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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Barbensi, A
Rannpháirtithe:	Lackenby, M
Formáid:	Tráchtas
Teanga:	English
Foilsithe / Cruthaithe:	2020
Ábhair:	proteins entanglement Applied topology DNA topology low-dimensional topology

Míreanna comhchosúla

Topological Entanglement and Knots
de réir: Sergey Mironov
Foilsithe / Cruthaithe: (2019-02-01)

Topology for trees and curves: theory and applications
de réir: Beers, D
Foilsithe / Cruthaithe: (2023)

Topological entanglement entropy for torus-knot bipartitions and the Verlinde-like formulas
de réir: Chih-Yu Lo, et al.
Foilsithe / Cruthaithe: (2024-02-01)

Topologically protected entangled photonic states
de réir: Wang Michelle, et al.
Foilsithe / Cruthaithe: (2019-05-01)

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

Topologically Protected Polarization Quantum Entanglement on a Photonic Chip
de réir: Yao Wang, et al.
Foilsithe / Cruthaithe: (2022-03-01)

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

Bridging fermionic and bosonic short range entangled states
de réir: Yi-Zhuang You, et al.
Foilsithe / Cruthaithe: (2015-01-01)

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

Topological protection of continuous frequency entangled biphoton states
de réir: Jiang Zhen, et al.
Foilsithe / Cruthaithe: (2021-11-01)

Explorations in topology : map coloring, surfaces, and knots /
de réir: 356568 Gay, David
Foilsithe / Cruthaithe: (2006)

Knot theory, from past to present
de réir: Eaman Eftekhary
Foilsithe / Cruthaithe: (2024-05-01)

Non-local order parameters and quantum entanglement for fermionic topological field theories
de réir: Kansei Inamura, et al.
Foilsithe / Cruthaithe: (2020-01-01)

Role of Supercoiling and Topoisomerases in DNA Knotting
de réir: Jorge Cebrián, et al.
Foilsithe / Cruthaithe: (2024-05-01)

Bell’s inequality and entanglement in qubits
de réir: Po-Yao Chang, et al.
Foilsithe / Cruthaithe: (2017-09-01)

Perturbative 2-body parent Hamiltonians for projected entangled pair states
de réir: Courtney G Brell, et al.
Foilsithe / Cruthaithe: (2014-01-01)

Contact topology and the structure and dynamics of cholesterics
de réir: Thomas Machon
Foilsithe / Cruthaithe: (2017-01-01)

Entanglement in BF theory. Part I. Essential topological entanglement
de réir: Jackson R. Fliss, et al.
Foilsithe / Cruthaithe: (2025-01-01)

Symmetry-protected adiabatic quantum transistors
de réir: Dominic J Williamson, et al.
Foilsithe / Cruthaithe: (2015-01-01)

Inverse-designed dielectric cloaks for entanglement generation
de réir: Miguel-Torcal Alberto, et al.
Foilsithe / Cruthaithe: (2022-08-01)

Seifert fibered spaces: triangulation and recognition
de réir: Jackson, A
Foilsithe / Cruthaithe: (2023)

Entanglement Phase Transitions in Non-Hermitian Kitaev Chains
de réir: Longwen Zhou
Foilsithe / Cruthaithe: (2024-03-01)

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

Geometric entanglement in the Laughlin wave function
de réir: Jiang-Min Zhang, et al.
Foilsithe / Cruthaithe: (2017-01-01)

Creation of electrical knots and observation of DNA topology
de réir: Tian Chen, et al.
Foilsithe / Cruthaithe: (2021-01-01)

Entanglement branes in a two-dimensional string theory
de réir: William Donnelly, et al.
Foilsithe / Cruthaithe: (2017-09-01)

Topological reconstruction and compactification theory
de réir: Pitz, M, et al.
Foilsithe / Cruthaithe: (2015)

Parametrized knot theory/
de réir: 187737 Ocken, Stanley
Foilsithe / Cruthaithe: (1976)

Explorations in topology : map coloring, surfaces, and knots /
de réir: 356568 Gay, David (David Andrew)
Foilsithe / Cruthaithe: (2013)

Entanglement entropy, quantum fluctuations, and thermal entropy in topological phases
de réir: Yuting Hu, et al.
Foilsithe / Cruthaithe: (2019-05-01)

Topology now! /
de réir: 238212 Messer, Robert, et al.
Foilsithe / Cruthaithe: (2006)

Topology for computing /
de réir: Zomorodian, Afra J., 1974-
Foilsithe / Cruthaithe: (2005)

On the L2-torsion of the figure-of-eight knot complement
de réir: Teo, Joven Jia Xuan
Foilsithe / Cruthaithe: (2022)

Layer entanglement in multiplex, temporal multiplex, and coupled multilayer networks
de réir: Blaž Škrlj, et al.
Foilsithe / Cruthaithe: (2020-11-01)

Entanglement of valence-bond-solid state models on topological surfaces
de réir: Wuttichai Pankeaw, et al.
Foilsithe / Cruthaithe: (2022-08-01)

Topological order on the Bloch sphere
de réir: Rotem Liss, et al.
Foilsithe / Cruthaithe: (2020-01-01)

Dimension theory/
de réir: 174573 Engelking, Ryszard
Foilsithe / Cruthaithe: (1978)

Dimension theory/
de réir: 428409 Hurewicz, Witold, et al.
Foilsithe / Cruthaithe: (1969)

Dimension theory of general spaces/
de réir: 174631 Pears, A. R.
Foilsithe / Cruthaithe: (1975)

Topological susceptibility near Tc in SU(3) gauge theory
de réir: Guang-Yi Xiong, et al.
Foilsithe / Cruthaithe: (2016-01-01)