论文标题

典型量子相干性的扩散和不对称及其对玻璃疾病的抑制作用

Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder

论文作者

Biswas, George, Sarkar, Santanu, Biswas, Anindya, Sen, Ujjwal

论文摘要

我们考虑了典型延迟和Qudits的平均量子相干 - 真实和复杂的希尔伯特空间的向量 - 分析形式是由HAAR均匀分布的随机纯状态的对称性引起的。随后,我们研究了响应玻璃疾病的典型量子相干性传播中对疾病的反应。该疾病插入了状态参数。即使在没有障碍的情况下,在量子相干性的范围内,延迟和Qudits的量子相干性分布也不均匀,对于更高的维度,差异较低。在插入障碍时,差异减少。响应疾病的量子相干分布的传播的下降被认为是典型纯状态的一般特征:我们观察到不同的无序强度和各种类型的疾病分布的特征,即。高斯,统一和库奇·洛伦兹。我们还发现,随着尺寸增加和玻璃疾病的输注,量子相干分布变得不对称。

We consider the average quantum coherences of typical redits and qudits - vectors of real and complex Hilbert spaces - with the analytical forms stemming from the symmetry of Haar-uniformly distributed random pure states. We subsequently study the response to disorder in spread of the typical quantum coherence in response to glassy disorder. The disorder is inserted in the state parameters. Even in the absence of disorder, the quantum coherence distributions of redits and qudits are not uniform over the range of quantum coherence, and the spreads are lower for higher dimensions. On insertion of disorder, the spreads decrease. This decrease in the spread of quantum coherence distribution in response to disorder is seen to be a generic feature of typical pure states: we observe the feature for different strengths of disorder and for various types of disorder distributions, viz. Gaussian, uniform, and Cauchy-Lorentz. We also find that the quantum coherence distributions become less asymmetric with increase in dimension and with infusion of glassy disorder.

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