Ishizaka Satoshi
Fundamental Research Laboratories, NEC Corporation, 34 Miyukigaoka, Tsukuba, 305-8501, Japan.
Phys Rev Lett. 2004 Nov 5;93(19):190501. doi: 10.1103/PhysRevLett.93.190501. Epub 2004 Nov 1.
I show that two distant parties can transform pure entangled states to arbitrary pure states by stochastic local operations and classical communication (SLOCC) at the single copy level, if they share bound entangled states. This is the effect of bound entanglement since this entanglement processing is impossible by SLOCC alone. A similar effect of bound entanglement exists in three qubits where two incomparable entangled states of GHZ (Greenberger, Horne, and Zeilinger) and W can be interconverted. In general, multipartite settings composed by N distant parties, all N-partite pure entangled states are interconvertible by SLOCC with the assistance of bound entangled states with positive partial transpose.
我证明了,如果两个相距遥远的参与方共享束缚纠缠态,那么在单拷贝层面上,他们可以通过随机局部操作和经典通信(SLOCC)将纯纠缠态转换为任意纯态。这就是束缚纠缠的作用,因为仅靠SLOCC是无法进行这种纠缠处理的。在三个量子比特中也存在类似的束缚纠缠效应,其中格林伯格-霍恩-泽林格(GHZ)态和W态这两种不可比的纠缠态可以相互转换。一般来说,在由N个相距遥远的参与方组成的多体情形中,在具有正偏置转置的束缚纠缠态的辅助下,所有N体纯纠缠态都可以通过SLOCC相互转换。