Entangled Quantum Memristors

TL;DR

This paper introduces a model of two entangled quantum memristors coupled in superconducting circuits, revealing how their entanglement influences their hysteresis behavior and opening pathways for neuromorphic quantum computing.

Contribution

It presents a feasible design for entangled quantum memristors and analyzes their dynamic and entanglement properties, advancing quantum neuromorphic computing research.

Findings

Maximal entanglement correlates with minimal hysteresis.

Hysteresis direction reverses at maximal entanglement.

Entanglement and memristive dynamics exhibit inverse behavior.

Abstract

We propose the interaction of two quantum memristors via capacitive and inductive coupling in feasible superconducting circuit architectures. In this composed system the input gets correlated in time, which changes the dynamic response of each quantum memristor in terms of its pinched hysteresis curve and their nontrivial entanglement. In this sense, the concurrence and memristive dynamics follow an inverse behavior, showing maximal values of entanglement when the hysteresis curve is minimal and vice versa. Moreover, the direction followed in time by the hysteresis curve is reversed whenever the quantum memristor entanglement is maximal. The study of composed quantum memristors paves the way for developing neuromorphic quantum computers and native quantum neural networks, on the path towards quantum advantage with current NISQ technologies.