通道等价监测下量子态系综制备的不同反馈强度要求
Distinct Feedback-Strength Requirements for Quantum-State Ensemble Preparation under Channel-Equivalent Monitoring
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中文总结 AI 辅助
本文研究通道等价监测下量子态系综制备的反馈强度需求，发现不同测量方式可改变所需反馈强度，固定横向噪声需ε^{-1}强度，切向噪声仅需O[√log(1/ε)]，并确定了最优策略与几何下界。
中文摘要 AI 辅助
对同一环境的不同测量可以保持平均量子通道不变，却改变制备态系综所需的反馈强度。我们在完全泡利监测下的多量子比特寄存器中确立了这一区别，目标是制备实振幅纯态的均匀系综。在单位探测效率、公共记录和有界哈密顿反馈条件下，固定横向噪声在分布误差ε下要求最小峰值强度与ε^{-1}成正比。切向噪声则允许一种构造，仅需O[√log(1/ε)]的强度。在固定制备时间下，我们确定了所有允许反馈策略下的最优方案，并推导出超越径向对称性的几何下界。这一分离表明，测量实现是受监测系综制备中控制资源规范的一部分。
英文摘要
Different measurements of the same environment can preserve the average quantum channel yet change the feedback strength needed to prepare a state ensemble. We establish this distinction for a multiqubit register under complete Pauli monitoring, targeting the uniform ensemble of real-amplitude pure states. With unit detection efficiency, public records, and bounded Hamiltonian feedback, fixed transverse noise requires a minimum peak strength proportional to $ε^{-1}$ at distributional error $ε$. Tangent noise instead admits a construction requiring only $O[\sqrt{\log(1/ε)}]$. At fixed preparation time, we determine the optimum over all allowed feedback policies and derive a geometric lower bound beyond radial symmetry. The separation identifies the measurement realization as part of the control-resource specification for monitored ensemble preparation.
发表机构
- School of Computer Science and Engineering, Macau University of Science and Technology（澳门科技大学计算机科学与工程学院）
- Zhuhai MUST Science and Technology Research Institute（珠海澳门科技大学研究院）
- School of Information and Software Engineering, University of Electronic Science and Technology of China（电子科技大学信息与软件工程学院）
机构由 AI 辅助整理，请以论文原文为准。
