Phys. Rev. A 78, 062335 (2008) [9 pages]

Lower bounds on the nonzero capacity of Pauli channels

Abstract

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Jesse Fern^1,2,* and K. Birgitta Whaley^2,3
¹Department of Mathematics, University of California, Berkeley, California, 94720, USA
²Berkeley Quantum Information Center, University of California, Berkeley, California 94720, USA
³Department of Chemistry, University of California, Berkeley, California, 94720, USA

Received 13 August 2007; revised 22 September 2008; published 19 December 2008

We study encodings that give the best-known thresholds for the nonzero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to calculation of the threshold values. Our results show that Pauli noise is correctable up to the hashing bound. For a depolarizing channel, this approach allows one to achieve a nonzero capacity for a fidelity (probability of no error) of f=0.808 70.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.78.062335

DOI:

10.1103/PhysRevA.78.062335

PACS:

03.67.Pp

^*jesse@math.berkeley.edu

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Phys. Rev. A 78, 062335 (2008) [9 pages]

Lower bounds on the nonzero capacity of Pauli channels