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arXiv quant-ph/0009041quant-phcond-mat
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纠缠环

Entangled Rings

Kevin M. O'Connor, William K. Wootters

摘要:

考虑一个具有N个量子比特的环,它处于一个几何不变的量子态。我们问每对最近邻能纠缠到什么程度。在一定的假设下,我们找到了一个最大可能的最近邻纠缠的公式。然后,我们比较了这个最大的纠缠实现的基态的反铁磁环组成的一个偶数的自旋1/2粒子。我们发现,尽管反铁磁基态相对于所有其他态没有最大化最近邻纠缠,但相对于自旋z分量为零的其他态,它做到了。

英文摘要:

Consider a ring of N qubits in a translationally invariant quantum state. We ask to what extent each pair of nearest neighbors can be entangled. Under certain assumptions about the form of the state, we find a formula for the maximum possible nearest-neighbor entanglement. We then compare this maximum with the entanglement achieved by the ground state of an antiferromagnetic ring consisting of an even number of spin-1/2 particles. We find that, though the antiferromagnetic ground state does not maximize the nearest-neighbor entanglement relative to all other states, it does so relative to other states having zero z-component of spin.

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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