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Chinese Physics

Density matrix of two interacting particles with kinetic coupling derived in bipartite entangled state representation

Qin Guo

Published Sep 1, 2007• 3 citations
Publisher

Abstract

A density matrix is usually obtained by solving the Bloch equation, however only a few Hamiltonians' density matrices can be analytically derived. The density matrix for two interacting particles with kinetic coupling is hard to derive by the usual method due to this coupling; this paper solves this problem by using the bipartite entangled state representation.

DOI
10.1088/1009-1963/16/9/008

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A density matrix is usually obtained by solving the Bloch equation, however only a few Hamiltonians' density matrices can be analytically derived. The density matrix for two interacting particles with kinetic coupling is hard to derive by the usual method due to this coupling; this paper solves this problem by using the bipartite entangled state representation.
On fully entangled fraction of arbitrary d⊗dd\otimes dd⊗d quantum states
We study the fully entangled fraction of quantum states based on the Bloch representation of density matrices. Analytical upper bounds on the fully entangled fraction are obtained for arbitrary d⊗dd\otimes dd⊗d bipartite systems. The fully entangled fractions for classes of d⊗dd\otimes dd⊗d quantum states are analytically derived. Detailed examples are given to illustrate the advantages of our results.