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Open Quantum Systems Decoherence

The PPT² conjecture holds for all Choi-type maps

arXiv

Authors: Satvik Singh, Ion Nechita

Year

2020

Paper ID

19489

Status

Preprint

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~2 min

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Abstract

We prove that the PPT² conjecture holds for linear maps between matrix algebras which are covariant under the action of the diagonal unitary group. Many salient examples, like the Choi-type maps, depolarizing maps, dephasing maps, amplitude damping maps, and mixtures thereof, lie in this class. Our proof relies on a generalization of the matrix-theoretic notion of factor width for pairwise completely positive matrices, and a complete characterization in the case of factor width two.

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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 prove that the PPT^2 conjecture holds for linear maps between matrix algebras which are covariant under the action of the diagonal unitary group.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.03809 [2] arXiv https://arxiv.org/abs/2011.03809 [3] Publisher https://arxiv.org/abs/2011.03809

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