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SUMMARY:Identification: Variations on a Classic Theme in Quantum Informati
 on - Pau Colomer and Johannes Rosenberger
DTSTART:20251113T141500Z
DTEND:20251113T153000Z
UID:TALK240742@talks.cam.ac.uk
CONTACT:Alex Turzillo
DESCRIPTION:Identification of messages via channels is a classic communica
 tion problem that behaves very differently from the more usual message tra
 nsmission. In transmission\, the receiver estimates exactly which message 
 the sender selected\, whereas in identification\, the receiver also select
 s a message and tests between the hypotheses that the sender selected the 
 same message or any other. These two models can be considered as extremes 
 on an axis of communication problems\, with many scenarios behaving like h
 ybrids of the two\, in which the receiver needs to distinguish some—but 
 not all—messages at the same time.\n\nWhile the size of a transmission c
 ode is exponential in the codeword length\, identification codes can scale
  faster: depending on the available resources\, code sizes can evenbe doub
 ly exponential. Extensions of this model exist for messages that are pure 
 quantum states\, and phenomena such as superactivation has been observed e
 ven in the purely classical domain.\n\nThe talk will give an overview of t
 he most important variations of the model and corresponding results. It wi
 ll focus on the available resources and coding constraints\, and on the re
 sulting code scalings and rates across the spectrum from the classical to 
 the purely quantum domain.
LOCATION:Center for Mathematical Sciences\, MR2
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