Prime number factorization and degree of coherence of speckled light beams
We discover a connection between a Gauss sum of number theory and the degree of coherence (DOC) of the field in a transverse plane of structured speckled light beams. We theoretically demonstrate and experimentally validate that prime number factorization can be achieved by manipulating the source beam's DOC in Young's double-slit experiment. The determination of whether a number can be factored is based solely on the visibility of the resulting interference patterns. Our findings offer new insights into information encryption and decryption, data compression, etc.
Authors
- Tianyu Cao (ORCID: https://orcid.org/0000-0001-8592-7267)
- Chunhao Liang (ORCID: https://orcid.org/0000-0003-4346-705X)
- Yangjian Cai (ORCID: https://orcid.org/0000-0003-3440-7709)
- Qian Chen (ORCID: https://orcid.org/0000-0002-1909-302X)
- Xin Liu (ORCID: https://orcid.org/0009-0009-9523-0389)
- Sergey A. Ponomarenko (ORCID: https://orcid.org/0000-0003-1096-0120)
Institutions
- Dalhousie University (CA)
Publication Details
- Journal
- Optics Letters
- Published
- 2024-09-03
- DOI
- https://doi.org/10.1364/ol.537537
- Citations
- 5
- Primary Topic
- Random lasers and scattering media
- Type
- article
- Field-Weighted Citation Impact
- 1.39
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shandong Province
- Taishan Scholar Foundation of Shandong Province
- Natural Sciences and Engineering Research Council of Canada
- National Key Research and Development Program of China