Completely positive maps and classical correlations

Completely positive maps and classical correlations
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DOI:
10.1088/1751-8113/41/20/205301
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发表时间:
2007-03
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
César A. Rodríguez-Rosario;K. Modi;Aik-meng Kuah;Anil Shaji;E. Sudarshan
César A. Rodríguez-Rosario;K. Modi;Aik-meng Kuah;Anil Shaji;E. Sudarshan
中科院分区:
其他
文献类型:
--
作者:
César A. Rodríguez-Rosario;K. Modi;Aik-meng Kuah;Anil Shaji;E. Sudarshan

文献摘要

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我们扩大了一个系统的初始状态和它的环境,是已知的,以保证完全积极的约化动力学的系统时,组合状态的发展酉。我们用它的量子不和谐来描述初态的关联[1]。我们证明,只有经典相关的初始状态导致完全积极的约化动力学。当存在量子关联(包括但不限于纠缠)时,诱导映射可能不是完全正的。
We expand the set of initial states of a system and its environment that are known to guarantee completely positive reduced dynamics for the system when the combined state evolves unitarily. We characterize the correlations in the initial state in terms of its quantum discord [1]. We prove that initial states that have only classical correlations lead to completely positive reduced dynamics. The induced maps can be not completely positive when quantum correlations including, but not limited to, entanglement are present.