Complementarity and the algebraic structure of 4-level quantum systems

Physics – Mathematical Physics

Scientific paper

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19 pages

Scientific paper

10.1088/1742-6596/143/1/012011

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.

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