论文标题

有效地模拟具有玻色子采样的多个相同玻色子的工作分布

Efficiently simulating the work distribution of multiple identical bosons with boson sampling

论文作者

Liu, Wen-Qiang, Yin, Zhang-qi

论文摘要

理论上已经提出了玻色子采样,并在实验中证明了量子计算优势。但是,它仍然缺乏对玻色子采样的实际应用的深刻理解。在这里,我们建议可以使用玻色子采样来有效地模拟多个相同玻色子的工作分布。我们将工作分布与玻色子采样联系起来,并在数值上计算一维量子活塞系统中单孔特征状态之间的过渡幅度矩阵,然后将矩阵映射到玻色子采样的线性光学网络。使用分组概率估计的方法,可以通过玻色子采样的输出概率有效地模拟工作分布。该方案最多需要样品的多项式数量和光学元素。我们的工作为仅使用光子和线性光学器件计算复杂量子工作分布的新路径开辟了一条新的路径。

Boson sampling has been theoretically proposed and experimentally demonstrated to show quantum computational advantages. However, it still lacks the deep understanding of the practical applications of boson sampling. Here we propose that boson sampling can be used to efficiently simulate the work distribution of multiple identical bosons. We link the work distribution to boson sampling and numerically calculate the transition amplitude matrix between the single-boson eigenstates in a one-dimensional quantum piston system, and then map the matrix to a linear optical network of boson sampling. The work distribution can be efficiently simulated by the output probabilities of boson sampling using the method of the grouped probability estimation. The scheme requires at most a polynomial number of the samples and the optical elements. Our work opens up a new path towards the calculation of complex quantum work distribution using only photons and linear optics.

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