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SUMMARY:Port-based teleportation performance for teleporting large quantum
  systems - Michal Studzinski\, The University of Gdansk
DTSTART:20211014T133000Z
DTEND:20211014T143000Z
UID:TALK164041@talks.cam.ac.uk
CONTACT:Damian Pitalua-Garcia
DESCRIPTION:The family of port-based teleportation (PBT) protocols allows 
 for transmission of an unknown quantum state without the necessity of corr
 ection on the receiver's side and has found a lot of important application
 s in quantum information theory - in both\, theoretical and practical aspe
 cts. In this talk\, we summarise shortly the state of the art on the PBT. 
 Next\, we move to the new question of how well PBT and its variants can he
 lp in transmitting quantum systems of a large dimension or composite ones.
  We show that by allowing for a gentle modification of PBT\, which is a pe
 rmutation of the ports we can outperform existing variants of PBT in trans
 mitting a large amount of quantum information. This property shows a new p
 ossible direction of research which is the trade-off between the performan
 ce of a given teleportation protocol and allowed correction on the receive
 r's side.  In particular\, we identify non-linear rates of transmission wi
 th the number of shared qubits and critical exponents giving us some kind 
 of 'phase transition' between effective and non-effective PBT protocols. F
 rom the mathematical side of the problem\, we show how our approach connec
 ts with the representation theory of symmetric group distorted by partial 
 transposition.
LOCATION:MR19 (Potter Room\, Pavilion B)\, CMS
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