On Random Unitary Channels

Details On Random Unitary Channels On Random Unitary Channels

2007-09-06

arxiv.org/abs/0709.0824v1

Physics

Quantum Physics

11 pages, typeset using RevTeX4

Scientific paper

10.1088/1367-2630/10/2/023011

In this article we provide necessary and sufficient conditions for a completely positive trace-preserving (CPT) map to be decomposable into a convex combination of unitary maps. Additionally, we set out to define a proper distance measure between a given CPT map and the set of random unitary maps, and methods for calculating it. In this way one could determine whether non-classical error mechanisms such as spontaneous decay or photon loss dominate over classical uncertainties, for example in a phase parameter. The present paper is a step towards achieving this goal.

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