可复用的选定时间通道用于非马尔可夫动力学的量子模拟

中文摘要 AI 辅助

非马尔可夫量子态扩散（QSD）提供了开放系统动力学的微观轨迹描述，但与选定初始态相关的轨迹不能直接作为量子通道复用。我们开发了一个构造性框架，将QSD传播子转换为与输入无关的Kraus通道，适用于固定的浴制备和选定的演化时间。该构造通过浴协方差的有限模式近似纳入储层记忆，并产生确定性的通道表示，可通过系统-辅助比特电路进行压缩以实现近似实现。对于此处考虑的量子比特系统，该构造在真空中精确闭合，并系统性地扩展到有限温度。具有结构化储层的双量子比特示例验证了真空通道构造，展示了其对选定初始态的有限温度扩展，并表明储层描述的复杂度可能与量子实现所需的辅助比特空间存在显著差异。因此，该框架建立了从微观储层记忆到可复用非马尔可夫量子模拟的直接桥梁，并为优化的硬件实现以及向更大系统和多时间动力学的扩展提供了基础。

英文摘要

Non-Markovian quantum-state diffusion (QSD) provides a microscopic trajectory description of open-system dynamics, but trajectories associated with a chosen initial state are not directly reusable as quantum channels. We develop a constructive framework that converts the QSD propagator into an input-independent Kraus channel for a fixed bath preparation and a selected evolution time. The construction incorporates reservoir memory through a finite-mode approximation of the bath covariance and yields a deterministic channel representation that can be compressed for approximate implementation with a system-ancilla circuit. For the qubit systems considered here, the construction closes exactly in vacuum and extends systematically to finite temperatures. Two-qubit examples with structured reservoirs validate the vacuum channel construction, illustrate its finite-temperature extension for a chosen initial state, and show that the complexity of the reservoir description can differ substantially from the ancilla space required for quantum realization. The framework therefore establishes a direct bridge from microscopic reservoir memory to reusable non-Markovian quantum simulation and provides a foundation for optimized hardware implementations and extensions to larger systems and multitime dynamics.

发表机构

• New York Institute of Technology（纽约理工学院）

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