论文标题
证人操作员可以更好地估计$ d_ {1} \ otimes d_ {2} $ dimensional System在$ d_ {1} \ otimes in $ d_ {1} \ otimes in dymement of contangled状态的下限
Witness Operator Provides Better Estimate of the Lower Bound of Concurrence of Bipartite Bound Entangled States in $d_{1}\otimes d_{2}$ Dimensional System
论文作者
论文摘要
众所周知,证人操作员在检测和量化纠缠状态很有用。这促使我们建立了可以发现许多混合纠缠国家的证人经营者家族。然后,使用证人经营者家族来估计被检测到的混合纠缠状态并发的下限。我们的见证人运营商的构建方法在某种意义上很重要,即它将估计纠缠状态在任意$ d_ {1} \ otimes d_ {2}(d_ {1} \ leq d_ {2})$ dimensional系统中的更好下限。我们已经通过检测许多未被早期方法检测到的绑定的纠缠状态来展示我们构建的证人运营商的重要性,然后我们使用证人操作员的期望值来估计那些绑定的纠缠状态的同意的下限。
It is known that the witness operator is useful in the detection and quantification of entangled states. This motivated us for the construction of the family of witness operators that can detect many mixed entangled states. This family of witness operators is then used to estimate the lower bound of concurrence of the detected mixed entangled states. Our method of construction of witness operator is important in the sense that it will estimate a better lower bound of concurrence of the entangled states in arbitrary $d_{1}\otimes d_{2} (d_{1}\leq d_{2})$ dimensional system compared to the lower bound of the concurrence given in \cite{kchen}. We have shown the significance of our constructed witness operator by detecting many bound entangled states that are not detected by the earlier methods and then we use the expectation value of the witness operator to estimate the lower bound of the concurrence of those bound entangled states.