# Qubit state discrimination

## Abstract

We show how one can solve the problem of discriminating between qubit states. We use the quantum state discrimination duality theorem and the Bloch sphere representation of qubits, which allows for an easy geometric and analytical representation of the optimal guessing strategies.

- Authors:

- Telecom ParisTech, 37/39 rue Dareau, F-75014 Paris (France)
- IBM Watson Research Center, Post Office Box 218, Yorktown Heights, New York 10598 (United States)

- Publication Date:

- OSTI Identifier:
- 21413190

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.062304; (c) 2010 The American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLOCH THEORY; DUALITY; GEOMETRY; QUBITS; INFORMATION; MATHEMATICS; QUANTUM INFORMATION

### Citation Formats

```
Deconinck, Matthieu E., and Terhal, Barbara M.
```*Qubit state discrimination*. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVA.81.062304.

```
Deconinck, Matthieu E., & Terhal, Barbara M.
```*Qubit state discrimination*. United States. doi:10.1103/PHYSREVA.81.062304.

```
Deconinck, Matthieu E., and Terhal, Barbara M. Tue .
"Qubit state discrimination". United States.
doi:10.1103/PHYSREVA.81.062304.
```

```
@article{osti_21413190,
```

title = {Qubit state discrimination},

author = {Deconinck, Matthieu E. and Terhal, Barbara M.},

abstractNote = {We show how one can solve the problem of discriminating between qubit states. We use the quantum state discrimination duality theorem and the Bloch sphere representation of qubits, which allows for an easy geometric and analytical representation of the optimal guessing strategies.},

doi = {10.1103/PHYSREVA.81.062304},

journal = {Physical Review. A},

number = 6,

volume = 81,

place = {United States},

year = {Tue Jun 15 00:00:00 EDT 2010},

month = {Tue Jun 15 00:00:00 EDT 2010}

}

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