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SUMMARY:Multiplicativity of completely bounded p-norms implies a strong co
 nverse for entanglement-assisted capacity - Wilde\, M (Louisiana State Uni
 versity)
DTSTART:20131212T140000Z
DTEND:20131212T150000Z
UID:TALK49306@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The fully quantum reverse Shannon theorem establishes the opti
 mal rate of noiseless classical communication required for simulating the 
 action of many instances of a noisy quantum channel on an arbitrary input 
 state\, while also allowing for an arbitrary amount of shared entanglement
  of an arbitrary form. Turning this theorem around establishes a strong co
 nverse for the entanglement-assisted classical capacity of any quantum cha
 nnel. The present work proves the strong converse for entanglement-assiste
 d capacity by a completely different approach. Namely\, we exploit the rec
 ent entanglement-assisted "meta-converse" theorem of Matthews and Wehner\,
  several properties of the recently established sandwiched Renyi relative 
 entropy (also referred to as the quantum Renyi divergence)\, and the multi
 plicativity of completely bounded p-norms due to Devetak et al. The proof 
 here demonstrates the extent to which the Arimoto approach can be helpful 
 in proving strong converse theorems\, it provides an operational relevance
  for the multiplicativity result of Devetak et al.\, and it adds to the gr
 owing body of evidence that the sandwiched Renyi relative entropy is the c
 orrect quantum generalization of the classical concept for all alpha > 1. 
 This is joint work with Manish K. Gupta and is available as arXiv:1310.702
 8.\n
LOCATION:Seminar Room 1\, Newton Institute
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