论文标题

纯粹的状态断层扫描与傅立叶变换

Pure State Tomography with Fourier Transformation

论文作者

Wang, Yu, Li, Keren

论文摘要

从量子设备中提取信息一直是量子力学领域的关键问题。通过执行精心设计的测量,量子状态断层扫描是量子科学和技术的重要且基本的工具,可用于完全确定未知的量子状态。在这项研究中,我们探讨了确定多Qubit纯量子状态的方法。提出了两种自适应方案,以及它们各自的量子电路。本文中,两个或三个可观察到的东西足够,而测量结果的数量与现有方法中的测量结果相同或少。此外,对IBM 5 Quit量子计算机以及数值研究的实验证明了该协议的可行性。

Extracting information from quantum devices has long been a crucial problem in the field of quantum mechanics. By performing elaborate measurements, quantum state tomography, an important and fundamental tool in quantum science and technology, can be used to determine unknown quantum states completely. In this study, we explore methods to determine multi-qubit pure quantum states uniquely and directly. Two adaptive protocols are proposed, with their respective quantum circuits. Herein, two or three observables are sufficient, while the number of measurement outcomes is either the same as or fewer than those in existing methods. Additionally, experiments on the IBM 5-qubit quantum computer, as well as numerical investigations, demonstrate the feasibility of the proposed protocols.

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