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SUMMARY:Network information theoretic results for classical-quantum channe
 ls in the information spectrum setting - Naqueeb Warsi\, University of Oxf
 ord
DTSTART:20160204T141500Z
DTEND:20160204T151500Z
UID:TALK63234@talks.cam.ac.uk
CONTACT:Steve Brierley
DESCRIPTION:The goal of information theory is to understand the limits of 
 data compression and communication in the presence of noise.  Traditionall
 y in information theory literature it is common to study the underlying pr
 oblems in the asymptotic setting\, often assuming that the channel charact
 eristics do not change over multiple use. The proofs appeal to typicality 
 of sequences or subspaces: the empirical distribution of symbols in a long
  sequence of trials will with high probability be close to the true distri
 bution. However\, information theoretic arguments based on typicality  ass
 ume that both the source and channel are stationary and/or ergodic (memory
 less)\, assumptions that are not always valid. \nIn this talk we will disc
 uss some information theoretic protocols in the information-spectrum setti
 ng wherein there is no assumptions on source or channel being stationary a
 nd/or ergodic (memoryless). Such results are more general\, for one can re
 cover the asymptotic bounds in the i.i.d. (independent and identically dis
 tributed) setting as a special case. The general information-spectrum resu
 lts\, while sometimes technically harder to show (for arguments based on t
 ypicality is no longer available)\, are often so strong that nothing is lo
 st in deriving the asymptotic i.i.d. results from them. We discuss the fol
 lowing results in the talk:\n1) Marton inner bound for the classical-quant
 um broadcast channel (joint work with Jaikumar Radhakrishnan and Pranab Se
 n)\n2) Coding for classical-quantum channel with rate limited side informa
 tion at the encoder (joint work with Justin Coon)\n
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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