Direct measurement of nonlocal quantum states without approximation

doi:10.1088/1674-1056/acf5d7

中国物理B ›› 2023, Vol. 32 ›› Issue (11): 110306-110306.doi: 10.1088/1674-1056/acf5d7

Direct measurement of nonlocal quantum states without approximation

Gang Yang(杨冈), Ran Yang(杨然), Yan-Xiao Gong(龚彦晓)^†, and Shi-Ning Zhu(祝世宁)

National Laboratory of Solid State Microstructure, School of Physics and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

收稿日期:2023-08-11 修回日期:2023-08-31 接受日期:2023-09-01 出版日期:2023-10-16 发布日期:2023-11-03
通讯作者: Yan-Xiao Gong E-mail:gongyanxiao@nju.edu.cn
基金资助:
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).

Direct measurement of nonlocal quantum states without approximation

Gang Yang(杨冈), Ran Yang(杨然), Yan-Xiao Gong(龚彦晓)^†, and Shi-Ning Zhu(祝世宁)

National Laboratory of Solid State Microstructure, School of Physics and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

Received:2023-08-11 Revised:2023-08-31 Accepted:2023-09-01 Online:2023-10-16 Published:2023-11-03
Contact: Yan-Xiao Gong E-mail:gongyanxiao@nju.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: direct measurement, quantum tomography, nonlocal quantum state

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.

Key words: direct measurement, quantum tomography, nonlocal quantum state

中图分类号: (State reconstruction, quantum tomography)

03.65.Wj

03.65.Ud (Entanglement and quantum nonlocality) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

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[J]. 中国物理B, 2023, 32(11): 110306-110306.

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[J]. Chin. Phys. B, 2023, 32(11): 110306-110306.

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Direct measurement of nonlocal quantum states without approximation

Direct measurement of nonlocal quantum states without approximation

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