High-dimensional quantum Fourier transform of twisted light
arXiv:2101.11919 · doi:10.1103/PhysRevA.104.012413
Abstract
The Fourier transform proves indispensable in the processing of classical information as well as in the quantum domain, where it finds many applications ranging from state reconstruction to prime factoring. An implementation scheme of the -dimensional Fourier transform acting on single photons is known that uses the path encoding and requires optical elements. In this paper we present an alternative design that uses the orbital angular momentum as a carrier of information and needs only elements, rendering the path-encoded design inefficient. The advantageous scaling and the fact that our approach uses only conventional optical elements allows for the implementation of a 256-dimensional Fourier transform with the existing technology. Improvements to our design, as well as explicit setups for low dimensions, are also presented.
arXiv comment18 pages, 9 figures; section on losses added, section on higher-oam subspaces expanded
References in corpus (29)
- Quantum computational advantage using photons
- Boson Sampling on a Photonic Chip
- On mutually unbiased bases
- Experimental Boson Sampling
- Twisted Photons: New Quantum Perspectives in High Dimensions
- Laguerre-Gaussian mode sorter
- Efficient separation of the orbital angular momentum eigenstates of light
- Efficient and mode selective spatial mode multiplexer based on Multi-Plane Light Conversion
- 18-qubit entanglement with photon's three degrees of freedom
- Experimental Quantum Cryptography with Qutrits
- Generation and Confirmation of a (100x100)-dimensional entangled Quantum System
- Influence of Atmospheric Turbulence on Optical Communications using Orbital Angular Momentum for Encoding
- Quantum entanglement of angular momentum states with quantum numbers up to 10010
- Fourier relationship between angular position and optical orbital angular momentum
- High-dimensional quantum gates using full-field spatial modes of photons
- Characterization of high-dimensional entangled systems via mutually unbiased measurements
- Near-Perfect Sorting of Orbital Angular Momentum and Angular Position States of Light
- Vector Vortex Beam Emitter Embedded in a Photonic Chip
- Robust architecture for programmable universal unitaries
- Mapping Twisted Light into and out of a Photonic Chip
- Generation of high-order optical vortices using directly machined spiral phase mirrors
- Multiphoton interference in quantum Fourier transform circuits and applications to quantum metrology
- Custom-tailored spatial mode sorting by controlled random scattering
- Quantum Multiplexing with the Orbital Angular Momentum of light
- Arbitrary d-dimensional Pauli X-Gates of a flying Qudit
- Sorting quantum systems efficiently
- Quantum circuit for the fast Fourier transform
- A quantum router for high-dimensional entanglement
- Fourier Transform of the Orbital Angular Momentum of a Single Photon