论文标题

在玻色网态气体中,激发粒子态的多体波动的量子至高无上

Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas

论文作者

Kocharovsky, Vitaly V., Kocharovsky, Vladimir V., Tarasov, Sergey V.

论文摘要

我们找到了BEC气体中粒子职业数量的联合概率分布的特征函数(傅立叶变换)的通用分析公式,而Hafnian Master定理概括了著名的MacMahon永久性主定理。我们建议一个吸引人的模型,这是由一组Qubit潜在井形成的多Quit BEC陷阱,并讨论了这种原子玻色子采样系统与光子玻璃的细节。最后,BEC陷阱中多体波动的过程是用于计算的#P-HARD。它可以作为在经典模拟器上展示多体相互作用系统的量子至上的基础。

We find a universal analytic formula for a characteristic function (Fourier transform) of a joint probability distribution for the particle occupation numbers in a BEC gas and the Hafnian Master Theorem generalizing the famous Permanent Master Theorem of MacMahon. We suggest an appealing model, a multi-qubit BEC trap formed by a set of qubit potential wells, and discuss specifics of such an atomic boson-sampling system vs a photonic one. Finally, the process of many-body fluctuations in a BEC trap is #P-hard for computing. It could serve as a basis for demonstrating quantum supremacy of the many-body interacting systems over classical simulators.

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