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BEGIN:VEVENT
DTSTAMP:20260625T032051Z
DTSTART;VALUE=DATE-TIME:20171116T130000
DTEND;VALUE=DATE-TIME:20171116T140000
SUMMARY:Theory Seminar: Sergii Strelchuk (Cambridge)\, Optimal Port-based
  Teleportation in Arbitrary Dimension\, 1300 in PS1.28
TZID:Europe/London
UID:20171116-8a17841a5f2ace02015f5803f04814c5@warwick.ac.uk
CREATED:20171026T092933Z
DESCRIPTION:Quantum teleportation is one of the earliest and most widely 
 used primitives in Quantum Information Science which performs an arbitra
 ry quantum state transfer between two spatially separated systems. It in
 volves pre-sharing an entangled resource state and consists of three sim
 ple stages. The first stage involves a joint measurement of the teleport
 ed subsystem together with the share of the resource state on the sender
 ’s side. In the second step\, a classical measurement outcome is communi
 cated to the receiver. The last step consists of applying a requisite co
 rrection operation which recovers the transmitted quantum state. Port-ba
 sed teleportation (PBT) is a unique set of teleportation protocols in th
 at they do not require unitary correction. We study PBT protocols and fu
 lly characterize their performance for an arbitrary dimensions and numbe
 r of ports. We find optimal probability of success and the fidelity of t
 eleportation for all probabilistic and deterministic PBT schemes. In the
  latter case\, surprisingly\, the answer depends only on a largest eigen
 value of a certain easy to construct matrix which encodes the relationsh
 ip between a set of Young diagrams and emerges as the the optimal soluti
 on to the relevant semidefinite program. To derive our results\, we deve
 lop new mathematical tools to study the symmetries of the operators that
  arise in PBT protocols and belong to the algebra of partially transpose
 d permutation operators. These tools can be used to characterize quantum
  systems with partial symmetries. Quantum states occurring in the PBT pr
 otocol are one such example. Systems with partial symmetries are widespr
 ead but in contrast to their permutational-invariant counterparts very l
 ittle is known about how to efficiently estimate their properties.
LOCATION:PS1.28
URL:http://www.qi.damtp.cam.ac.uk/node/72
ATTACH:http://www.qi.damtp.cam.ac.uk/node/72
CATEGORIES:Theory Seminar
LAST-MODIFIED:20171112T001758Z
ORGANIZER;CN=Gareth Alexander:
END:VEVENT
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