Separability of N-particle fermionic states for arbitrary partitions
Separability of N-particle fermionic states for arbitrary partitions
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DOI：
10.1063/1.3399807
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发表时间：
2010-06-01
影响因子：
1.3
通讯作者：
Tsutsui, Izumi
中科院分区：
文献类型：
--
作者：
Ichikawa, Tsubasa;Sasaki, Toshihiko;Tsutsui, Izumi
给出了N粒子费米子纯态任意s分划的可分性判据。我们表明，尽管表面的nonfactorizability由于反对称所需的粒子的不变性，满足我们的标准的状态具有可因式分解的相关性，这是指定一致的状态的一类观测量。可分态和相关的观测量类共享一个正交结构，其非唯一性被发现是内在的多部可分性，并导致非传递性的因式分解，在一般情况下。我们的结果推广了Ghirardi等人[J. Stat. Phys.108，49（2002）]对于s=2和s=N的情况。(C)2010年美国物理学会。[doi：10.1063/1.3399807]
We present a criterion of separability for arbitrary s partitions of N-particle fermionic pure states. We show that, despite the superficial nonfactorizability due to the antisymmetry required by the indistinguishability of the particles, the states which meet our criterion have factorizable correlations for a class of observables which are specified consistently with the states. The separable states and the associated class of observables share an orthogonal structure, whose nonuniqueness is found to be intrinsic to the multipartite separability and leads to the nontransitivity in the factorizability, in general. Our result generalizes the previous result obtained by Ghirardi et al. [J. Stat. Phys. 108, 49 (2002)] for the s=2 and s=N case. (C) 2010 American Institute of Physics. [doi:10.1063/1.3399807]