Bi-PPT channels are entanglement breaking
- URL: http://arxiv.org/abs/2204.01685v2
- Date: Sun, 9 Apr 2023 06:14:22 GMT
- Title: Bi-PPT channels are entanglement breaking
- Authors: Alexander M\"uller-Hermes and Satvik Singh
- Abstract summary: We show that 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.
- Score: 77.34726150561087
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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