Anand Amit, Srivastava Sanchit, Gangopadhyay Sayan, Ghose Shohini
Department of Mechanical Engineering, Indian Institute of Engineering Science And Technology, Shibpur, Howrah, West Bengal, 711103, India.
Department of Physics and Astronomy, University of Waterloo, Waterloo, N2L 3G1, ON, Canada.
Sci Rep. 2024 Nov 6;14(1):26890. doi: 10.1038/s41598-024-76448-0.
Noisy intermediate-scale quantum (NISQ) computers provide a new experimental platform for investigating the behaviour of complex quantum systems. We show that currently available NISQ devices can be used for versatile quantum simulations of chaotic systems. We introduce a classical-quantum hybrid approach for exploring the dynamics of the chaotic quantum kicked top (QKT) on a quantum computer. The programmability of this approach allows us to experimentally explore a broad range of QKT chaoticity parameter regimes inaccessible to previous studies. Furthermore, the number of gates in our simulation does not increase with the number of kicks, thus making it possible to study the QKT evolution for arbitrary number of kicks without fidelity loss. Using a publicly accessible NISQ computer (IBMQ), we observe periodicities in the evolution of the 2-qubit QKT, as well as signatures of chaos in the time-averaged 2-qubit entanglement. We also demonstrate a connection between entanglement and delocalization in the 2-qubit QKT, confirming theoretical predictions.
噪声中等规模量子（NISQ）计算机为研究复杂量子系统的行为提供了一个新的实验平台。我们表明，目前可用的NISQ设备可用于混沌系统的通用量子模拟。我们引入了一种经典 - 量子混合方法，用于在量子计算机上探索混沌量子踢转子（QKT）的动力学。这种方法的可编程性使我们能够通过实验探索以前的研究无法达到的广泛的QKT混沌参数范围。此外，我们模拟中的门数量不会随着踢数的增加而增加，因此有可能在不失保真度的情况下研究任意踢数的QKT演化。使用一台可公开访问的NISQ计算机（IBMQ），我们观察到2比特QKT演化中的周期性，以及时间平均2比特纠缠中的混沌特征。我们还展示了2比特QKT中纠缠与离域之间的联系，证实了理论预测。
