储层支撑设定非厄米动力学的最小损耗
Reservoir Support Sets the Minimum Loss for Non-Hermitian Dynamics
- National University of Science and Technology “MISIS”（国立科技大学“莫斯科创新大学”）
- Russian Quantum Center（俄罗斯量子中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究储层物理模式数对非厄米动力学最小损耗的影响，构建相位控制链证明三模储层达到无源阈值并减半损耗，揭示局部储层访问与可测损耗代价的联系。
AI中文摘要：
复现非厄米动力学所需的最小损耗取决于每个储层能够相干地处理的物理模式数量。既有的正矩阵判据限定了这一代价。我们构建了一个相位控制的立方根苏-施里弗-黑格链，在该链中，三模储层在整个相图中达到无限制的无源阈值，并在调谐点将最小对支撑损耗减半。该界限约束的是精确的条件轨迹，包括含时马尔可夫控制，而非对单一最终态的制备。一个连接链协议通过校准的有限时间发射来测试有效储层支撑。全系统-辅助传播随后对每个单粒子输入限定条件保真度和目标产率。一个能准确制备所选端点的相干控制器未能通过该传播子测试。一个奇异值界限排除了同一条件映射的所有幺正实现。这些结果将局部储层访问与指定动力学的可测量损耗代价联系起来。
英文摘要：
The minimum loss required to reproduce non-Hermitian dynamics depends on how many physical modes each reservoir can address coherently. Established positive-matrix criteria bound this cost. We construct a phase-controlled cubic-root Su-Schrieffer-Heeger chain in which three-mode reservoirs attain the unrestricted passivity threshold throughout its phase diagram and halve the minimum pair-supported loss at a tuned point. The bound constrains exact conditional trajectories, including time-dependent Markov controls, rather than preparation of one final state. A connected-chain protocol tests effective reservoir support through calibrated finite-time emission. Full system-auxiliary propagation then bounds conditional fidelity and target yield for every one-particle input. A coherent controller that accurately prepares the selected endpoint fails this propagator test. A singular-value bound excludes every unitary realization of the same conditional map. These results connect local reservoir access to a measurable loss cost for prescribed dynamics.
