We discuss optimal disentanglement processes of states of two two-level systems that belong to (i) the universal set, (ii) the set in which the states of one party lie on a single great circle of the Bloch sphere, and (iii) the set in which the states of one party commute with each other, by teleporting the states of one party (on which the disentangling machine is acting) through three particular types of separable channels, each of which is a mixture of Bell states. In the general scenario, by teleporting one party's state of an arbitrary entangled state of two two-level parties through some mixture of Bell states, we have shown that this entangled state can be made separable by using a physically realizable map $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{V}$ acting on one party's states, if $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{V}(I)=I,\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{V}({\ensuremath{\sigma}}_{j})={\ensuremath{\lambda}}_{j}{\ensuremath{\sigma}}_{j},$ where ${\ensuremath{\lambda}}_{j}>~0$ (for $j=1,2,3)$ and ${\ensuremath{\lambda}}_{1}+{\ensuremath{\lambda}}_{2}+{\ensuremath{\lambda}}_{3}<~1.$We discuss optimal disentanglement processes of states of two two-level systems that belong to (i) the universal set, (ii) the set in which the states of one party lie on a single great circle of the Bloch sphere, and (iii) the set in which the states of one party commute with each other, by teleporting the states of one party (on which the disentangling machine is acting) through three particular types of separable channels, each of which is a mixture of Bell states. In the general scenario, by teleporting one party's state of an arbitrary entangled state of two two-level parties through some mixture of Bell states, we have shown that this entangled state can be made separable by using a physically realizable map $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{V}$ acting on one party's states, if $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{V}(I)=I,\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{V}({\ensuremath{\sigma}}_{j})={\ensuremath{\lambda}}_{j}{\ensuremath{\sigma}}_{j},$ where ${\ensuremath{\lambda}}_{j}>~0$ (for $j=1,2,3)$ and ${\ensuremath{\lambda}}_{1}+{\ensuremath{\lambda}}_{2}+{\ensuremath{\lambda}}_{3}<~1.$

arXiv:quant-ph/0102010Physical Review ASep 19, 20014 citations

Two-qubit entanglement in an antiferromagnetic environment

Xiao-Zhong Yuan, Ka‐Di Zhu, Zhuo-Jie Wu

The European Physical Journal DFeb 8, 200511 citations

j=1,2,3)

and ${\ensuremath{\lambda}}_{1}+{\ensuremath{\lambda}}_{2}+{\ensuremath{\lambda}}_{3}<~1.$