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SUMMARY:The classical analogue of quantum mechanics - Maris Ozols (Univers
 ity of Cambridge)
DTSTART:20140116T141500Z
DTEND:20140116T151500Z
UID:TALK50119@talks.cam.ac.uk
CONTACT:William Matthews
DESCRIPTION:Richard Feynman is known for his quote _"I think I can safely 
 say that nobody understands quantum mechanics."_ In this talk I will estab
 lish a weaker result\, namely _"to fully understand something quantum\, on
 e has to at least know what the classical equivalent of it is."_\n\nAs obs
 erved by Bell in 1964\, quantum mechanics is not compatible with certain c
 lassical theories. Nevertheless\, classical theories\, such as Spekkens to
 y theory\, can exhibit many quantum-like features. In fact\, Collins and P
 opescu have found a strong analogy between quantum entanglement and secret
  classical correlations (for example\, teleportation corresponds to one-ti
 me pad in their framework). I will extend their framework by describing a 
 classical analogue of mixed quantum states. This leads to even more striki
 ng classical analogues of quantum phenomena\, such as bound entanglement a
 nd superactivation of quantum capacity. To illustrate the usefulness of th
 is unusual classical theory\, I will explain a new construction of bound e
 ntangled states with smaller dimension (3 x 3) and higher amount of secret
  key\, and show that local noise can increase privacy in classical secret 
 key distillation protocols.\n\nThis talk is based on a joint work ("arXiv:
 1305.0848":http://arxiv.org/abs/1305.0848) with Graeme Smith and John Smol
 in from IBM.
LOCATION:MR5\,  Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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