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SUMMARY:Random purification channel and random Stinespring superchannel - 
 Filippo Girardi\, Pisa
DTSTART:20260226T141500Z
DTEND:20260226T153000Z
UID:TALK244882@talks.cam.ac.uk
CONTACT:Alex Turzillo
DESCRIPTION:The recently introduced random purification channel\, which co
 nverts 𝑛 copies of an arbitrary mixed quantum state into 𝑛 copies of
  the same uniformly random purification\, has emerged as a powerful tool i
 n quantum information theory. We give a remarkably simple construction of 
 this channel\, making its known properties — and several new ones — im
 mediately transparent. We also introduce a channel-level analogue\, which 
 we call the random Stinespring superchannel. This consists in a procedure 
 to transform 𝑛 parallel queries of an arbitrary quantum channel into 
 𝑛 parallel queries of the same uniformly random Stinespring isometry\, 
 via universal encoding and decoding operations that are efficiently implem
 entable. Throughout the presentation\, we are going to discuss some surpri
 sing applications in quantum learning theory and quantum Shannon theory.
LOCATION:Center for Mathematical Sciences\, MR2
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