Quantum Sinkhorn’s theorem and applications in quantum information theory

Sergey Filippov,

Senior Researcher, Head of the Laboratory of Quantum Information Theory,
Moscow Institute of Physics and Technology;
Researcher at Microstructuring and Submicron Devises Laboratory,
Institute of Physics and Technology of Russian Academy of Sciences

06 July 2018, 15:00-16:30

Skoltech, TPOC-4, Nobel str. 1, Red Building, 3rd floor, Room 351


Abstract. Quantum Sinkhorn’s theorem states that nonunital positive maps can be reduced to unital ones by using two auxiliary completely positive maps with Kraus rank 1, one of which is applied prior to the considered nonunital map and the other is applied after it. The explicit relation is found in the case of qubit maps. Basing on such a relation, we study the entanglement dynamics under local nonunital noises and estimate classical capacity of nonunital qubit channels. Further implications of quantum Sinkhorn’s theorem are discussed.

Short BIO. Sergey Filippov got his master degree in Applied Mathematics and Physics from Moscow Institute of Physics and Technology in 2009 and PhD degree in Theoretical Physics ibid in 2012. Since 2009 he works as researcher in the Institute of Physics and Technology of Russian Academy of Sciences. In 2013 he was a postdoc in the Research Center for Quantum Information (Bratislava). In 2014 he was a postdoc in Russian Quantum Center (Skolkovo). Since November 2014 he is the head of Laboratory of quantum information theory in Moscow Institute of Physics and Technology. Since 2015 he works as an associate professor of Theoretical Physics ibid. Since 2016 he is a visiting researcher at University of Turku.


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