completely positive map造句

• Rigorously, a quantum operation is a linear, completely positive map from the set of density operators into itself.
• Sometimes the term refers more specially to a completely positive map which does not increase or preserve the density matrices.
• It is therefore a corollary of Stinespring's theorem that every unital completely positive map is the compression of some *-homomorphism.
• This is one way to see that completely positive maps, rather than merely positive ones, are the true generalizations of positive functionals.
• The characterization of separability in terms of positive but not completely positive maps can be naturally generalized from the bipartite case, as follows.
• The POVM formalism views measurement as one among many other quantum operations, which are described by completely positive maps which do not increase the trace.
• By Choi's theorem on completely positive maps, ? is CP if and only if " ? " ? is positive ( semidefinite ).
• In the finite-dimensional case, Choi's theorem as the tracial variant of the Belavkin's Radon-Nikodym theorem for completely positive maps is also relevant.
• Belavkin introduced the notion of complete absolute continuity of one completely positive map with respect to another ( reference ) map and proved an operator variant of the noncommutative Radon-Nikodym theorem for completely positive maps.
• Belavkin introduced the notion of complete absolute continuity of one completely positive map with respect to another ( reference ) map and proved an operator variant of the noncommutative Radon-Nikodym theorem for completely positive maps.
• In the context of quantum information, the quantum operations defined here, i . e . completely positive maps that do not increase the trace, are also called quantum channels or " stochastic maps ".
• Choi, originally described as a Chinese man in the shooting draft of " The Matrix " screenplay, could also possibly refer to the Man-Duen Choi's theorem on completely positive maps in mathematics.
• There also exists an infinite-dimensional algebraic generalization of Choi's theorem, known as'Belavkin's Radon-Nikodym theorem for completely positive maps', which defines a density operator as a " Radon-Nikodym derivative " of a quantum channel with respect to a dominating completely positive map ( reference channel ).
• There also exists an infinite-dimensional algebraic generalization of Choi's theorem, known as'Belavkin's Radon-Nikodym theorem for completely positive maps', which defines a density operator as a " Radon-Nikodym derivative " of a quantum channel with respect to a dominating completely positive map ( reference channel ).