Email this article Lower Estimates for Distances from a Given Quantum Channel to Certain Classes of Quantum Channels
- Authors: Shirokov M.E.1, Bulinski A.V.2
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Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 241, No 2 (2019)
- Pages: 237-244
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242879
- DOI: https://doi.org/10.1007/s10958-019-04419-2
- ID: 242879
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Abstract
By using estimates for the variation of quantum mutual information and the relative entropy of entanglement, we obtain ε-exact lower estimates for distances from a given quantum channels to sets of degradable, antidegradable, and entanglement-breaking channels. As an auxiliary result, we obtain ε-exact lower estimates for the distance from a given two-particle state to the set of all separable states.
About the authors
M. E. Shirokov
Steklov Mathematical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: msh@mi.ras.ru
Russian Federation, Moscow
A. V. Bulinski
Moscow Institute of Physics and Technology (State University)
Email: msh@mi.ras.ru
Russian Federation, Moscow
