English

Complementarity and the algebraic structure of 4-level quantum systems

Mathematical Physics 2009-11-13 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0802.2391,
  title  = {Complementarity and the algebraic structure of 4-level quantum systems},
  author = {D. Petz and A. Szanto and M. Weiner},
  journal= {arXiv preprint arXiv:0802.2391},
  year   = {2009}
}

Comments

19 pages

R2 v1 2026-06-21T10:13:18.426Z