### Abstract

We consider one-particle spin states. We show that all the information contained in the state can be written in an equivalent form using three completely decohered mixed states. The density matrix of such a system has the form of tensor product of three diagonal matrices. The unitary operators defined in the space of one-particle spin states are represented by some transformation of tensor products of diagonal matrices. We determine the explicit form of the unitary transformations acting on the representing three-qubit system and corresponding basic operators acting in the space of the initial qubit states.

Original language | English |
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Article number | 014001 |

Journal | Physica Scripta |

Volume | 87 |

Issue number | T153 |

DOIs | |

Publication status | Published - Mar 1 2013 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Mathematical Physics
- Condensed Matter Physics

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## Cite this

*Physica Scripta*,

*87*(T153), [014001]. https://doi.org/10.1088/0031-8949/2013/T153/014001