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SUMMARY:Absolutely Maximally Entangled States In Quantum Error Correction 
 and Holography - Pawel Mazurek\, University of Gdansk
DTSTART:20170518T131500Z
DTEND:20170518T141500Z
UID:TALK72312@talks.cam.ac.uk
CONTACT:Steve Brierley
DESCRIPTION:Absolutely Maximally Entangled (AME) states of N quantum syste
 ms of dimension d are defined as states that are maximally entangled acros
 s an arbitrary non-trivial division into two subsystems\, or\, equivalentl
 y\, as states whose reduction to an arbitrary subsystem composed of number
  of particles not higher than N/2 is maximally mixed. AME sates are a nece
 ssary resource in perfect multi-party teleportation and quantum secret sha
 ring\, and remain in close relation with many classical and quantum error 
 correction codes. They can be used as a building block in constructing net
 works exhibiting holographic properties\, and\, as such\, serve as a discr
 ete toy model for quantum gravity. This talk will be devoted to establishi
 ng a precise connection between an arbitrary AME stabilizer state and quan
 tum error correction codes emerging from it\, as well as providing a descr
 iption of constructing holographic AME-based networks. 
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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