On Random Unitary Channels

Koenraad M.R. Audenaert; Stefan Scheel

On Random Unitary Channels

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arxiv 0709.0824 v1 pith:M7KHV3IN submitted 2007-09-06 quant-ph

Koenraad M.R. Audenaert , Stefan Scheel This is my paper · ORCID

classification quant-ph

keywords unitarymapsrandomachievingadditionallyarticlecalculatingchannels

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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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Noise-Aware Mixed-State Quantum Computation via Parameterized Quantum Channels
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The paper frames parameterized quantum channels as a noise-aware computing resource and shows that optimizing a mixture of two noisy CNOT implementations improves channel fidelity in a simple emulator test.

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