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Proceedings Paper

Pauli channels exhibit a transition effect in memory estimation above a parametric threshold
Author(s): Michael R. Frey; Laura E. Coffey; Lucas K. Mentch; Amy L. Miller; Steven S. Rubin
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Paper Abstract

The classical communication capacities of quantum Pauli channels with memory are known to exhibit a transition effect. We revisit this phenomenon from the standpoint of the functionally analogous task of Pauli channel memory identification. We treat the complete class of Pauli channels with memory and determine the maximum quantum Fisher information achievable both with pure separable channel probe states and with maximally entangled bipartite probe states. A comparison of these Fisher informations reveals four distinct classes of Pauli channels and shows that only those channels that exceed a certain parametric threshold exhibit a transition effect. For those Pauli channels that exhibit this effect, the memory threshold at which it occurs has a simple analytic expression.

Paper Details

Date Published: 16 April 2010
PDF: 12 pages
Proc. SPIE 7702, Quantum Information and Computation VIII, 77020G (16 April 2010); doi: 10.1117/12.848606
Show Author Affiliations
Michael R. Frey, Bucknell Univ. (United States)
Laura E. Coffey, Rowan Univ. (United States)
Lucas K. Mentch, Bucknell Univ. (United States)
Amy L. Miller, Muskingum Univ. (United States)
Steven S. Rubin, Williams College (United States)

Published in SPIE Proceedings Vol. 7702:
Quantum Information and Computation VIII
Eric J. Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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