兰道尔擦除热力学中的量子姆佩巴加速
Quantum Mpemba Speedups in the Thermodynamics of Landauer Erasure
浏览论文内容
中文总结 AI 辅助
该研究探究非平衡量子初态对兰道尔擦除有限时间热力学成本的影响，推导修正后的兰道尔界，证明姆佩巴-兰道尔条件，通过qutrit模型展示加速效应，并确定可在多平台测试的控制旋钮。
中文摘要 AI 辅助
我们研究非平衡量子初态如何降低兰道尔擦除的有限时间热力学成本。考虑一个通过Davies发生器与热库耦合的一般有限维量子存储器，我们证明在固定操作擦除保真度下，耗散热量主要由初态与最慢Liouvillian弛豫模式的重叠程度控制。我们推导了修正后的有限时间兰道尔界，其中准静态极限之上的额外耗散与该慢模式投影呈二次缩放关系，并证明了一个充分的姆佩巴-兰道尔条件，在此条件下，更热的态能比更冷的制备态更快擦除且耗散更少热量，同时不违反兰道尔原理。一个最小qutrit模型展示了这些量子姆佩巴加速，并揭示了宽广的参数区域，其中相干性和哈密顿量诱导的模式共同抑制有限时间熵产生。我们进一步确定了实用的控制旋钮，包括温度调谐、相干性工程和Liouvillian谱的哈密顿量整形，这些可使姆佩巴增强的擦除在超导电路、囚禁离子、半导体量子点和固态自旋等平台上直接测试。
英文摘要
We investigate how nonequilibrium quantum initial states can reduce the finite-time thermodynamic cost of Landauer erasure. Considering a general finite-dimensional quantum memory coupled to a thermal reservoir via a Davies generator, we show that the dissipated heat at a fixed operational erasure fidelity is largely controlled by the overlap of the initial state with the slowest Liouvillian relaxation mode. We derive a modified finite-time Landauer bound in which the excess dissipation above the quasistatic limit scales quadratically with this slow mode projection, and we prove a sufficient Mpemba Landauer condition under which a hotter state can erase faster and dissipate less heat than a colder preparation, without violating Landauer's principle. A minimal qutrit model illustrates these quantum Mpemba speedups and reveals broad parameter regimes where coherence and Hamiltonian-induced modes conspire to suppress finite-time entropy production. We further identify practical control knobs, including temperature tuning, coherence engineering, and Hamiltonian shaping of Liouvillian spectra, which enable Mpemba-enhanced erasure to be directly tested on platforms such as superconducting circuits, trapped ions, semiconductor quantum dots, and solid-state spins.
