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CATEGORIES:CQIF Seminar
SUMMARY:On minimum reversible entanglement generating sets
- Fernando Brandao\, Imperial College London
DTSTART;TZID=Europe/London:20091118T141500
DTEND;TZID=Europe/London:20091118T151500
UID:TALK21120AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/21120
DESCRIPTION:Every pure bipartite entangled state can be revers
ibly interconverted by local operations and classi
cal communication into EPR pairs\, in the limit of
asymptotically many copies of the state. The prob
lem of minimum reversible entanglement generating
sets (MREGS) asks whether a similar situation occu
r for states of more parties\, namely whether ther
e is a finite set of states for which any pure ent
angled state can be reversibly interconverted into
some of its elements.\n\nIn this talk it will be
shown there is no finite MREGS in the restricted s
etting where only forward classical communication
is allowed\, e.g. from Alice to Bob and from Bob t
o Charlie in the three parties case. \n\nMoreover\
, for the general case of unrestricted classical c
ommunication among the parties\, we make partial p
rogress in the problem and show that conditioned o
n the existence of infinitely many inequivalent cl
asses of bipartite bound entangled states\, there
is no finite MREGS.\n\nWe also briefly discuss ano
ther application of our techniques to the intercon
vertability of zero-capacity quantum channels.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:
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