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arXiv quant-ph/0606190quant-phcond-mat.stat-mechmath-phmath.MPphysics.optics
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N模纯高斯态的类属纠缠和标准形

Generic Entanglement and Standard Form for N-mode Pure Gaussian States

Gerardo Adesso

摘要:

我们研究了纯N模高斯源的相关结构,这些高斯源可以通过挤压器和分束器实验产生,它们的纠缠特性是通用的。我们表明,这些状态指定(本地幺正)的N(N-1)/2参数,对应于两点之间的任何一对模式的相关性。我们的结构产生了一个实用的方案,工程师这样的一般纠缠N模纯高斯态的线性光学。我们讨论了我们的研究结果的框架中的高斯矩阵产品状态的谐波晶格,提高与纠缠挫折和熵面积法的连接。

英文摘要:

We investigate the correlation structure of pure N-mode Gaussian resources which can be experimentally generated by means of squeezers and beam splitters, whose entanglement properties are generic. We show that those states are specified (up to local unitaries) by N(N-1)/2 parameters, corresponding to the two-point correlations between any pair of modes. Our construction yields a practical scheme to engineer such generic-entangled N-mode pure Gaussian states by linear optics. We discuss our findings in the framework of Gaussian matrix product states of harmonic lattices, raising connections with entanglement frustration and the entropic area law.

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