Quantum knots and mosaics

DOI10.1007/s11128-008-0076-7zbMath1144.81013OpenAlexW2073393217MaRDI QIDQ941708

Louis H. Kauffman, S. J. jun. Lomonaco

Publication date: 2 September 2008

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-008-0076-7

zbMATH Keywords

Quantum computationQuantum algorithmsKnot theoryKnotsQuantum knotsQuantum vortices

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Quantum computation (81P68)

Related Items (33)

Quantum knot mosaics and the growth constant ⋮ An Introduction to Khovanov Homology ⋮ Dimer coverings of 1-slab cubic lattices ⋮ Geography of Legendrian knot mosaics ⋮ Tile number and space-efficient knot mosaics ⋮ Knot mosaic tabulation ⋮ Maximal independent sets on a grid graph ⋮ AN INFINITE FAMILY OF KNOTS WHOSE MOSAIC NUMBER IS REALIZED IN NON-REDUCED PROJECTIONS ⋮ On upper bounds for toroidal mosaic numbers ⋮ Majorana Fermions and representations of the braid group ⋮ Mosaics and Virtual Knots ⋮ Space-efficient knot mosaics for prime knots with mosaic number 6 ⋮ Braiding and Majorana fermions ⋮ Signed mosaic graphs and alternating mosaic number of knots ⋮ Domino tilings of the expanded Aztec diamond ⋮ Topological quantum information, virtual Jones polynomials and Khovanov homology ⋮ State matrix recursion method and monomer-dimer problem ⋮ Topological aspects of quantum entanglement ⋮ Enumerating independent vertex sets in grid graphs ⋮ Braiding, Majorana fermions, Fibonacci particles and topological quantum computing ⋮ THE LOMONACO–KAUFFMAN CONJECTURE ⋮ Mirror-curves and knot mosaics ⋮ A celtic framework for knots and links ⋮ Upper bound on the total number of knot n-mosaics ⋮ Mosaic number of knots ⋮ Quantum knots and the number of knot mosaics ⋮ Crossing number bounds in knot mosaics ⋮ Virtual mosaic knot theory ⋮ Hexagonal mosaic links generated by saturation ⋮ The Unknotting Problem ⋮ Growth rate of quantum knot mosaics ⋮ Period and toroidal knot mosaics ⋮ Enumeration on graph mosaics

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