Bulletin of the American Physical Society
APS March Meeting 2014
Volume 59, Number 1
Monday–Friday, March 3–7, 2014; Denver, Colorado
Session P1: Poster Session III (11:15 - 14:30 - DPOLY, DCP, DBIO, GSNP)
Wednesday, March 5, 2014
Room: Exhibit Hall F
Abstract ID: BAPS.2014.MAR.P1.256
Abstract: P1.00256 : Quantum physics and complex networks*
Preview Abstract Abstract
There is a widely used and successful theory of ``chemical reaction networks,'' which provides a framework describing systems governed by mass action kinetics. Computer science and population biology use the same ideas under a different name: ``stochastic Petri nets.'' But if we look at these theories from the perspective of quantum theory, they turn out to involve creation and annihilation operators, coherent states and other well-known ideas---yet in a context where probabilities replace amplitudes. I will explain this connection as part of a detailed analogy between quantum mechanics and stochastic mechanics which we've produced several results on recently [1, 2, 3], including the recent analytical results uniting quantum physics and complex networks . Our general idea is about merging concepts from quantum physics and complex network theory [1, 2, 3, 4] to provide a bidirectional bridge between both disciplines.\\[4pt]  Quantum Techniques for Stochastic Mechanics, 235 pages, arXiv:1209.3632 (2012);\\[0pt]  Degree Distribution in Quantum Walks on Complex Networks, Phys. Rev. X 3, 041007 (2013);\\[0pt]  Quantum Transport Enhancement by Time-Reversal Symmetry Breaking, Sci. Rep. 3, 2361 (2013);\\[0pt]  Community Detection in Quantum Complex Networks, arXiv:1310.6638 (2013).
*Support is acknowledged from the Foundational Questions Institute (FQXi) and the Compagnia di San Paolo Foundation.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2014.MAR.P1.256
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