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CATEGORIES:Theoretical computer science seminar
SUMMARY:Strong Complementarity in Quantum Computing - Ross
Duncan (University of Strathclyde)
DTSTART:20150918T130000Z
DTEND:20150918T140000Z
UID:TALK1825AT
URL:/talk/index/1825
DESCRIPTION:Loosely speaking\, a pair of quantum observables i
s called “complementary" when knowledge of one imp
lies ignorance of the other. Complementarity is r
esponsible for much of the “weirdness” in quantum
theory. The classic example is position and moment
um\, however finite dimensional examples such as t
he Z and X spins are used throughout quantum infor
mation processing.\n\nThanks to a theorem of Coeck
e\, Pavlovic and Vicary\, quantum observables can
be identified with certain Frobenius algebras\; fr
om this perspective complementary observables are
those whose algebras satisfy some additional equat
ions. For *strongly* complementary observables th
ese equations have a succinct form: the Frobenius
algebras jointly form a Hopf algebra. This purel
y algebraic characterisation belies their power:
strongly complementary observables can be used for
many purposes in quantum information processing\,
and as I will show\, strong complementarity is at
the heart of quantum non-locality.\n
LOCATION:CS 245
CONTACT:Neel Krishnaswami
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