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- W2952600840 abstract "Let M and N be full matrix algebras. A unital completely positive (UCP) map phi:Mto N is said to preserve entanglement if its inflation phiotimes id_N : Motimes Nto Notimes N has the following property: for every maximally entangled pure state rho of Notimes N, rhocirc(phiotimes id_N) is an entangled state of Motimes N. We show that there is a dichotomy in that every UCP map that is not entanglement breaking in the sense of Horodecki-Shor-Ruskai must preserve entanglement, and that entanglement preserving maps of every possible rank exist in abundance. We also show that with probability 1, {em all} UCP maps of relatively small rank preserve entanglement, but that this is not so for UCP maps of maximum rank." @default.
- W2952600840 created "2019-06-27" @default.
- W2952600840 creator A5009978862 @default.
- W2952600840 date "2008-01-16" @default.
- W2952600840 modified "2023-09-23" @default.
- W2952600840 title "Quantum channels that preserve entanglement" @default.
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