https://doi.org/10.1140/epjd/s10053-021-00243-z
Regular Article – Quantum Optics
Orbital angular momentum uncertainty relations of entangled two-photon states
1
Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, 210003, Nanjing, Jiangsu, People’s Republic of China
2
Key Lab of Broadband Wireless Communication and Sensor Network, Nanjing University of Posts and Telecommunications, 210003, Nanjing, Jiangsu, People’s Republic of China
3
National Laboratory of Solid State Microstructures, Nanjing University, 210093, Nanjing, People’s Republic of China
Received:
22
March
2021
Accepted:
10
August
2021
Published online:
17
August
2021
The inseparability of quantum correlation requires that the particles in the composite system be treated as a whole rather than treated separately, a typical example is the Einstein–Podolsky–Rosen (EPR) paradox. In this paper, we provide a theoretical study on the uncertainty relations of two kinds of bipartite observables in two-photon orbital angular momentum (OAM) entanglement, that is, the relative distance and centroid of the two photons at azimuth. We find that the uncertainty relations of the bipartite observables holds in any two-photon state, and they are separable in two-photon OAM entanglement. In addition, the entangled state behaves as a single particle in the bipartite representation. Finally, we find that the uncertainty relations of the bipartite observables can be used to manipulate the degree of the entanglement of an EPR state.
© The Author(s) 2021
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
