Physics – Quantum Physics
Scientific paper
2003-11-09
Int. Journal of Quantum Information 1, 465 (2003)
Physics
Quantum Physics
13 pages, for the Proceedings of QIT-EQIS'03
Scientific paper
This article reviews and extends recent results concerning entanglement and frustration in multipartite systems which have some symmetry with respect to the ordering of the particles. Starting point of the discussion are Bell inequalities: their relation to frustration in classical systems and their satisfaction for quantum states which have a symmetric extension. It is then discussed how more general global symmetries of multipartite systems constrain the entanglement between two neighboring particles. We prove that maximal entanglement (measured in terms of the entanglement of formation) is always attained for the ground state of a certain nearest neighbor interaction Hamiltonian having the considered symmetry with the achievable amount of entanglement being a function of the ground state energy. Systems of Gaussian states, i.e. quantum harmonic oscillators, are investigated in more detail and the results are compared to what is known about ordered qubit systems.
Cirac Juan Ignacio
Verstraete Frank
Wolf Manfred
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