Universal quantum computation in integrable systems

TL;DR

This paper demonstrates that quantized integrable systems can achieve universal quantum computation through global control, leveraging their action-angle variables as qubits or qudits, unlike chaotic systems.

Contribution

It introduces a method to perform universal quantum computation using integrable systems controlled globally, a novel approach contrasting with chaotic systems.

Findings

Integrable systems can implement universal quantum gates with global control.

Chaotic systems do not generally support quantum computation under global control.

Action-angle variables serve as effective qubits or qudits in this framework.

Abstract

Quantized integrable systems can be made to perform universal quantum computation by the application of a global time-varying control. The action-angle variables of the integrable system function as qubits or qudits, which can be coupled selectively by the global control to induce universal quantum logic gates. By contrast, chaotic quantum systems, even if controllable, do not generically allow quantum computation under global control.