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SUMMARY:On minimum reversible entanglement generating sets - Fernando Bran
 dao\,  Imperial College London
DTSTART:20091118T141500Z
DTEND:20091118T151500Z
UID:TALK21120@talks.cam.ac.uk
CONTACT:13971
DESCRIPTION:Every pure bipartite entangled state can be reversibly interco
 nverted by local operations and classical communication into EPR pairs\, i
 n the limit of asymptotically many copies of the state. The problem of min
 imum reversible entanglement generating sets (MREGS) asks whether a simila
 r situation occur for states of more parties\, namely whether there is a f
 inite set of states for which any pure entangled state can be reversibly i
 nterconverted into some of its elements.\n\nIn this talk it will be shown 
 there is no finite MREGS in the restricted setting where only forward clas
 sical communication is allowed\, e.g. from Alice to Bob and from Bob to Ch
 arlie in the three parties case. \n\nMoreover\, for the general case of un
 restricted classical communication among the parties\, we make partial pro
 gress in the problem and show that conditioned on the existence of infinit
 ely many inequivalent classes of bipartite bound entangled states\, there 
 is no finite MREGS.\n\nWe also briefly discuss another application of our 
 techniques to the interconvertability of zero-capacity quantum channels.
LOCATION:MR14\, Centre for Mathematical Sciences
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