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arXiv quant-ph/0408174quant-ph
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独立退相干模型中多量子比特纠缠的鲁棒性

Robustness of multi-qubit entanglement in the independent decoherence model

Somshubhro Bandyopadhyay, Daniel A. Lidar

摘要:

研究了GHZ(或“猫”)类多体态在退相干下的鲁棒性。噪声模型由独立耦合到环境的量子比特的一般完全正映射描述。特别地,在大N极限下,研究了当(a)空间分离的子系统数目固定,但每个子系统的大小变大(b)子系统的大小固定,但它们的数目任意变大时N方纠缠的鲁棒性.在这两种情况下,我们得到了纠缠的条件。在我们的其他结果中,我们表明纠缠态的奇偶性(即,无论它包含偶数或奇数数量的量子位)在某些条件下都可以导致纠缠的性质上不同的鲁棒性。

英文摘要:

We study the robustness of the GHZ (or ``cat'') class of multi-partite states under decoherence. The noise model is described by a general completely positive map for qubits independently coupled to the environment. In particular, the robustness of N-party entanglement is studied in the large N limit when (a) the number of spatially separated subsystems is fixed but the size of each subsystem becomes large (b) the size of the subsystems is fixed while their number becomes arbitrarily large. We obtain conditions for entanglement in these two cases. Among our other results, we show that the parity of an entangled state (i.e., whether it contains an even or odd number of qubits) can lead to qualitatively different robustness of entanglement under certain conditions.

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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