AI 中文总结
该研究针对量子比特晶格的量子态传输，推导了近似态传输所需对易子范数增长的严格下界，改进了一维幂律系统中热噪声下态传输的运行时间界，扩展了精确态传输的相关结果至近似态传输领域。
AI 中文摘要
量子比特晶格上的量子态传输是众多量子信息处理任务中的关键步骤。理解其在实际缺陷存在下的基本限制仍是亟待解决的开放问题，尤其是中间辅助位点的热噪声如何阻碍传输尚不明确。本研究推导了实现近似态传输所需对易子范数增长的严格下界，针对具有热辅助态的一维幂律系统，证明态传输运行时间对温度随系统尺寸的缩放关系敏感，将对数界改进为代数界。本研究将精确态传输的已有结果扩展到定性不同且更具实际意义的近似态传输领域。
英文摘要
Quantum state transfer on qubit lattices is a crucial step in a panoply of quantum information processing tasks. Understanding its fundamental limits in the presence of practical imperfections remains a pressing open question. In particular, it is unclear how thermal noise in the intermediate ancilla sites impedes transfer. In this work, we derive tight lower bounds on the necessary growth of commutator norms to achieve approximate state transfer. Specializing to 1D power-law systems with thermal ancilla states, we demonstrate that state transfer runtimes depend sensitively on the scaling of temperature with system size, improving logarithmic bounds to algebraic ones. Our work extends previous results on exact state transfer to the qualitatively different and more practically relevant regime of approximate state transfer.
Comments18 pages, 3 figures
