基于量子绝热捷径的忆阻器设计及其在储库计算中的应用

doi:10.3969/j.issn.1007-5461.2026.05.004

量子电子学报 ›› 2026, Vol. 43 ›› Issue (5): 717-726.doi: 10.3969/j.issn.1007-5461.2026.05.004

基于量子绝热捷径的忆阻器设计及其在储库计算中的应用

杨超 1, 陆杰 1,2*

1 上海大学理学院物理系, 上海 200444; 2 上海大学量子科技研究院, 上海 200444

收稿日期:2025-09-01 修回日期:2025-10-29 出版日期:2026-09-28 发布日期:2026-09-30
通讯作者: E-mail: lujie@shu.edu.cn E-mail:lujie@shu.edu.cn
作者简介:杨超 ( 1998 - ), 上海人, 研究生, 主要从事量子计算方面的研究。E-mail: 1976130274@qq.com
基金资助:

Memristor design based on quantum shortcuts to adiabaticity and its applications in reservoir computing

YANG Chao 1, LU Jie 1,2*

1 Department of Physics, College of Science, Shanghai University, Shanghai 200444, China; 2 Institute for Quantum Science and Technology, Shanghai University, Shanghai 200444, China

Received:2025-09-01 Revised:2025-10-29 Published:2026-09-28 Online:2026-09-30

摘要/Abstract

摘要： 量子绝热捷径(STA)是一类在有限演化时间内实现等效于绝热过程结果的控制方法。其中的反控制法基于 Lewis-Riesenfeld 不变量理论, 通过构造满足不变量方程的辅助哈密顿量, 设计系统参数的时间依赖形式, 使得系统在给定的边界条件下精确到达目标态。本研究将STA 反控制方法应用于量子化的电阻-电感-电容(RLC)电路, 通过精确设计频率, 实现了对量子化RLC 电路动力学的有效调控。在此基础上, 进一步将STA 反控制方法拓展应用于忆阻器, 研究结果表明, 该方法能有效调控忆阻器非线性输出的稳定性, 并引导其动态行为向期望状态演化。最终, 基于此可控忆阻器模型, 构建了忆阻器阵列并探索其在储库计算中的应用, 针对随机输入信号实现了高效模拟与预测。

关键词: 反控制, 忆阻器, 储备池计算

Abstract: Quantum shortcuts to adiabaticity (STA) constitutes a class of control protocols to reproduce the outcome of an adiabatic process within a finite evolution time. Among these control protocols, the inverse-engineering approach, based on the Lewis-Riesenfeld invariant theory, constructs an auxiliary Hamiltonian that satisfies the invariant equation and prescribes a time-dependent trajectory for the system parameters, thereby enabling precise steering of the quantum state to a desired target under specified boundary conditions. In this work, we apply the STA inverse-engineering approach to a quantized resistorinductor- capacitor (RLC) circuit. By accurately engineering the driving frequency, we achieve effective regulation of the quantum RLC circuit dynamics. Furthermore, the inverse-engineering approach framework is extended to memristive systems, where our results demonstrate that this approach can effectively stabilize the nonlinear output of a memristor and guide its dynamical evolution toward the prescribed state. Finally, based on this controllable memristor model, we construct memristor arrays and explore their implementation in reservoir computing, achieving efficient simulation and prediction of random input signals.

Key words: inverse-engineering, memristor, reservoir computing

中图分类号:

O455

杨超 , 陆杰 , . 基于量子绝热捷径的忆阻器设计及其在储库计算中的应用[J]. 量子电子学报, 2026, 43(5): 717-726.

YANG Chao , LU Jie , . Memristor design based on quantum shortcuts to adiabaticity and its applications in reservoir computing[J]. Chinese Journal of Quantum Electronics, 2026, 43(5): 717-726.

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基于量子绝热捷径的忆阻器设计及其在储库计算中的应用

Memristor design based on quantum shortcuts to adiabaticity and its applications in reservoir computing

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