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UID:www.tcs.tifr.res.in/event/801
DTSTAMP:20230914T125938Z
SUMMARY:Quantum Communication Using Coherent Rejection Sampling
DESCRIPTION:Speaker: Rahul Jain (National University of Singapore\nDepartme
 nt of Computer Science\nS15-04-01\, 3 Science Drive 2\nSingapore 117543)\n
 \nAbstract: \nCompression of a message up to the information it carries is
  key to many tasks involved in classical and quantum information theory. S
 chumacher provided one of the first quantum compression schemes and severa
 l more general schemes have been developed ever since. However\, the one-s
 hot characterization of these quantum tasks is still under development\, a
 nd often lacks a direct connection with analogous classical tasks. Here we
  show a new technique for the compression of quantum messages with the aid
  of entanglement. We devise a new tool that we call the convex split lemma
 \, which is a coherent quantum analogue of the widely used rejection sampl
 ing procedure in classical communication protocols. As a consequence\, we 
 exhibit new explicit protocols with tight communication cost for quantum s
 tate merging\, quantum state splitting. We also present a port-based telep
 ortation scheme which uses less number of ports in presence of information
  about input.\n\nVery recently our framework has found applications in sev
 eral important settings in quantum network theory\, such as a quantum vers
 ion of the Gel’fand-Pinsker channel\; the quantum broadcast channel and 
 to obtain a new achievability bound on quantum state redistribution\, in t
 erms of smooth-max information and hypothesis testing relative entropy. Co
 nvex-split lemma has also found applications in the context of catalytic d
 ecoupling\; privacy in quantum communication (the wiretap channel)\; a gen
 eralized quantum Slepian-Wolf result \; a bound for the important and cons
 equential task of measurement compression using classical shared randomnes
 s and to obtain optimal bounds on the classical capacity of entanglement-a
 ssisted compound channels.\n\nGiven the broad applicability of the convex-
 split technique as exhibited in these recent works\, we expect more applic
 ations in quantum network theory in the future.\n\nPaper at : http://www.
 comp.nus.edu.sg/~rahul/allfiles/Coherent_rejection_sampling.pdf\n\n \n
URL:https://www.tcs.tifr.res.in/web/events/801
DTSTART;TZID=Asia/Kolkata:20170814T160000
DTEND;TZID=Asia/Kolkata:20170814T170000
LOCATION:A-201 (STCS Seminar Room)
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