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SUMMARY:Complete criterion for convex-Gaussian-state detection. - Anna Ver
 shynina (RWTH Aachen)
DTSTART:20150212T141500Z
DTEND:20150212T151500Z
UID:TALK57641@talks.cam.ac.uk
CONTACT:William Matthews
DESCRIPTION:Majorana fermions offer a possible way to realize the universa
 l quantum computation. It was shown if the noisy ancillae are convex mixtu
 res of Gaussian fermionic states and the computation involves only non-int
 eracting fermions operations\, one can classically simulate such quantum c
 omputation. Hence rises the interest in developing a complete criterion th
 at determines whether a state is convex-Gaussian. I will review a criterio
 n by de Melo et al. that aims at characterizing the set of convex-Gaussian
  state from the outside and introduce a new one that characterizes the set
  from the inside. If a state fails the first program\, it is not convex-Ga
 ussian\, and if it is passes the new one\, it is convex-Gaussian. Both cri
 teria are complete\, i.e. the set of convex-Gaussian states can be approxi
 mated with an arbitrary precision by states that pass these criteria.
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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