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arXiv quant-ph/0412167quant-ph
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完全关联链中的多重分布纠缠

Multi-distributed Entanglement in Finitely Correlated Chains

F. Benatti, B. C. Hiesmayr, H. Narnhofer

摘要:

研究了无限自旋链的纠缠共享性质,当链的态是矩阵乘积结构的纯自旋不变态时。我们利用它们的纠缠关联结构研究了它们的纠缠特性。利用矩阵代数B上的辅助密度矩阵ρ和完全正映射E:A \otimes B-> B递归构造这些态,其中A是自旋为2的\times 2矩阵代数.无限链的一般结构的结果,因此得到明确的计算(有限)矩阵代数。特别是,我们不仅研究了最近邻共享的纠缠,而且,不同于以往的作品,自旋链的连接区域之间共享的纠缠。这一范围内的可能的应用进行了说明和最大并发C = 1/\sqrt{2}的纠缠的连接区域,实际上可以达到。

英文摘要:

The entanglement-sharing properties of an infinite spin-chain are studied when the state of the chain is a pure, translation-invariant state with a matrix-product structure. We study the entanglement properties of such states by means of their finitely correlated structure. These states are recursively constructed by means of an auxiliary density matrix ρon a matrix algebra B and a completely positive map E: A \otimes B -> B, where A is the spin 2\times 2 matrix algebra. General structural results for the infinite chain are therefore obtained by explicit calculations in (finite) matrix algebras. In particular, we study not only the entanglement shared by nearest-neighbours, but also, differently from previous works, the entanglement shared between connected regions of the spin-chain. This range of possible applications is illustrated and the maximal concurrence C=1/\sqrt{2} for the entanglement of connected regions can actually be reached.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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