Decompositions of unitary evolutions and entanglement dynamics of bipartite quantum systems

Abstract

We describe a decomposition of the Lie group of unitary evolutions for a bipartite quantum system of arbitrary dimensions. The decomposition is based on a recursive procedure which systematically uses the Cartan classification of the symmetric spaces of the Lie group SO(n). The resulting factorization of unitary evolutions clearly displays the local and entangling character of each factor.

11 pages, revtex4

References in corpus (3)

• A geometric theory of non-local two-qubit operations
• Constructive control of quantum systems using factorization of unitary operators
• Canonical Decompositions of n-qubit Quantum Computations and Concurrence

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• Decomposition of orthogonal matrix and synthesis of two-qubit and three-qubit orthogonal gates
• Bipartite entanglement and control in multiqubit systems