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CATEGORIES:CQIF Seminar
SUMMARY:The classical analogue of quantum mechanics - Mari
s Ozols (University of Cambridge)
DTSTART;TZID=Europe/London:20140116T141500
DTEND;TZID=Europe/London:20140116T151500
UID:TALK50119AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/50119
DESCRIPTION:Richard Feynman is known for his quote _"I think I
can safely say that nobody understands quantum me
chanics."_ In this talk I will establish a weaker
result\, namely _"to fully understand something qu
antum\, one has to at least know what the classica
l equivalent of it is."_\n\nAs observed by Bell in
1964\, quantum mechanics is not compatible with c
ertain classical theories. Nevertheless\, classica
l theories\, such as Spekkens toy theory\, can exh
ibit many quantum-like features. In fact\, Collins
and Popescu have found a strong analogy between q
uantum entanglement and secret classical correlati
ons (for example\, teleportation corresponds to on
e-time pad in their framework). I will extend thei
r framework by describing a classical analogue of
mixed quantum states. This leads to even more stri
king classical analogues of quantum phenomena\, su
ch as bound entanglement and superactivation of qu
antum capacity. To illustrate the usefulness of th
is unusual classical theory\, I will explain a new
construction of bound entangled states with small
er dimension (3 x 3) and higher amount of secret k
ey\, and show that local noise can increase privac
y 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 Smolin from IBM.
LOCATION:MR5\, Centre for Mathematical Sciences\, Wilberfo
rce Road\, Cambridge
CONTACT:William Matthews
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