### Abstract

This paper is an overview of the concept of complementarity, the relation to state estimation, to Connes-Størmer conditional (or relative) entropy to uncertainty relation. Complementary Abelian and noncommutative subalgebras are analyzed. All the known results about complementary decompositions are described and several open questions are included. The paper contains only few proofs, typically references are given.

Original language | English |
---|---|

Article number | 009091JMP |

Journal | Journal of Mathematical Physics |

Volume | 51 |

Issue number | 1 |

DOIs | |

Publication status | Published - jan. 2010 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*51*(1), [009091JMP]. https://doi.org/10.1063/1.3276681

**Algebraic complementarity in quantum theory.** / Petz, D.

Research output: Article

*Journal of Mathematical Physics*, vol. 51, no. 1, 009091JMP. https://doi.org/10.1063/1.3276681

}

TY - JOUR

T1 - Algebraic complementarity in quantum theory

AU - Petz, D.

PY - 2010/1

Y1 - 2010/1

N2 - This paper is an overview of the concept of complementarity, the relation to state estimation, to Connes-Størmer conditional (or relative) entropy to uncertainty relation. Complementary Abelian and noncommutative subalgebras are analyzed. All the known results about complementary decompositions are described and several open questions are included. The paper contains only few proofs, typically references are given.

AB - This paper is an overview of the concept of complementarity, the relation to state estimation, to Connes-Størmer conditional (or relative) entropy to uncertainty relation. Complementary Abelian and noncommutative subalgebras are analyzed. All the known results about complementary decompositions are described and several open questions are included. The paper contains only few proofs, typically references are given.

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U2 - 10.1063/1.3276681

DO - 10.1063/1.3276681

M3 - Article

AN - SCOPUS:77953269103

VL - 51

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

M1 - 009091JMP

ER -