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SUMMARY:Zero-Error Classical Channel Capacity and Simulation Cost Assisted
  by Quantum Non-Signalling Correlations - Duan\, R (University of Technolo
 gy\, Sydney)
DTSTART:20131003T130000Z
DTEND:20131003T140000Z
UID:TALK47648@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We study the one-shot zero-error classical capacity of quantum
  channels assisted by quantum non-signalling correlations\, and the revers
 e problem of exact simulation. Both lead to simple semi-definite programmi
 ngs whose solutions can be given in terms of the conditional min-entropies
 . We show that the asymptotic simulation cost is precisely the conditional
  min-entropy of the Choi-Jamiolkowski matrix of the given channel. For cla
 ssical-quantum channels\, the asymptotic capacity is reduced to a quantum 
 fractional packing number suggested by Harrow\, which leads to an operatio
 nal interpretation of the celebrated Lovasz function as the zero-error cla
 ssical capacity of a graph assisted by quantum non-signalling correlations
 .\n\nThis talk is based on a joint work with Andreas Winter (UAB).\n\n
LOCATION:Seminar Room 1\, Newton Institute
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