High-dimensional Fourier transform of twisted light Article Swipe
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 $d$-dimensional Fourier transform acting on single photons is known that uses the path encoding and requires $O(d \log d)$ optical elements. In this paper we present an alternative design that uses the orbital angular momentum as a carrier of information and needs only $O(\sqrt{d}\log d)$ 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.
Related Topics
Concepts
Fourier transform
Fractional Fourier transform
Scaling
Quantum Fourier transform
Computer science
Prime (order theory)
Algorithm
Physics
Optics
Quantum information
Mathematics
Quantum
Fourier analysis
Geometry
Quantum mechanics
Quantum network
Combinatorics
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://export.arxiv.org/pdf/2101.11919
- OA Status
- green
- Cited By
- 1
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3124296953
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3124296953Canonical identifier for this work in OpenAlex
- Title
-
High-dimensional Fourier transform of twisted lightWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-01-28Full publication date if available
- Authors
-
Jaroslav KyselaList of authors in order
- Landing page
-
https://export.arxiv.org/pdf/2101.11919Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://export.arxiv.org/pdf/2101.11919Direct OA link when available
- Concepts
-
Fourier transform, Fractional Fourier transform, Scaling, Quantum Fourier transform, Computer science, Prime (order theory), Algorithm, Physics, Optics, Quantum information, Mathematics, Quantum, Fourier analysis, Geometry, Quantum mechanics, Quantum network, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2021: 1Per-year citation counts (last 5 years)
- Related works (count)
-
20Other works algorithmically related by OpenAlex
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