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Open Quantum Systems Decoherence

Convex approximations of quantum channels

arXiv
Authors: Massimiliano F. Sacchi, Tito Sacchi

Year

2017

Paper ID

7538

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

We address the problem of optimally approximating the action of a desired and unavailable quantum channel Φ having at our disposal a single use of a given set of other channels \{Ψi \}. The problem is recast to look for the least distinguishable channel from Φ among the convex set sumi pi Ψi, and the corresponding optimal weights \{ pi \} provide the optimal convex mixing of the available channels \{Ψi \}. For single-qubit channels we study specifically the cases where the available convex set corresponds to covariant channels or to Pauli channels, and the desired target map is an arbitrary unitary transformation or a generalized damping channel.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We address the problem of optimally approximating the action of a desired and unavailable quantum channel Φ having at our disposal a single use of a given set of other channels Ψi.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1709.03805 [2] arXiv https://arxiv.org/abs/1709.03805 [3] Publisher https://arxiv.org/abs/1709.03805

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