Work

Calculating HOMFLY-PT polynomials on a photonic processor

Year: 2025

Type: article

Abstract: In this paper, we discuss an approach to calculate knot polynomials on a photonic processor. Calculation of knot polynomials is a computationally difficult problem, and therefore it is interesting to use new, to the best of our knowledge, 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.

Source: Optics Letters

DOI: 10.1364/ol.546177

Authors: Ivan Dyakonov, Ilya Kondratyev, Sergey Mironov, Andrey Morozov

Institutions: Russian Academy of Sciences, Moscow Institute of Physics and Technology, Kurchatov Institute, Institute for Information Transmission Problems

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G7299913095