
PII
S0375-9601(07)00327-1;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
367
Journal Issue
1-2
Journal Page Range
p. 47-51
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39014178
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
INFORMATION THEORY; MANY-DIMENSIONAL CALCULATIONS; QUANTUM COMPUTERS; QUANTUM MECHANICS; QUBITS
Descriptors DEC
COMPUTERS; INFORMATION; MECHANICS; QUANTUM INFORMATION

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.