Department of Mathematics, Heritage Institute of Technology, Kolkata, West Bengal, India.
Phys Rev Lett. 2011 Dec 30;107(27):270501. doi: 10.1103/PhysRevLett.107.270501. Epub 2011 Dec 29.
The ability of entangled states to act as a resource for teleportation is linked to a property of the fully entangled fraction. We show that the set of states with their fully entangled fraction bounded by a threshold value required for performing teleportation is both convex and compact. This feature enables the existence of Hermitian witness operators, the measurement of which could distinguish unknown states useful for performing teleportation. We present an example of such a witness operator illustrating it for different classes of states.
纠缠态作为传送资源的能力与完全纠缠部分的性质有关。我们证明了，对于满足传送所需的完全纠缠部分的阈值要求的状态集合，它是凸的且紧的。这一特性使得厄米见证算符的存在成为可能，通过测量这些见证算符，可以区分用于传送的有用未知态。我们给出了一个这样的见证算符的例子，展示了它对不同类态的应用。
