Physics – Quantum Physics
Scientific paper
2003-02-04
Rev. Math. Phys 15, 629--641 (2003)
Physics
Quantum Physics
This paper extends the results in section 3 of quant-ph/0207100, and gives a counter-example to the conjecture that all extrem
Scientific paper
10.1142/S0129055X03001709
This paper studies the class of stochastic maps, or channels, whose action (when tensored with the identity) on an entangled state always yields a separable state. Such maps have a canonical form introduced by Holevo. Such maps are called entanglement breaking, and can always be written in a canonical form introduced by Holevo. Some special classes of these maps are considered and several equivalent characterizations given. Since the set of entanglement-breaking trace-preserving maps is convex, it can be described by its extreme points. The only extreme points of the set of completely positive trace preserving maps which are also entanglement breaking are those known as classical quantum or CQ. However, for d > 2 the set of entanglement breaking maps has additional extreme points which are not extreme CQ maps.
Horodecki Michael
Ruskai Mary Beth
Shor Peter W.
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