TOP-ANYON-ENT

"Complex Topology, Anyons, and Entanglement"

Coordinatore	UNIVERSITY OF BRISTOL    more  Organization address address: TYNDALL AVENUE SENATE HOUSE city: BRISTOL postcode: BS8 1TH contact info Titolo: Mrs. Nome: Audrey Cognome: Michael Email: send email Telefono: +44 117 3317371
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	282˙561 €
EC contributo	282˙561 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2012-IOF
Funding Scheme	MC-IOF
Anno di inizio	2013
Periodo (anno-mese-giorno)	2013-10-01   -   2016-09-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	UNIVERSITY OF BRISTOL  Organization address address: TYNDALL AVENUE SENATE HOUSE city: BRISTOL postcode: BS8 1TH contact info Titolo: Mrs. Nome: Audrey Cognome: Michael Email: send email Telefono: +44 117 3317371	UK (BRISTOL)	coordinator	282˙561.00

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 Obiettivo del progetto (Objective)

'Topology and geometry are of fundamental importance in quantum physics. This proposal concerns applications of recent developments in topology and geometry to outstanding problems in condensed matter physics and quantum information theory. The first aim is to lay the foundations for the understanding of the influence of complex topology, which gives rise to generalized anyon statistics, on many-particle transport properties on networks, on entanglement of many-particle network states, and on topological quantum computing. The second aim is application of recent results on symplectic geometry and equivariant cohomology to the description and classification of quantum entanglement, the central concept in quantum information theory. The proposed research is multidisciplinary. On the mathematics side, it involves combinatorial graph theory, algebraic topology, cohomology of quotients and homogenous spaces. On the physics side, it concerns fundamental open problems in quantum many-body physics and quantum information theory. It is also very timely. The recent results on anyons on graphs may lead to new phenomena in quantum transport on networks, for example, generalizations of the integer and fractional quantum Hall effects. They can also provide new developments in topological quantum computing, especially in the topological quantum error correcting codes such as Kitaev's toric code. The distinguishing feature of the proposal is the unusual combination of methods, techniques and people involved. The research will be conducted in two world leading scientific institutions: Department of Physics, Massachusetts Institute of Technology and School of Mathematics of University of Bristol.'