Calculating HOMFLY-PT polynomials on a photonic processor
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917658509705216 |
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| author | Dyakonov, Ivan Kondratyev, Ilya Mironov, Sergey Morozov, Andrey |
| author_facet | Dyakonov, Ivan Kondratyev, Ilya Mironov, Sergey Morozov, Andrey |
| contents | In this paper we discuss an approach to calculate knot polynomials on a photonic processor. Calculations of knot polynomials is a computationally difficult problem and therefore it is interesting to use new advanced calculation methods to find them. Here we present a proof of concept by calculating the simplest knot polynomial of the trefoil knot in fundamental representation. This approach, however, can easily be generalized to more complex knots and representations. Same operators can also be realized on a quantum computer with the same effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03645 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Calculating HOMFLY-PT polynomials on a photonic processor Dyakonov, Ivan Kondratyev, Ilya Mironov, Sergey Morozov, Andrey Quantum Physics High Energy Physics - Theory In this paper we discuss an approach to calculate knot polynomials on a photonic processor. Calculations of knot polynomials is a computationally difficult problem and therefore it is interesting to use new advanced calculation methods to find them. Here we present a proof of concept by calculating the simplest knot polynomial of the trefoil knot in fundamental representation. This approach, however, can easily be generalized to more complex knots and representations. Same operators can also be realized on a quantum computer with the same effect. |
| title | Calculating HOMFLY-PT polynomials on a photonic processor |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.03645 |