近日，印度科学教育与研究所Ankur Raina团队研究了基于玻色子采样的局域现象的光子模拟。2025年3月31日出版的《物理评论A》杂志发表了这项成果。

当前状态的量子模拟在物理空间和冷却方面面临着实验开销。研究组提出玻色子采样可作为一种在室温下运行的紧凑型合成平台。在确定估计矩阵永磁体的能力后，他们探索了玻色子采样在处理量子系统动力学方面的适用性，而无需获取有关全态矢量的信息。

通过连续变门分解将哈密顿量的时间演化酉映射到干涉仪上，研究组给出了单个粒子局域化特性的原理结果的证明。他们研究了清洁和准周期无序极限下一维紧束缚系统的动力学，分别观察了布洛赫振荡和动力学局域化，以及奥布里-安德烈-哈珀模型中的离域到局域化相变。

研究组使用玻色子采样获得的计算结果与使用传统数值计算获得的非相互作用紧束缚系统的动态和静态结果完全一致。此外，该研究强调了采样测量或“射击”次数对模拟准确性的作用。

附：英文原文

Title: Photonic simulation of localization phenomena using boson sampling

Author: Anuprita V. Kulkarni, Vatsana Tiwari, Auditya Sharma, Ankur Raina

Issue&Volume: 2025/03/31

Abstract: Quantum simulation in its current state faces experimental overhead in terms of physical space and cooling. We propose boson sampling as an alternative compact synthetic platform performing at room temperature. Identifying the capability of estimating matrix permanents, we explore the applicability of boson sampling for tackling the dynamics of quantum systems without having access to information about the full state vector. By mapping the time-evolution unitary of a Hamiltonian onto an interferometer via continuous-variable gate decompositions, we present proof-of-principle results of localization characteristics of a single particle. We study the dynamics of one-dimensional tight-binding systems in the clean and quasiperiodic-disordered limits to observe Bloch oscillations and dynamical localization, and the delocalization-to-localization phase transition in the Aubry-André-Harper model, respectively. Our computational results obtained using boson sampling are in complete agreement with the dynamical and static results of noninteracting tight-binding systems obtained using conventional numerical calculations. Additionally, our study highlights the role of the number of sampling measurements or “shots” for simulation accuracy.

DOI: 10.1103/PhysRevA.111.032622

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.111.032622