Quantum Memristors with Quantum Computers

TL;DR

This paper introduces a method to simulate quantum memristors on digital quantum computers, demonstrating memristive behavior and potential for neuromorphic quantum computing in the NISQ era.

Contribution

It presents a novel encoding of memristive quantum dynamics on quantum computers using auxiliary qubits and demonstrates memristive features through numerical simulations.

Findings

Successfully simulated quantum memristors with characteristic hysteresis curves

Extended the model to coupled quantum memristors for neuromorphic computing

Validated the approach on IBM quantum simulators with 32 qubits

Abstract

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.