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Acta Physica Sinica

Detecting quantum coherence and complex quantum systems in physical sources without a predefined basis

WANG Yukun, HAN Wenmin, Jincheng XING

Published Jan 1, 2026• 0 citations
Publisher

Abstract

量子相干性是量子理论的核心特征,与纠缠、复数结构及随机性理论紧密相关,具有重要应用价值。近年来,量子相干性被视作一种量子资源,并建立了系统的相干性度量框架,涌现出多种度量方法。这些相干性度量方法都依赖于量子态的精确表征和预先选定的参考基。本文指出,量子相干性可以在半设备无关场景下被观测到,这意味着除了二维量子系统外,无需再信任相关设备及预先选择参考基。我们首先建立了非相干源的严格数学定义,进而利用Gram矩阵的秩分析理论,构建了线性和非线性两类相干性见证方案。理论证明显示,该方法不仅能有效区分相干源与非相干源,还能进一步鉴别系统的底层结构特性,即判定系统属于经典系统、实数量子系统还是复数量子系统。特别地,我们证明了在最小测量资源下线性见证的可行性,并通过行列式见证提供了更完备的检测手段。本研究为量子相干性资源验证提供了新的理论工具,对量子设备认证和量子基础研究具有重要意义。

DOI
10.7498/aps.75.20251659

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A model that allows one to calculate information rates for optical communication systems that use photocount detection is presented. This model has its basis in the coherent states of the field. It consists of a source that places the field in a coherent state, a channel that can introduce additive Gaussian noise, and a photodetector that produces the number of photocounts in the detection interval as output symbols. The capability of introducing additive Gaussian noise can also be used to represent a physical source. The model is applied to several examples to illustrate its use. The rate of flow of information through the channel is calculated for a binary channel with and without additive Gaussian noise. The information rate for a noiseless channel is also obtained for the case in which the signals sent by a single-mode coherent source are selected from a Gaussian distribution.
Quantum coherence is one of the primary non-classical features of quantum systems. While protocols such as the Leggett-Garg inequality (LGI) and quantum tomography can be used to test for the existence of quantum coherence and dynamics in a given system, unambiguously detecting inherent "quantumness" still faces serious obstacles in terms of experimental feasibility and efficiency, particularly in complex systems. Here we introduce two "quantum witnesses" to efficiently verify quantum coherence and dynamics in the time domain, without the expense and burden of non-invasive measurements or full tomographic processes. Using several physical examples, including quantum transport in solid-state nanostructures and in biological organisms, we show that these quantum witnesses are robust and have a much finer resolution in their detection window than the LGI has. These robust quantum indicators may assist in reducing the experimental overhead in unambiguously verifying quantum coherence in complex systems.