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.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 138, Quantum Computing, 2017.
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Shirokov, M.E., Bulinski, A.V. Lower Estimates for Distances from a Given Quantum Channel to Certain Classes of Quantum Channels. J Math Sci 241, 237–244 (2019). https://doi.org/10.1007/s10958-019-04419-2
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DOI: https://doi.org/10.1007/s10958-019-04419-2