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SUMMARY:Optimal probabilistic storage and retrieval of unitary channels - 
 Michal Sedlák\, Slovak Academy of Sciences
DTSTART:20191010T131500Z
DTEND:20191010T141500Z
UID:TALK131218@talks.cam.ac.uk
CONTACT:Sergii Strelchuk
DESCRIPTION:We address the question of a quantum memory storage of quantum
  dynamics. In particular\, we design an optimal protocol for N→1 probabi
 listic storage-and-retrieval of unitary channels on d-dimensional quantum 
 systems. If we may access the unknown unitary gate only N-times\, we show 
 that the optimal success probability of perfect retrieval of its single us
 e is N/(N−1+d^2). The derived size of the memory system exponentially im
 proves the known upper bound on the size of the program register needed fo
 r probabilistic programmable quantum processors. Our results are closely r
 elated to probabilistic perfect alignment of reference frames and probabil
 istic port-based teleportation.
LOCATION:MR15\, Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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