# Three Ways to Look at Mutually Unbiased Bases

## Abstract

This is a review of the problem of Mutually Unbiased Bases in finite dimensional Hilbert spaces, real and complex. Also a geometric measure of ''mubness'' is introduced, and applied to some explicit calculations in six dimensions (partly done by Bjoerck and by Grassl). Although this does not yet solve any problem, some appealing structures emerge.

- Authors:

- Fysikum, Stockholm University, 106 91 Stockholm (Sweden)

- Publication Date:

- OSTI Identifier:
- 21054919

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 889; Journal Issue: 1; Conference: 4. international conference on foundations of probability and physics, Vaexjoe (Sweden), 4-9 Jun 2006; Other Information: DOI: 10.1063/1.2713445; (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; GEOMETRY; HILBERT SPACE; MANY-DIMENSIONAL CALCULATIONS; QUANTUM MECHANICS; REVIEWS

### Citation Formats

```
Bengtsson, Ingemar.
```*Three Ways to Look at Mutually Unbiased Bases*. United States: N. p., 2007.
Web. doi:10.1063/1.2713445.

```
Bengtsson, Ingemar.
```*Three Ways to Look at Mutually Unbiased Bases*. United States. doi:10.1063/1.2713445.

```
Bengtsson, Ingemar. Wed .
"Three Ways to Look at Mutually Unbiased Bases". United States.
doi:10.1063/1.2713445.
```

```
@article{osti_21054919,
```

title = {Three Ways to Look at Mutually Unbiased Bases},

author = {Bengtsson, Ingemar},

abstractNote = {This is a review of the problem of Mutually Unbiased Bases in finite dimensional Hilbert spaces, real and complex. Also a geometric measure of ''mubness'' is introduced, and applied to some explicit calculations in six dimensions (partly done by Bjoerck and by Grassl). Although this does not yet solve any problem, some appealing structures emerge.},

doi = {10.1063/1.2713445},

journal = {AIP Conference Proceedings},

number = 1,

volume = 889,

place = {United States},

year = {Wed Feb 21 00:00:00 EST 2007},

month = {Wed Feb 21 00:00:00 EST 2007}

}

DOI: 10.1063/1.2713445

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