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Open Quantum Systems Decoherence

Nullspaces of Entanglement Breaking Channels and Applications

arXiv

Authors: D. W. Kribs, J. Levick, K. Olfert, R. Pereira, M. Rahaman

Year

2020

Paper ID

21818

Status

Preprint

Abstract Read

~2 min

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Abstract

We investigate the nullspace structures of entanglement breaking channels, and related applications. We show that every operator space of trace zero matrices is the nullspace of an entanglement breaking channel. We derive a test for mixed unitarity of quantum channels based on complementary channel behaviour and entanglement breaking channel nullspaces. We identify conditions that guarantee the existence of private algebras for certain classes of entanglement breaking channels.

Why This Paper Matters

This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2020 reference point for readers tracking recent quantum research.
We investigate the nullspace structures of entanglement breaking channels, and related applications.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.15893 [2] arXiv https://arxiv.org/abs/2007.15893 [3] Publisher https://arxiv.org/abs/2007.15893

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