Questions tagged [entanglement-breaking-channels]
a class of stochastic maps, or channels, whose action (when tensored with the identity) on an entangled state always yields a separable state.
4
questions
1
vote
1answer
57 views
Are entanglement breaking channels of any use?
As the name suggests, an entanglement breaking channel $\Phi$ is such that $(Id \otimes \Phi)[\rho]$ is always separable, even when $\rho$ is entangled. Won't such channels be useless, as they destroy ...
2
votes
0answers
88 views
A way to check if entanglement is increased or decreased
I was wondering if there is a way to check if the amount of entanglement is increased or decreased after a quantum operation without calculating the actual value.
That is, it does not concern with the ...
0
votes
0answers
19 views
Can the CCNR entanglement criterion be seen as a "natural" statement about entanglement breaking channels?
(The CCNR criterion) The computable cross-norm or realignment (CCNR) entanglement criterion, as discussed in (Gühne and Toth 2008), is based on the observation that any bipartite state $\rho$ can be ...
2
votes
3answers
171 views
Why are entanglement breaking channels, defined as $\Phi(\rho)=\sum_a \operatorname{Tr}(\mu(a)\rho)\sigma_a$, entanglement breaking?
Define an entanglement breaking channel $\Phi$ as a channel (CPTP map) of the form
$$\Phi(\rho) = \sum_a \operatorname{Tr}(\mu(a)\rho) \sigma_a\tag A$$
for some POVM $\{\mu(a)\}_a$ and states $\...