论文标题
真正的量子叠加的生物三相资源理论
Biorthogonal resource theory of genuine quantum superposition
论文作者
论文摘要
量子叠加的现象以两种不同的方式表现出来：它要么在非正交的基础状态下传播，要么仍然隐藏在其重叠中。尽管具有深远的含义，但叠加的资源理论通常忽略了这些重叠中存在的量子叠加。但是，该组成部分与状态不可区分的形式相关，并可能引起量子相关性。在本文中，我们介绍了密度操作员的伪 - 温米表示，其中其对角线元素对应于Kirkwood-Dirac Quasi-probobilities的生物息肉扩展。该表示形式为基础间量子叠加和基础状态的统一框架提供了一个不可区分的性，从而产生了我们所说的\ textit {quanine}量子叠加。此外，我们提出了当前叠加度量的适当概括，以量化真正的量子叠加，这是量子相干性和相关性出现的非经典性的基本概念。最后，我们探讨了理论框架的潜在应用，尤其是在化学键和芳香性中电子定位定位的定量中。
The phenomenon of quantum superposition manifests in two distinct ways: it either spreads out across non-orthogonal basis states or remains concealed within their overlaps. Despite its profound implications, the resource theory of superposition often neglects the quantum superposition residing within these overlaps. However, this component is intricately linked to a form of state indistinguishability and can give rise to quantum correlations. In this paper, we introduce a pseudo-Hermitian representation of the density operator, wherein its diagonal elements correspond to biorthogonal extensions of Kirkwood-Dirac quasi-probabilities. This representation provides a unified framework for the inter-basis quantum superposition and basis state indistinguishability, giving rise to what we term as \textit{genuine} quantum superposition. Moreover, we propose appropriate generalizations of current superposition measures to quantify genuine quantum superposition that serves as the fundamental notion of nonclassicality from which both quantum coherence and correlations emerge. Finally, we explore potential applications of our theoretical framework, particularly in the quantification of electron delocalization in chemical bonding and aromaticity.
