Dodin D.V. On analytical description of the local equivalent states of double-qubit quantum system

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Dodin Dmitri Valerievich

Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Theoretical Physics and Wave Phenomena, Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. The double-qubit quantum system is considered. The original parameterization based on vector presentation of state are proposed. We consider the states of quantum system which are equivalent to local unitary transformation. The analytical description of manifold of these states are constructed. The general case of mix state are investigated. The questions of relationship this manifold with propertiesand measure of entanglement are discussed.

Key words: quantum entanglement, composite quantum systems, qubit, quantum register, factor group.

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On analytical description of the local equivalent states of double-qubit quantum system by Dodin D.V. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №1 (14) 2011 pp. 156-161

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