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Bi-PPT channels are entanglement breaking

2022/04/04 by Alexander Müller‐Hermes, Müller-Hermes, Alexander, Satvik Singh +1
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.2204.01685

Abstract

In a recent paper, Hirche and Leditzky introduced the notion of bi-PPT channels which are quantum channels that stay completely positive under composition with a transposition and such that the same property holds for one of their complementary channels. They asked whether there are examples of such channels that are not antidegradable. We show that this is not the case, since bi-PPT channels are always entanglement breaking. We also show that degradable quantum channels staying completely positive under composition with a transposition are entanglement breaking.

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