# Canonical coset parametrization and the Bures metric of the three-level quantum systems

## Abstract

An explicit parametrization for the state space of an n-level density matrix is given. The parametrization is based on the canonical coset decomposition of unitary matrices. We also compute, explicitly, the Bures metric tensor over the state space of two- and three-level quantum systems.

- Authors:

- Department of Physics, University of Isfahan, Isfahan, 73441 (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 20929605

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 1; Other Information: DOI: 10.1063/1.2405401; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; ENERGY-LEVEL DENSITY; MATHEMATICAL SPACE; MATRICES; METRICS; QUANTUM MECHANICS; TENSORS

### Citation Formats

```
Akhtarshenas, S. J..
```*Canonical coset parametrization and the Bures metric of the three-level quantum systems*. United States: N. p., 2007.
Web. doi:10.1063/1.2405401.

```
Akhtarshenas, S. J..
```*Canonical coset parametrization and the Bures metric of the three-level quantum systems*. United States. doi:10.1063/1.2405401.

```
Akhtarshenas, S. J.. Mon .
"Canonical coset parametrization and the Bures metric of the three-level quantum systems". United States.
doi:10.1063/1.2405401.
```

```
@article{osti_20929605,
```

title = {Canonical coset parametrization and the Bures metric of the three-level quantum systems},

author = {Akhtarshenas, S. J.},

abstractNote = {An explicit parametrization for the state space of an n-level density matrix is given. The parametrization is based on the canonical coset decomposition of unitary matrices. We also compute, explicitly, the Bures metric tensor over the state space of two- and three-level quantum systems.},

doi = {10.1063/1.2405401},

journal = {Journal of Mathematical Physics},

number = 1,

volume = 48,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

DOI: 10.1063/1.2405401

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