Memristive systems are generalisations of memristors, which are resistors with memory. In this paper, we present a quantum description of memristive systems. Using this model we propose and experimentally demonstrate a simple and practical scheme for realising memristive systems with quantum dots. The approach harnesses a phenomenon that is commonly seen as a bane of nanoelectronics, i.e. switching of a trapped charge in the vicinity of the device. We show that quantum-dot memristive systems have hysteresis current-voltage characteristics and quantum jump induced stochastic behaviour. Realising such a quantum memristor completes the menu of components for quantum circuit design.
@article{arxiv.1612.08409,
title = {A double quantum dot memristor},
author = {Ying Li and Gregory W. Holloway and Simon C. Benjamin and G. Andrew D. Briggs and Jonathan Baugh and Jan A. Mol},
journal= {arXiv preprint arXiv:1612.08409},
year = {2017}
}