Inductive entanglement classification of four qubits under stochastic local operations and classical communication

Inductive entanglement classification of four qubits under stochastic local operations and classical communication
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DOI:
10.1103/physreva.75.022318
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发表时间:
2007-02
期刊:
影响因子:
2.9
通讯作者:
L. Lamata;J. León;D. Salgado;E. Solano
L. Lamata;J. León;D. Salgado;E. Solano
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
L. Lamata;J. León;D. Salgado;E. Solano

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利用作者[Phys.Rev.A74,052336(2006)]最近提出的随机局域操作和经典通信下的多体纠缠态的归纳分类方法,给出了四量子比特纠缠纯态的完全分类.除了预期的简并类,我们发现存在八个不等价的方式纠缠四个量子比特。在这方面,考虑到排列对称性,并且具有仅由连续集合内的参数不同的结构的状态被认为属于同一类。
Using an inductive approach to classify multipartite entangled states under stochastic local operations and classical communication introduced recently by the authors [Phys. Rev. A 74, 052336 (2006)], we give the complete classification of four-qubit entangled pure states. Apart from the expected degenerate classes, we show that there exist eight inequivalent ways to entangle four qubits. In this respect, permutation symmetry is taken into account and states with a structure differing only by parameters inside a continuous set are considered to belong to the same class.