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CATEGORIES:CQIF Seminar
SUMMARY:Probabilistic theories with purification - Giulio
Chiribella (Perimeter Institute)
DTSTART;TZID=Europe/London:20100304T141500
DTEND;TZID=Europe/London:20100304T151500
UID:TALK23399AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/23399
DESCRIPTION:In this talk I will report on a recent work [arXiv
:0908.1583] investigating general probabilistic th
eories where every mixed state has a purification\
, unique up to reversible channels on the purifyin
g system. The purification principle is equivalent
to the existence of a reversible realization for
every physical process\, namely that to the fact t
hat every physical process can be regarded as aris
ing from the reversible interaction of the input s
ystem with an environment that is eventually disca
rded. From the purification principle one can also
construct an isomorphism between transformations
and bipartite states that possesses all structural
properties of the Choi-Jamiolkowski isomorphism i
n Quantum Mechanics. Such an isomorphism allows on
e to prove most of the basic features of Quantum I
nformation Processing\, like e.g. no information w
ithout disturbance\, no joint discrimination of al
l pure states\, no cloning\, teleportation\, compl
ementarity between correctable and deletion channe
ls\, no programming\, and no bit commitment\, with
out resorting to the mathematical framework of Hil
bert spaces.
LOCATION:MR15\, Centre for Mathematical Sciences
CONTACT:Jonathan
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