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理论物理通讯：英文版

Quantum Dynamics of Bound Entangled States

Zhu Guo

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

By using the partial transpose and realignment method,we study the time evolution of the bound entan- glement under the bilinear-biquadratic Hamiltonian.For the initial Horodeeki's bound entangled state,it keeps bound entangled for some time,while for the initial bound entangled states constructed from the unextendable product basis, they become free once the time evolution begins.The time evolution provides a new way to construct bound entangled states,and also gives a method to free bound entanglement.

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By using the partial transpose and realignment method,we study the time evolution of the bound entan- glement under the bilinear-biquadratic Hamiltonian.For the initial Horodeeki's bound entangled state,it keeps bound entangled for some time,while for the initial bound entangled states constructed from the unextendable product basis, they become free once the time evolution begins.The time evolution provides a new way to construct bound entangled states,and also gives a method to free bound entanglement.
By using the partial transpose and realignment method,we study the time evolution of the bound entanglement under the bilinear-biquadratic Hamiltonian. For the initial Horodecki's bound entangled state, it keeps bound entangled for some time, while for the initial bound entangled states constructed from the unextendable product basis, they become free once the time evolution begins. The time evolution provides a new way to construct bound entangled states, and also gives a method to free bound entanglement.
By using the partial transpose and realignment method, we study the time evolution of the bound entanglement under the bilinear-biquadratic Hamiltonian. For the initial Horodecki's bound entangled state, it keeps bound entangled for some time, while for the initial bound entangled states constructed from the unextendable product basis, they become free once the time evolution begins. The time evolution provides a new way to construct bound entangled states, and also gives a method to free bound entanglement.
On the basis of the full analytical solution of the overall unitary dynamics, the time evolution of entanglement is studied in a simple bipartite model system evolving unitarily from a pure initial state. The system consists of two particles in one spacial dimension bound by harmonic forces and having its free center of mass initially localized in space in a minimum uncertainty wave packet. The existence of such initial states in which the bound particles are not entangled is pointed out. The entanglement of the two particles is shown to be independent of the wavepacket mean momentum, and to increase monotonically in a time scale distinct from that of the spreading of the center of mass wavepacket.
The effect of stochastic dephasing on the dynamics of entanglement of qutrit-qutrit states is investigated by using negativity and bound entanglement defined with realignment criterion. From the analysis, we find that the time evolution of quantum free entanglement and bound entanglement depends on the fluctuations of the stochastic variables and the parameters of the particular initial states of concern. Our results imply that some qutrits states display both distillability sudden death and entanglement sudden death, while some states do not display distillability sudden death but only entanglement sudden death.