Proposal for a Lorenz qubit

TL;DR

This paper proposes a model for a Lorenz attractor in a quantum bit system, enabling experimental exploration of classical nonlinear phenomena in quantum regimes with potential applications in quantum information processing.

Contribution

It introduces a nonlinear qubit model supporting tunable Lorenz attractors, bridging classical nonlinear dynamics and quantum systems.

Findings

Design of a Lorenz qubit model with tunable parameters

Potential for experimental realization of quantum Lorenz systems

Implications for quantum information processing applications

Abstract

Nonlinear qubit master equations have recently been shown to exhibit rich dynamical phenomena such as period doubling, Hopf bifurcation, and strange attractors usually associated with classical nonlinear systems. Here we investigate nonlinear qubit models that support tunable Lorenz attractors. A Lorenz qubit could be realized experimentally by combining qubit torsion, generated by real or simulated mean field dynamics, with linear amplification and dissipation. This would extend engineered Lorenz systems to the quantum regime, allowing for their direct experimental study and possible application to quantum information processing.