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I lead the theory group at the ISI Quantum Foundation Complexity Science Initiative in Torino, the Italy. Department of Physics at the University of Malta.
My main contributions so far to the Azimuth Project can be found in the network theory series.
Degree Distribution in Quantum Walks on Complex Networks, with Mauro Faccin, Tomi Johnson, Sabre Kais and Piotr Migdał, Phys. Rev. X 3:041007 (2013).
A Course on Quantum Techniques for Stochastic Mechanics, with John C. Baez, arXiv:1209.3632 (2012).
Quantum Transport Enhancement by Time-Reversal Symmetry Breaking, with Zoltan Zimboras, Mauro Faccin, Zoltan Kadar, James Whitfield and Ben Lanyon, Scientific Reports 3:2361 (2013).
Quantum Frontiers in Network Science - workshop announcement @NetSci14, 2014.
Network Theory Part 20 - Dirichlet operators and the Perron–Frobenius theorem. Also available on Azimuth.
Network Theory Part 19 - an example of Noether’s theorem and the Anderson–Craciun–Kurtz theorem: a diatomic gas. Joint post with John Baez. Also available on Azimuth.
Network Theory Part 18 - reaction networks versus Petri nets; the deficiency zero theorem, Joint post with John Baez, Azimuth blog, 2011.
Network Theory Part 17 - reaction networks versus Petri nets; the deficiency zero theorem, Joint post with John Baez, Azimuth blog, 2011.
Network Theory Part 7 - a stochastic Petri net from population biology whose rate equation is the logistic equation; an equilibrium solution of the corresponding master equation, Azimuth blog, 2011.
Quantum techniques for stochastic mechanics, QIC 890/891 Selected Advanced Topics in Quantum Information, The University of Waterloo, Waterloo Ontario, Canada, (Spring term 2012).
Lectures on Tensor Network States, QIC 890/891 Selected Advanced Topics in Quantum Information, The University of Waterloo, Waterloo Ontario, Canada, (2011).
The following examples illustrate the Anderson-Craciun-Kurz theorem saying that ‘complex balanced’ equilibria of the chemical rate equation give equilibria of the master equation:
I also have other pages in progress:
Jacob Biamonte (homepage)