We first study the reversibility for a class of states under the operations which completely preserve the positivity of partial transpose（PPT） and show that the entanglement cost is equal to the distillable entangle...We first study the reversibility for a class of states under the operations which completely preserve the positivity of partial transpose（PPT） and show that the entanglement cost is equal to the distillable entanglement for a rank-two mixed state on the 4 4 antisymmetric subspace under PPT operations. By using a similar method in finding the irreversibility,we also find that the value of a new efficiently computable additive lower bound Eη（ρ） for the asymptotic PPT-relative entropy of entanglement presented in [Phys. Rev. Lett. 119, 180506（2017）] is equal to the regularized Rains＇ bound and an upper bound EN（ρ） for distillable entanglement for these states. Furthermore, we find states on the symmetric subspace satisfying the relation mentioned above, generalize the antisymmetric states and symmetric states in higher dimensions, and give a specific value for distillable entanglement and entanglement cost for these states under the PPT operations.展开更多
The dynamics of distillability entanglement between qutrit-qutrit systems interacting with a thermal reservoir is investigated in this paper. We discovered an interesting phenomenon that under a thermal reservoir cert...The dynamics of distillability entanglement between qutrit-qutrit systems interacting with a thermal reservoir is investigated in this paper. We discovered an interesting phenomenon that under a thermal reservoir certain initially prepared free=entangled states become bound-entangled states in a finite time, which is called distillability sudden death （DSD）. We use a realignment criterion to measure the nine-dimensional density matrix of the entanglement. Moreover, we analyze some other parameters to investigate the effects to the systems. Explanations are then given.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11671244)
文摘We first study the reversibility for a class of states under the operations which completely preserve the positivity of partial transpose（PPT） and show that the entanglement cost is equal to the distillable entanglement for a rank-two mixed state on the 4 4 antisymmetric subspace under PPT operations. By using a similar method in finding the irreversibility,we also find that the value of a new efficiently computable additive lower bound Eη（ρ） for the asymptotic PPT-relative entropy of entanglement presented in [Phys. Rev. Lett. 119, 180506（2017）] is equal to the regularized Rains＇ bound and an upper bound EN（ρ） for distillable entanglement for these states. Furthermore, we find states on the symmetric subspace satisfying the relation mentioned above, generalize the antisymmetric states and symmetric states in higher dimensions, and give a specific value for distillable entanglement and entanglement cost for these states under the PPT operations.
基金Project supported by the National Natural Science Foundation of China (Grant No. 11074072)
文摘The dynamics of distillability entanglement between qutrit-qutrit systems interacting with a thermal reservoir is investigated in this paper. We discovered an interesting phenomenon that under a thermal reservoir certain initially prepared free=entangled states become bound-entangled states in a finite time, which is called distillability sudden death （DSD）. We use a realignment criterion to measure the nine-dimensional density matrix of the entanglement. Moreover, we analyze some other parameters to investigate the effects to the systems. Explanations are then given.
