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SUMMARY:Optimal quantum measurements and applications in cryptographic tas
 ks - Sarah Croke (University of Glasgow) 
DTSTART:20200213T110000Z
DTEND:20200213T120000Z
UID:TALK139726@talks.cam.ac.uk
CONTACT:Adrian Kent
DESCRIPTION:The security of any quantum cryptographic protocol is intimate
 ly\nrelated to the notion of measurable quantities in quantum mechanics. A
 s a\nwell-known example\, in quantum key distribution by encoding informat
 ion in one\nof two incompatible bases\, the legitimate sender and receiver
  can ensure that\nany eavesdropper must both make errors\, and disturb the
  signal\, and thus can be\ndetected. Full security proofs usually rely on 
 arguments which bound the\ninformation that can be available to an eavesdr
 opper\, assuming that the\neavesdropper holds the purification of Alice an
 d Bob's joint state.\nNevertheless\, for many protocols of interest we can
  gain insight by explicitly\nconstructing optimal measurements for extract
 ing information\, either in the\nsingle copy or many copy case. In this ta
 lk I'll give an overview of optimal\nmeasurement strategies\, in particula
 r cases in which analytical solutions are\npossible\, and mention applicat
 ions to relativistic cryptographic protocols.
LOCATION:MR21\, Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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