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arXiv 1006.3152quant-ph
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图态的噪声纠缠演化

Noisy entanglement evolution for graph states

L. Aolita, D. Cavalcanti, R. Chaves, C. Dhara, L. Davidovich, A. Acin

摘要:

最近在[Cavalcanti,et al.,物理修订信函103,030502(2009)]。这种方法是基于上下限的纠缠的整个状态作为一个函数的一个小得多的子系统,它经历了一个有效的噪声过程的状态。这大大简化了计算这些系统中纠缠所涉及的矩阵的大小。在本文中,我们详细阐述了这种方法,并将其推广到泡利映射未描述的其他自然情况。具体来说,泡利映射,我们引入了一个明确的公式,所产生的有效噪声的特征。除了泡利映射,我们表明,同样的想法可以适用于在任意温度下的热储的情况下。在后一种情况下,我们讨论如何优化作为噪声强度的函数的边界。我们说明了我们的想法与几个不同的图形和特定的退相干过程的明确的示例性结果。并对该方法的局限性进行了讨论。

英文摘要:

A general method for the study of the entanglement evolution of graph states under the action of Pauli was recently proposed in [Cavalcanti, et al., Phys. Rev. Lett. 103, 030502 (2009)]. This method is based on lower and upper bounds on the entanglement of the entire state as a function only of the state of a considerably-smaller subsystem, which undergoes an effective noise process. This provides a huge simplification on the size of the matrices involved in the calculation of entanglement in these systems. In the present paper we elaborate on this method in details and generalize it to other natural situations not described by Pauli maps. Specifically, for Pauli maps we introduce an explicit formula for the characterization of the resulting effective noise. Beyond Pauli maps, we show that the same ideas can be applied to the case of thermal reservoirs at arbitrary temperature. In the latter case, we discuss how to optimize the bounds as a function of the noise strength. We illustrate our ideas with explicit exemplary results for several different graphs and particular decoherence processes. The limitations of the method are also discussed.

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