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中国科学院大学学报 ›› 2016, Vol. 33 ›› Issue (3): 334-338.DOI: 10.7523/j.issn.2095-6134.2016.03.008

• 数学与物理学 • 上一篇    下一篇

L×M×N×H 五体纠缠态分类

贾康康, 李军利, 乔从丰   

  1. 中国科学院大学物理科学学院, 北京 100049
  • 发布日期:2016-05-15
  • 通讯作者: 乔从丰
  • 基金资助:

    Supported by National Key Basic Research Program of China(2015CB856700) and National Natural Science Foundation of China(11175249,11121092,11375200)

Classification of the entangled states of 2×L×M×N×H

JIA Kangkang, LI Junli, QIAO Congfeng   

  1. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Published:2016-05-15
  • Supported by:

    Supported by National Key Basic Research Program of China(2015CB856700) and National Natural Science Foundation of China(11175249,11121092,11375200)

摘要:

摘要提出一个2×L×M×N×H五体纠缠态基于随机定域操作和经典通信的实用分类方案.该方案将2×L×M×N的纠缠态分类方法推广到五体系统.首先利用矩阵分解将2×L×M×N×H体系的纠缠态分类为不同的粗粒化的标准型,然后利用矩阵重排技术进一步对具有相同标准型的不等价纠缠态进行细粒化辨认.最后给出一个2×2×2×2×2五量子比特系统的分类举例.

关键词: 量子纠缠, SLOCC分类, 非定域参数

Abstract:

In this work we propose a practical entanglement classification scheme for pure states of 2×L×M×N×H under the stochastic local operation and classical communication (SLOCC), which generalizes the method explored in the entanglement classification of 2×L×M×N to the five-partite system. The entangled states of 2×L×M×N×H system are first classified into different coarse-grained standard forms by using matrix decompositions, and then fine-grained identifications of two inequivalent entangled states with the same standard form are made by using the matrix realignment technique. As a practical example, the entanglement classes of the five-qubit system of 2×2×2×2×2 are presented.

Key words: quantum entanglement, SLOCC, nonlocal parameter

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