Dear quanta,
This week (i.e. starting now) Felix Leditzky from UC Boulder is visiting
us. He will be in 6-402. I've cc'ed him so feel free to get in touch if
you want to meet him. Here is his webpage:
http://jila.colorado.edu/~fele9729/academic.html
He is speaking on Friday at 1:30pm, details below.
Title: Asymptotic performance of port-based teleportation
Abstract:
Port-based teleportation (PBT) is a variant of the well-known task of
quantum teleportation in which Alice and Bob share multiple entangled
states called "ports". While in the standard teleportation protocol using a
single entangled state the receiver Bob has to apply a non-trivial
correction unitary, in PBT he merely has to pick up the right quantum
system at a port specified by the classical message he received from Alice.
PBT has applications in instantaneous non-local computation and can be used
to attack position-based quantum cryptography. Since perfect PBT protocols
are impossible, there is a trade-off between error and entanglement
consumption (or the number of ports), which can be analyzed using
representation theory of the symmetric and unitary groups. In particular,
without loss of generality the resource state can be assumed to have a
“purified" Schur-Weyl duality symmetry. I will give an introduction to the
task of PBT and its symmetries, and show how the asymptotics of existing
formulas for the optimal performance for a large number of ports can be
derived using a connection between representation theory and the Gaussian
unitary ensemble.
Joint work with M. Christandl, C. Majenz, G. Smith, F. Speelman & M. Walter.
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