69 citations · 346 across the 31 of their papers we have counts for
7 papers · 1 filter
Knotted optical fields: Seifert fibrations, braided open books and topological constraints
Annalisa Marzuoli, Nicola Sanna
This paper presents a novel framework for studying knotted and braided configurations of optical fields, moving beyond the conventional Hopfion solution based on the Hopf fibration…
Projective Ponzano-Regge spin networks and their symmetries
Vincenzo Aquilanti, Annalisa Marzuoli
We present a novel hierarchical construction of projective spin networks of the Ponzano-Regge type from an assembling of five quadrangles up to the combinatorial 4-simplex compatib…
Fault-tolerant mosaic encoding in knot-based cryptography
Annalisa Marzuoli, Giandomenico Palumbo
The cryptographic protocol based on topological knot theory,recently proposed by the authors, is improved for what concerns the efficiency of the encoding of knot diagrams and its…
Post Quantum Cryptography from Mutant Prime Knots
Annalisa Marzuoli, Giandomenico Palumbo
By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connec…
Braiding and entanglement in spin networks: a combinatorial approach to topological phases
Zoltan Kadar, Annalisa Marzuoli, Mario Rasetti
The spin network quantum simulator relies on the su(2) representation ring (or its q-deformed counterpart at q= root of unity) and its basic features naturally include (multipartit…
Conformal modes in simplicial quantum gravity and the Weil-Petersson volume of moduli space
Mauro Carfora, Annalisa Marzuoli
Our goal here is to present a detailed analysis connecting the anomalous scaling properties of 2D simplicial quantum gravity to the geometry of the moduli space M_{g,N} of genus g…
Moduli space intersection duality between Regge surfaces and 2D dynamical triangulations
Mauro Carfora, Annalisa Marzuoli, Paolo Villani
Deformation theory for 2-dimensional dynamical triangulations with N vertices is discussed by exploiting the geometry of the moduli space of Euclidean polygons. Such an analysis pr…