We propose the encoding of memristive quantum dynamics on a digital quantum computer. Using a set of auxiliary qubits, we simulate an effective non-Markovian environment inspired by a collisional model, reproducing memristive features between expectation values of different operators in a single qubit. We numerically test our proposal in an IBM quantum simulator with 32 qubits, obtaining the pinched hysteresis curve that is characteristic of a quantum memristor. Furthermore, we extend our method to the case of two coupled quantum memristors, opening the door to the study of neuromorphic quantum computing in the NISQ era.
@article{arxiv.2112.14660,
title = {Quantum Memristors with Quantum Computers},
author = {Y. -M. Guo and F. Albarrán-Arriagada and H. Alaeian and E. Solano and G. Alvarado Barrios},
journal= {arXiv preprint arXiv:2112.14660},
year = {2022}
}