Li Geng, Dong Hui
Graduate School of China Academy of Engineering Physics, Beijing 100193, China.
School of Systems Science, <a href="https://ror.org/022k4wk35">Beijing Normal University</a>, Beijing 100875, China.
Phys Rev E. 2024 Sep;110(3-1):034115. doi: 10.1103/PhysRevE.110.034115.
To achieve fast computation, it is crucial to reset the memory to a desired state within a limited time. However, the inherent delay in the system's response often prevents reaching the desired state once the control process is completed in finite time. To address this challenge, we propose a shortcut strategy that incorporates an auxiliary control to guide the system towards an equilibrium state that corresponds to the intended control, thus enabling memory reset to desired accuracy regardless of the erasure speed. Through the application of thermodynamic geometry, we derive an optimal shortcut protocol for erasure processes that minimizes the energy cost. This research provides an effective design principle for realizing the finite-time erasure process to desired accuracy while simultaneously reducing the energy cost, thereby alleviating the burden of heat dissipation.
为了实现快速计算，在有限时间内将内存重置到期望状态至关重要。然而，系统响应中固有的延迟往往会导致一旦控制过程在有限时间内完成，就无法达到期望状态。为应对这一挑战，我们提出了一种捷径策略，该策略纳入辅助控制，引导系统趋向与预期控制相对应的平衡状态，从而无论擦除速度如何，都能将内存重置到期望的精度。通过应用热力学几何，我们推导出一种用于擦除过程的最优捷径协议，该协议可将能量成本降至最低。本研究为实现有限时间内达到期望精度的擦除过程同时降低能量成本提供了有效的设计原则，从而减轻散热负担。
