作为量子相干中一种资源的虚部性：几何分解与操作转换
Imaginarity as a Resource within Quantum Coherence: Geometric Decomposition and Operational Conversion
浏览论文内容
中文总结 AI 辅助
研究将虚部性作为量子相干基本资源，通过几何分解划分相干性，给出两体系统相关界限，设计操作协议实现资源转换，对角哈密顿量下动力学演化有互补振荡，为分布式量子技术资源管理提供见解。
中文摘要 AI 辅助
我们建立了一个严格的框架，将虚部性确定为量子相干中固有的一种基本资源。通过几何分解，我们将相干性划分为不同的虚部性和剩余部分，揭示了这些资源之间普遍的层次关系。对于两体系统，这种分解给出了非局域关联和虚部性限制局域相干性产生程度的明确界限。此外，我们设计了一个明确的操作协议，将虚部性转换为可用的相干性，证明了在物理上可允许的操作下这些资源的直接相互转换性。对角哈密顿量下的动力学演化得到了充分表征，表明虽然总相干性守恒，但虚部性和剩余相干性呈现互补振荡。我们的结果为虚部性作为量子相干的基本组成部分提供了严格的几何和操作表征，为分布式量子技术中的资源管理提供了具体见解。本文建立的几何框架和理论界限是完全通用的，而明确的转换协议和动力学分析在量子比特系统中提供了令人信服的原理证明。
英文摘要
We establish a rigorous framework that identifies imaginarity as a fundamental resource inherent in quantum coherence. By means of a geometric decomposition, we partition coherence into distinct imaginarity and residual components, thereby revealing a universal hierarchical relationship among these resources. For bipartite systems, this decomposition provides explicit bounds on the extent to which nonlocal correlations and imaginarity limit local coherence generation. Furthermore, we devise an explicit operational protocol that converts imaginarity into usable coherence, demonstrating the direct interconvertibility of these resources under physically admissible operations. The dynamical evolution under diagonal Hamiltonians is fully characterized, showing that while total coherence is conserved, imaginarity and residual coherence exhibit complementary oscillations. Our results provide a rigorous geometric and operational characterization of imaginarity as a fundamental constituent of quantum coherence, offering concrete insights for resource management in distributed quantum technologies. The geometric framework and theoretical bounds established herein are fully general, while the explicit conversion protocol and dynamical analysis serve as a compelling proof-of-principle demonstration in qubit systems.
