Quantifying Superposition
Quantifying Superposition
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发表时间：
2006-12
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通讯作者：
J. Åberg
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作者：
J. Åberg
引入了量化量子系统中希尔伯特空间正交分解的混合态叠加度的方法。这些叠加措施可以被看作是类似于纠缠措施，但也可以放在一个更直接的关系，后者。通过系统的第二次量子化，可以从纠缠度量中诱导出叠加度量。我们考虑了由纠缠的相对熵和形成的纠缠引起的测度。我们进一步介绍了一类具有操作解释的干涉测量方法。研究了子空间保持通道和局部子空间保持通道作用下的叠加测度。该理论用在马赫-曾德尔干涉仪中经历弛豫过程的原子模型来说明。
Measures are introduced to quantify the degree of superposition in mixed states with respect to orthogonal decompositions of the Hilbert space of a quantum system. These superposition measures can be regarded as analogues to entanglement measures, but can also be put in a more direct relation to the latter. By a second quantization of the system it is possible to induce superposition measures from entanglement measures. We consider the measures induced from relative entropy of entanglement and entanglement of formation. We furthermore introduce a class of measures with an operational interpretation in terms of interferometry. We consider the superposition measures under the action of subspace preserving and local subspace preserving channels. The theory is illustrated with models of an atom undergoing a relaxation process in a Mach-Zehnder interferometer.