Search
Now showing items 1-10 of 11
Tutte polynomials and topological quantum algorithms in social network analysis for epidemiology, bio-surveillance and bio-security
(SPRINGER, 2008-01-01)
The Tutte polynomial and the Aharonov-Arab-Ebal-Landau algorithm are applied to Social Network Analysis (SNA) for Epidemiology, Biosurveillance and Biosecurity. We use the methods of Algebraic Computational SNA and of ...
Topological and geometrical quantum computation in cohesive Khovanov homotopy type theory
(SPIE-INT SOC OPTICAL ENGINEERING, 2015-05-21)
The recently proposed Cohesive Homotopy Type Theory is exploited as a formal foundation for central concepts in Topological and Geometrical Quantum Computation. Specifically the Cohesive Homotopy Type Theory provides a ...
Possible universal quantum algorithms for generalized Khovanov homology and the Rasmussen's invariant
(SPIE-INT SOC OPTICAL ENGINEERING, 2012-01-01)
Possible quantum algorithms for generalized Khovanov homology and the Rasmussen's invariant are proposed. Such algorithms are resulting from adaptations of the recently proposed Kauffmans` algorithm for the standard Khovanov ...
Topological quantum computation of the Dold-Thom functor
(SPIE-INT SOC OPTICAL ENGINEERING, 2014-05-22)
A possible topological quantum computation of the Dold-Thom functor is presented. The method that will be used is the following: a) Certain 1+1-topological quantum field theories valued in symmetric bimonoidal categories ...
Possible universal quantum algorithms for generalized Turaev-Viro invariants
(SPIE-INT SOC OPTICAL ENGINEERING, 2011-01-01)
An emergent trend in quantum computation is the topological quantum computation (TQC). Briefly, TQC results from the application of quantum computation with the aim to solve the problems of quantum topology such as topological ...
Possible topological quantum computation via khovanov homology: D-brane topological quantum computer
(SPIE-INT SOC OPTICAL ENGINEERING, 2009-01-01)
A model of a D-Brane Topological Quantum Computer (DBTQC) is presented and sustained. The model isbased on four-dimensional TQFTs of the Donaldson-Witten and Seiber-Witten kinds. It is argued that the DBTQC is able to ...
Gravitational topological quantum computation
(SPRINGER, 2007-01-01)
A new model in topological quantum computing, named Gravitational Topological Quantum Computing (GTQC), is introduced as an alternative respect to the Anyonic Topological Quantum Computing and DNA Computing. In the new ...
Quantum algorithms for virtual Jones polynomials via thistlethwaite theorems
(SPIE-INT SOC OPTICAL ENGINEERING, 2010-01-01)
Recently a quantum algorithm for the Jones polynomial of virtual links was proposed by Kauffman and Dye via the implementation of the virtual braid group in anyonic topological quantum computation when the virtual crossings ...
Two qutrits universal quantum gates from the nine-dimensional unitary solutions of the Yang-Baxter equation
(SPIE-INT SOC OPTICAL ENGINEERING, 2007-04-25)
Using the Kauffman-Lomonaco method, some two-qutrits universal quantum gates are derived from the nine-dimensional unitary solutions of the Yang-Baxter equations associated with algebraic structures like the partial transpose ...
Possible quantum algorithm for the Lipshitz-Sarkar-Steenrod square for Khovanov homology
(SPIE-INT SOC OPTICAL ENGINEERING, 2013-01-01)
Recently the celebrated Khovanov Homology was introduced as a target for Topological Quantum Computation given that the Khovanov Homology provides a generalization of the Jones polynomal and then it is possible to think ...
