Quantum Memristors in Frequency-Entangled Optical Fields

TL;DR

This paper proposes a method to implement quantum memristors using frequency-entangled optical fields and mixers, demonstrating hysteretic behavior and paving the way for quantum neural networks in photonics.

Contribution

It introduces a novel approach to realize quantum memristors with frequency-entangled fields, expanding quantum neuromorphic computing possibilities.

Findings

Hysteretic behavior observed in frequency-entangled optical systems.

Implementation of quantum memristors using frequency mixers.

Potential for quantum neural network development.

Abstract

A quantum memristor is a resistive passive circuit element with memory engineered in a given quantum platform. It can be represented by a quantum system coupled to a dissipative environment, in which a system-bath coupling is mediated through a weak measurement scheme and classical feedback on the system. In quantum photonics, such a device can be designed from a beam splitter with tunable reflectivity, which is modified depending on the results of measurements in one of the outgoing beams. Here, we show that a similar implementation can be achieved with frequency-entangled optical fields and a frequency mixer that, working similarly to a beam splitter, produces state superpositions. We show that the characteristic hysteretic behavior of memristors can be reproduced when analyzing the response of the system with respect to the control, for different experimentally-attainable states. Since memory effects in memristors can be exploited for classical and neuromorphic computation, the results presented in this work provides the first steps of a novel route towards constructing quantum neural networks in quantum photonics.