Cel 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. Dziedzina nauki natural sciencesphysical sciencesquantum physicsnatural sciencesmathematicspure mathematicstopologysymplectic topologyengineering and technologyelectrical engineering, electronic engineering, information engineeringelectronic engineeringcomputer hardwarequantum computersnatural sciencesmathematicspure mathematicstopologyalgebraic topologynatural sciencesmathematicspure mathematicsgeometry Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-2012-IOF - Marie Curie Action: "International Outgoing Fellowships for Career Development" Zaproszenie do składania wniosków FP7-PEOPLE-2012-IOF Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IOF - International Outgoing Fellowships (IOF) Koordynator UNIVERSITY OF BRISTOL Wkład UE € 282 561,00 Adres BEACON HOUSE QUEENS ROAD BS8 1QU Bristol Zjednoczone Królestwo Zobacz na mapie Region South West (England) Gloucestershire, Wiltshire and Bristol/Bath area Bristol, City of Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Audrey Michael (Mrs.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych