# Nonclassicality in the statistics of noncommuting observables: Nonclassical states are more compatible than classical states

## Abstract

We study nonclassicality in the product of the probabilities of noncommuting observables. We show that within the quantum theory, nonclassical states can provide larger probability product than classical states, so that nonclassical states approach the nonfluctuating states of the classical theory more closely than classical states. This is particularized to relevant complementary observables such as conjugate quadratures, phase and number, quadrature and number, and orthogonal angular momentum components.

- Authors:

- Departamento de Optica, Facultad de Ciencias Fisicas, Universidad Complutense, E-28040 Madrid (Spain)

- Publication Date:

- OSTI Identifier:
- 22038589

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. A

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; COMMUTATION RELATIONS; COMMUTATORS; QUADRATURES; STATISTICS

### Citation Formats

```
Luis, Alfredo.
```*Nonclassicality in the statistics of noncommuting observables: Nonclassical states are more compatible than classical states*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.012106.

```
Luis, Alfredo.
```*Nonclassicality in the statistics of noncommuting observables: Nonclassical states are more compatible than classical states*. United States. doi:10.1103/PHYSREVA.84.012106.

```
Luis, Alfredo. Fri .
"Nonclassicality in the statistics of noncommuting observables: Nonclassical states are more compatible than classical states". United States. doi:10.1103/PHYSREVA.84.012106.
```

```
@article{osti_22038589,
```

title = {Nonclassicality in the statistics of noncommuting observables: Nonclassical states are more compatible than classical states},

author = {Luis, Alfredo},

abstractNote = {We study nonclassicality in the product of the probabilities of noncommuting observables. We show that within the quantum theory, nonclassical states can provide larger probability product than classical states, so that nonclassical states approach the nonfluctuating states of the classical theory more closely than classical states. This is particularized to relevant complementary observables such as conjugate quadratures, phase and number, quadrature and number, and orthogonal angular momentum components.},

doi = {10.1103/PHYSREVA.84.012106},

journal = {Physical Review. A},

issn = {1050-2947},

number = 1,

volume = 84,

place = {United States},

year = {2011},

month = {7}

}

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