Controlling quantum chaos via Parrondo strategies on noisy intermediate-scale quantum hardware

TL;DR

This paper demonstrates how to control quantum chaos in NISQ devices using quantum walks and Parrondo strategies, improving fidelity and enabling new quantum algorithms and cryptography applications.

Contribution

It introduces a method to control quantum chaos on NISQ hardware using quantum walks and Parrondo's paradox, with optimized circuit implementation and experimental validation.

Findings

Successful implementation of quantum walks on NISQ devices

Transition from quantum chaos to order demonstrated experimentally

Fidelity improved with dynamical decoupling pulses

Abstract

Advancements in Noisy Intermediate-Scale Quantum (NISQ) computing are steadily pushing these systems toward outperforming classical supercomputers on specific, well-defined computational tasks. In this work, we explore and control quantum chaos in NISQ systems using discrete-time quantum walks (DTQW) on cyclic graphs. To efficiently implement quantum walks on NISQ hardware, we employ the quantum Fourier transform (QFT) to diagonalize the conditional shift operator, optimizing circuit depth and fidelity. We experimentally realize the transition from quantum chaos to order via DTQW dynamics on both odd and even cyclic graphs, specifically 3- and 4-cycle graphs, using the counterintuitive Parrondo's paradox strategy across three different NISQ devices. While the 4-cycle graphs exhibit high-fidelity quantum evolution, the 3-cycle implementation shows significant fidelity improvement when augmented with dynamical decoupling pulses. Our results demonstrate a practical approach to probing and harnessing controlled chaotic dynamics on real quantum hardware, laying the groundwork for future quantum algorithms and cryptographic protocols based on quantum walks.