Complementarity in quantum systems
نویسندگان
چکیده
منابع مشابه
Complementarity in Quantum Systems
Reduction of a state of a quantum system to a subsystem gives partial quantum information about the true state of the total system. Two subalgebras A1 and A2 of B(H) are called complementary if the traceless subspaces of A1 and A2 are orthogonal (with respect to the Hilbert-Schmidt inner product). When both subalgebras are maximal Abelian, then the concept reduces to complementary observables o...
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We relate notions of complementarity in three layers of quantum mechanics: (i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices. Taking a more general categorical perspective of which the above are instances, we consider dagger monoidal kernel categories for (ii), so that (i) become (sub)endohomsets and (iii) become subobject lattices. By developing a ‘point-free’ defi...
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Viv Kendon 2, ∗ and Barry C. Sanders 4 QOLS, Optics Section, Blackett Laboratory, Imperial College, London, SW7 2BW, United Kingdom. School of Physics and Astronomy, University of Leeds, Leeds, LS2 9JT, United Kingdom. Institute for Quantum Information Science, University of Calgary, Alberta T2N 1N4, Canada Centre for Quantum Computer Technology, Macquarie University, Sydney, New South Wales 21...
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The history of complementary observables and mutual unbiased bases is reviewed. A characterization is given in terms of conditional entropy of subalgebras. The concept of complementarity is extended to non-commutative subalgebras. Complementary decompositions of a 4-level quantum system are described and a characterization of the Bell basis is obtained. 2000 Mathematics Subject Classification. ...
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Complementarity is a very old concept in quantum mechanics, however the rigorous de nition is not so old. Complementarity of orthogonal bases can be formulated in terms of maximal Abelian algebras and this may lead to avoid commutativity of the subalgebras. In some sense this means that quantum information is treated instead of classical (measurement) information. The subject is to extend to th...
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 2007
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(07)00010-9