Affiliation:
1. Quantum Information Research Center Shangrao Normal University Shangrao Jiangxi 334001 China
2. Shaanxi Key Laboratory of Quantum Information and Quantum Optoelectronic Devices School of Physics of Xi'an Jiaotong University Xi'an 710049 China
3. School of Science Xi'an Polytechnic University Xi'an 710048 China
4. School of Physics Hangzhou Normal University Hangzhou Zhejiang 311121 China
Abstract
AbstractHigh‐dimensional quantum systems offer many advantages over low‐dimensional quantum systems. Meanwhile, unitary transformations on quantum states are important parts in various quantum information tasks, whereas they become technically infeasible as the dimensionality increases. The photonic orbital angular momentum (OAM), which is inherent in the transverse spatial mode of photons, offers a natural carrier to encode information in high‐dimensional spaces. However, it is even more challenging to realize arbitrary unitary transformations on the photonic OAM states. Here, by combining the path and OAM degrees of freedom of a single photon, an efficient scheme to realize arbitrary unitary transformations on the path‐OAM coupled quantum states is proposed. The proposal reduces the number of required interferometers by approximately one quarter compared with previous works, while maintaining the symmetric structure. It is shown that by using OAM‐to‐path interfaces, this scheme can be utilized to realize arbitrary unitary transformations on the OAM states of photons. This work facilitates the development of high‐dimension quantum state transformations and opens a new door to the manipulation of the photonic OAM states.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangxi Province
Subject
Condensed Matter Physics,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials