论文标题

玻色粒系统的有效测量方案

Efficient measurement schemes for bosonic systems

论文作者

Gu, Tianren, Yuan, Xiao, Wu, Bujiao

论文摘要

玻色子是最基本的颗粒类型之一,并保留了换向关系。测量骨气系统的一种有效方法不仅对于基于量子的量子计算机上的模拟玻色子(例如核)的复杂物理现象的重要性很重要,而且对于从量子模拟器/计算机中提取经典信息本身是用玻色子构建的(例如连续可变量子计算机)。扩展了最近提出的针对Qubits的测量方案,例如阴影断层扫描和其他局部测量方案,我们在这里研究了玻色粒系统的有效测量方法。 我们考虑截短的Qudit和连续变量系统,分别与离散量子计算机和固有的玻色子系统上的模拟玻色子相对应,并通过对这两种情况的方差进行理论分析提出了不同的测量方案。我们通过数值测试方案,用于测量使用离散量子计算机和连续可变的高斯状态模拟的核振动,并且与传统方法相比,模拟结果显示了所提出方法的性能的大大改善。

Boson is one of the most basic types of particles and preserves the commutation relation. An efficient way to measure a bosonic system is important not only for simulating complex physics phenomena of bosons (such as nuclei) on a qubit based quantum computer, but for extracting classical information from a quantum simulator/computer that itself is built with bosons (such as a continuous variable quantum computer). Extending the recently proposed measurement schemes for qubits, such as shadow tomography and other local measurement schemes, here we study efficient measurement approaches for bosonic systems. We consider truncated qudit and continuous variable systems, corresponding to simulated bosons on a discrete quantum computer and an inherent boson system, respectively, and propose different measurement schemes with theoretical analyses of the variances for these two cases. We numerically test the schemes for measuring nuclei vibrations simulated using a discrete quantum computer and a continuous variable Gaussian state, and the simulation results show great improvement of the performance of the proposed method compared to conventional ones.

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