Tripartite entanglement in quantum memristors

TL;DR

This paper investigates the entanglement and memristive behavior of three coupled quantum memristors arranged in different geometries, revealing their potential for quantum neural networks and neuromorphic quantum computing.

Contribution

It introduces a study of multipartite entanglement and memristivity in quantum memristor arrays with novel geometries, highlighting their quantum correlations and potential applications.

Findings

Entanglement and memristivity behaviors depend on coupling geometry.

The system exhibits genuine tripartite entanglement.

Multipartite correlations can be harnessed for quantum computing architectures.

Abstract

We study the entanglement and memristive properties of three coupled quantum memristors. We consider quantum memristors based on superconducting asymmetric SQUID architectures which are coupled via inductors. The three quantum memristors are arranged in two different geometries: linear and triangular coupling configurations. We obtain a variety of correlation measures, including bipartite entanglement and tripartite negativity. We find that, for identical quantum memristors, entanglement and memristivity follow the same behavior for the triangular case and the opposite one in the linear case. Finally, we study the multipartite correlations with the tripartite negativity and entanglement monogamy relations, showing that our system has genuine tripartite entanglement. Our results show that quantum correlations in multipartite memristive systems have a non-trivial role and can be used to design quantum memristor arrays for quantum neural networks and neuromorphic quantum computing architectures.