On quantum channels and operations preserving finiteness of the von Neumann entropy
arXiv:2004.03582 · doi:10.1134/S1995080220120392
Abstract
We describe the class (semigroup) of quantum channels mapping states with finite entropy into states with finite entropy. We show, in particular, that this class is naturally decomposed into three convex subclasses, two of them are closed under concatenations and tensor products. We obtain asymptotically tight universal continuity bounds for the output entropy of two types of quantum channels: channels with finite output entropy and energy-constrained channels preserving finiteness of the entropy.
arXiv comment21 pages, preliminary version, any comments are welcome. arXiv admin note: substantial text overlap with arXiv:1704.01905, arXiv:1907.02458
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Cited by in corpus (4)
- Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps
- On quantum states with a finite-dimensional approximation property
- Lower semicontinuity of the relative entropy disturbance and its corollaries
- New monotonicity property of the quantum relative entropy