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arXiv quant-ph/9911086quant-ph
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确定性量子态变换

Deterministic Quantum State Transformations

Anthony Chefles

摘要:

我们得到了一个完全正的,线性的,保迹映射存在的必要条件,该映射确定性地将一个有限的纯量子态转换为另一个。这个条件对于线性无关的初始状态也是充分的。我们还研究了量子相干性的问题,也就是说,当这样的操作保持叠加的纯度。如果在从一个线性无关的集合到另一个线性无关的集合的任何确定性变换中,即使初始状态的单个完全叠加保持其纯度,则初始状态和最终状态通过幺正变换相关联。

英文摘要:

We derive a necessary condition for the existence of a completely-positive, linear, trace-preserving map which deterministically transforms one finite set of pure quantum states into another. This condition is also sufficient for linearly-independent initial states. We also examine the issue of quantum coherence, that is, when such operations maintain the purity of superpositions. If, in any deterministic transformation from one linearly-independent set to another, even a single, complete superposition of the initial states maintains its purity, the initial and final states are related by a unitary transformation.

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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