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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences quantum physics
- natural sciences mathematics pure mathematics topology symplectic topology
- engineering and technology electrical engineering, electronic engineering, information engineering electronic engineering computer hardware quantum computers
- natural sciences mathematics pure mathematics topology algebraic topology
- natural sciences mathematics pure mathematics discrete mathematics graph theory
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2012-IOF
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
BS8 1QU BRISTOL
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.