Knot theory and entanglement in biopolymers

Knot theory and entanglement in biopolymers

This thesis is divided into two parts, each summarising one of the main projects I have undertaken since the beginning of my DPhil. In the first project, we study the graph associated to a knot K, whose vertices are diagrams representing K, and edges represent single Reidemeister moves. We prove tha...

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Bibliografiske detaljer
Hovedforfatter:	Barbensi, A
Andre forfattere:	Lackenby, M
Format:	Thesis
Sprog:	English
Udgivet:	2020
Fag:	proteins entanglement Applied topology DNA topology low-dimensional topology

Lignende værker

Topological Entanglement and Knots
af: Sergey Mironov
Udgivet: (2019-02-01)

Topology for trees and curves: theory and applications
af: Beers, D
Udgivet: (2023)

Topological entanglement entropy for torus-knot bipartitions and the Verlinde-like formulas
af: Chih-Yu Lo, et al.
Udgivet: (2024-02-01)

Topologically protected entangled photonic states
af: Wang Michelle, et al.
Udgivet: (2019-05-01)

Algorithmic Topology and Classification of 3-Manifolds [electronic resources]: /
af: 401774 Matveev, Sergei, et al.
Udgivet: (2007)

Topologically Protected Polarization Quantum Entanglement on a Photonic Chip
af: Yao Wang, et al.
Udgivet: (2022-03-01)

Phase transition and dynamics of qubits in coupled-cavity arrays with nonlinear topological photonics
af: Mei-Song Wei, et al.
Udgivet: (2023-02-01)

Bridging fermionic and bosonic short range entangled states
af: Yi-Zhuang You, et al.
Udgivet: (2015-01-01)

Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
af: James de Lisle, et al.
Udgivet: (2014-01-01)

Topological protection of continuous frequency entangled biphoton states
af: Jiang Zhen, et al.
Udgivet: (2021-11-01)

Explorations in topology : map coloring, surfaces, and knots /
af: 356568 Gay, David
Udgivet: (2006)

Knot theory, from past to present
af: Eaman Eftekhary
Udgivet: (2024-05-01)

Non-local order parameters and quantum entanglement for fermionic topological field theories
af: Kansei Inamura, et al.
Udgivet: (2020-01-01)

Perturbative 2-body parent Hamiltonians for projected entangled pair states
af: Courtney G Brell, et al.
Udgivet: (2014-01-01)

Bell’s inequality and entanglement in qubits
af: Po-Yao Chang, et al.
Udgivet: (2017-09-01)

Contact topology and the structure and dynamics of cholesterics
af: Thomas Machon
Udgivet: (2017-01-01)

Role of Supercoiling and Topoisomerases in DNA Knotting
af: Jorge Cebrián, et al.
Udgivet: (2024-05-01)

Entanglement in BF theory. Part I. Essential topological entanglement
af: Jackson R. Fliss, et al.
Udgivet: (2025-01-01)

Symmetry-protected adiabatic quantum transistors
af: Dominic J Williamson, et al.
Udgivet: (2015-01-01)

Inverse-designed dielectric cloaks for entanglement generation
af: Miguel-Torcal Alberto, et al.
Udgivet: (2022-08-01)

Entanglement Phase Transitions in Non-Hermitian Kitaev Chains
af: Longwen Zhou
Udgivet: (2024-03-01)

Seifert fibered spaces: triangulation and recognition
af: Jackson, A
Udgivet: (2023)

Geometric entanglement in the Laughlin wave function
af: Jiang-Min Zhang, et al.
Udgivet: (2017-01-01)

Theory of sets and topology in honour of Felix Hausforff (1868-1942)/
af: 181185 Asser, Gunter, et al.
Udgivet: (1972)

Creation of electrical knots and observation of DNA topology
af: Tian Chen, et al.
Udgivet: (2021-01-01)

Entanglement branes in a two-dimensional string theory
af: William Donnelly, et al.
Udgivet: (2017-09-01)

Topological reconstruction and compactification theory
af: Pitz, M, et al.
Udgivet: (2015)

Parametrized knot theory/
af: 187737 Ocken, Stanley
Udgivet: (1976)

Entanglement entropy, quantum fluctuations, and thermal entropy in topological phases
af: Yuting Hu, et al.
Udgivet: (2019-05-01)

Explorations in topology : map coloring, surfaces, and knots /
af: 356568 Gay, David (David Andrew)
Udgivet: (2013)

Topology now! /
af: 238212 Messer, Robert, et al.
Udgivet: (2006)

Topology for computing /
af: Zomorodian, Afra J., 1974-
Udgivet: (2005)

Layer entanglement in multiplex, temporal multiplex, and coupled multilayer networks
af: Blaž Škrlj, et al.
Udgivet: (2020-11-01)

Entanglement of valence-bond-solid state models on topological surfaces
af: Wuttichai Pankeaw, et al.
Udgivet: (2022-08-01)

Topological order on the Bloch sphere
af: Rotem Liss, et al.
Udgivet: (2020-01-01)

On the L2-torsion of the figure-of-eight knot complement
af: Teo, Joven Jia Xuan
Udgivet: (2022)

Dimension theory/
af: 174573 Engelking, Ryszard
Udgivet: (1978)

Dimension theory of general spaces/
af: 174631 Pears, A. R.
Udgivet: (1975)

Dimension theory/
af: 428409 Hurewicz, Witold, et al.
Udgivet: (1969)

Topological susceptibility near Tc in SU(3) gauge theory
af: Guang-Yi Xiong, et al.
Udgivet: (2016-01-01)