Results 11 to 20 of about 120,659 (273)
Knots, links, and long-range magic
Journal of High Energy Physics, 2021 We study the extent to which knot and link states (that is, states in 3d Chern-Simons theory prepared by path integration on knot and link complements) can or cannot be described by stabilizer states. States which are not classical mixtures of stabilizer
Jackson R. Fliss
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Virtual mosaic knot theory [PDF]
Journal of Knot Theory and Its Ramifications, 2020 Mosaic diagrams for knots were first introduced in 2008 by Lomanoco and Kauffman for the purpose of building a quantum knot system. Since then, many others have explored the structure of these knot mosaic diagrams, as they are interesting objects of study in their own right.
Sandy Ganzell, Allison Henrich
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Quantum Reports, 2022 We recently proposed that topological quantum computing might be based on SL(2,C) representations of the fundamental group π1(S3\K) for the complement of a link K in the three-sphere.
Michel Planat +3 more
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Knots and Knot-Hyperpaths in Hypergraphs
Mathematics, 2022 This paper deals with some theoretical aspects of hypergraphs related to hyperpaths and hypertrees. In ordinary graph theory, the intersecting or adjacent edges contain exactly one vertex; however, in the case of hypergraph theory, the adjacent or ...
Saifur Rahman +3 more
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Computation of Gordian distances and H2-Gordian distances of knots [PDF]
Yugoslav Journal of Operations Research, 2015 One of the most complicated problems in Knot theory is to compute unknotting number. Hass, Lagarias and Pippenger proved that the unknotting problem is NP hard.
Zeković Ana
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Developing the tube theory for polymer knots
Physical Review Research, 2020 Entanglements make polymers fundamentally different from other molecules and thus are a major theme in polymer physics research. Interchain entanglements have been extensively investigated in past decades, while intrachain entanglements, often appearing ...
Liang Dai
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Generalized Circuit Topology of Folded Linear Chains
iScience, 2020 Summary: A wide range of physical systems can be formally mapped to a linear chain of sorted objects. Upon introduction of intrachain interactions, such a chain can “fold” to elaborate topological structures, analogous to folded linear polymer systems ...
Anatoly Golovnev, Alireza Mashaghi
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Knot topology of exceptional point and non-Hermitian no-go theorem
Physical Review Research, 2022 Exceptional points (EPs) are peculiar band singularities and play a vital role in a rich array of unusual optical phenomena and non-Hermitian band theory.
Haiping Hu, Shikang Sun, Shu Chen
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From a reversible code to the quantum one: R-matrix
EPJ Web of Conferences, 2018 This research has been carried out in collaboration with D.Melnikov, A.Mironov, A.Morozov and An.Morozov. We study the relation between quantum programming and knot theory.
Mironov S.
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Knot theory, from past to present [PDF]
ریاضی و جامعهIn this paper, which is the first paper from a trio on important developments of low dimensional topology in the past 100 years, we review the history and major developments in knot theory.
Eaman Eftekhary
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