Hayashi M, Markham D, Murao M, Owari M, Virmani S
Imai Quantum Computation and Information Project, ERATO, JST, Tokyo 113-0033, Japan.
Phys Rev Lett. 2006 Feb 3;96(4):040501. doi: 10.1103/PhysRevLett.96.040501. Epub 2006 Feb 2.
We show that entanglement guarantees difficulty in the discrimination of orthogonal multipartite states locally. The number of pure states that can be discriminated by local operations and classical communication is bounded by the total dimension over the average entanglement. A similar, general condition is also shown for pure and mixed states. These results offer a rare operational interpretation for three abstractly defined distancelike measures of multipartite entanglement.
我们证明了纠缠保证了在局域上区分正交多体态的困难性。通过局域操作和经典通信可区分的纯态数量受平均纠缠度上的总维度限制。对于纯态和混合态,也给出了类似的一般条件。这些结果为多体纠缠的三种抽象定义的类距离度量提供了难得的操作解释。