Entanglement and Coherence Dynamics in Photonic Quantum Memristors

TL;DR

This paper investigates the quantum properties of photonic quantum memristors, demonstrating their memristive behavior, effects on entanglement and coherence, and their potential for non-linear quantum computing through simulations on a quantum computer.

Contribution

It provides the first detailed analysis of quantum coherence and entanglement dynamics in photonic quantum memristors and demonstrates their simulation on a real quantum computer.

Findings

Single PQM exhibits memristive coherence dynamics

Networks of PQMs can induce memory effects on entanglement and coherence

Quantum simulations on IBM-Q replicate memristive quantum dynamics

Abstract

Memristive systems exhibit dynamics that depend on their past states, making them useful as memory units. Recently, quantum memristor models have been proposed and notably, a photonic quantum memristor (PQM) has been experimentally proven. In this work, we explore and characterize various quantum properties that emerge from this specific model of PQM. Firstly, we find that a single PQM displays memristive dynamics on its quantum coherence. Secondly, we analytically show that a network made of two independent PQMs can manifest memory effects on the dynamics of both entanglement and coherence of correlated photons traveling through the network, regardless of their distance, in the hypothesis of negligible external disturbances. Additionally, we build and run a circuit-model of the PQM on a real qubit-based quantum computer (IBM-Q), showing that: (i) this system can effectively be used for non-linear quantum computing under specific conditions, and (ii) digital quantum simulations can reproduce the dynamics of a memristive quantum system in a non-Markovian regime.