Direct measurement of nonlocal quantum states without approximation

doi:10.1088/1674-1056/acf5d7

Abstract Efficient acquiring information from a quantum state is important for research in fundamental quantum physics and quantum information applications. Instead of using standard quantum state tomography method with reconstruction algorithm, weak values were proposed to directly measure density matrix elements of quantum state. Recently, similar to the concept of weak value, modular values were introduced to extend the direct measurement scheme to nonlocal quantum wavefunction. However, this method still involves approximations, which leads to inherent low precision. Here, we propose a new scheme which enables direct measurement for ideal value of the nonlocal density matrix element without taking approximations. Our scheme allows more accurate characterization of nonlocal quantum states, and therefore has greater advantages in practical measurement scenarios.

Keywords: direct measurement quantum tomography nonlocal quantum state

Received: 11 August 2023
Revised: 31 August 2023
Accepted manuscript online: 01 September 2023

PACS:	03.65.Wj	(State reconstruction, quantum tomography)
	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by National Key Research and Development Program of China (Grant No. 2019YFA0705000) and the National Natural Science Foundation of China (Grant No. 11974178).

Corresponding Authors: Yan-Xiao Gong
E-mail: gongyanxiao@nju.edu.cn

Cite this article:

Gang Yang(杨冈), Ran Yang(杨然), Yan-Xiao Gong(龚彦晓), and Shi-Ning Zhu(祝世宁) Direct measurement of nonlocal quantum states without approximation 2023 Chin. Phys. B 32 110306

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