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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Barbensi, A
Awduron Eraill:	Lackenby, M
Fformat:	Traethawd Ymchwil
Iaith:	English
Cyhoeddwyd:	2020
Pynciau:	proteins entanglement Applied topology DNA topology low-dimensional topology

Eitemau Tebyg

Topological Entanglement and Knots
gan: Sergey Mironov
Cyhoeddwyd: (2019-02-01)

Topology for trees and curves: theory and applications
gan: Beers, D
Cyhoeddwyd: (2023)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Seifert fibered spaces: triangulation and recognition
gan: Jackson, A
Cyhoeddwyd: (2023)

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

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

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

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

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

Topological reconstruction and compactification theory
gan: Pitz, M, et al.
Cyhoeddwyd: (2015)

Parametrized knot theory/
gan: 187737 Ocken, Stanley
Cyhoeddwyd: (1976)

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

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

Topology now! /
gan: 238212 Messer, Robert, et al.
Cyhoeddwyd: (2006)

Topology for computing /
gan: Zomorodian, Afra J., 1974-
Cyhoeddwyd: (2005)

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

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

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

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

Dimension theory/
gan: 174573 Engelking, Ryszard
Cyhoeddwyd: (1978)

Dimension theory/
gan: 428409 Hurewicz, Witold, et al.
Cyhoeddwyd: (1969)

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

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