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For questions about quantum channels or more generally quantum maps and the related formalism. For questions about unitary operations, please use quantum-gate instead.

9 votes
3 answers
727 views

What are the possible Kraus operators of the identity channel?

Consider a Kraus representation $\{A_a\}_a$ of the identity channel $\mathcal{I}$ that maps any state to itself. Of course, $\{A_a\}_a$ are not the simplest Kraus operators, which would just be $\{I\} …
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  • 363
5 votes
1 answer
383 views

Quantum channels that commute with any unitary channel

Consider a quantum channel $\Phi$ that maps from density operators $\mathcal{S}(\mathcal{H}_A)$ to itself, that commutes with any unitary channel $\mathcal{U}$ on $\mathcal{S}(\mathcal{H}_A)$, i.e. $\ …
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  • 363
1 vote
1 answer
63 views

Is there a notion of approximate entanglement breaking (EB) channels?

Is there a notion of approximate entanglement breaking (EB) channels? Say, e.g. the output is always close to a separable state. If so, do the nice properties of the EB channels, such as additive clas …
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  • 363
0 votes
0 answers
19 views

Quantum Channel with least disturbance for any input and output dimensions

Let $n$ and $m$ be two arbitrary dimensions of the input Hilbert space and output Hilbert space respectively. What is the quantum channel that preserves information as much as possible (i.e. with the …
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  • 363