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Information and Randomness in Quantum Theory

Objective

Quantum information science is one of the most dynamic and exciting areas of science today, its significance ranging from the ultimate physical limits of information processing, to fundamental issues of quantum mechanics, to new mathematics and prospects of realising novel, enhanced computation and communication
technologies.
Drawing on ideas from physics, mathematics and computer science, one of the core programmes of this highly interdisciplinary field is to understand and harness quantum mechanics in terms of information theory.
Past steps in this programme include Shor's quantum factoring algorithm, quantum cryptography, and the creation of quantum Shannon and entanglement theory. Dramatic recent developments, while opening up exciting new avenues, at the same time pose major challenges: the proof that quantum capacities can be non-additive showed that the landscape of quantum Shannon theory is actually much richer than previously envisaged; the information theory of generalized non-locality pointed out a completely new take on the foundations of quantum mechanics; and mathematical tools such as the probabilistic method have had a major impact across the board from entanglement theory to quantum Shannon theory and statistical mechanics.
In the proposed research I will address key current open questions in quantum Shannon theory, including long-standing coding problems, and a deeper understanding of the pervasive non-additivity of quantum capacities; develop probabilistic tools directly related to quantum information; find new entropy inequalities and entropic uncertainty relations; characterise entanglement and non-local correlations in information theoretic terms; and realise an ambitious programme of founding statistical mechanics on generic quantum dynamics.

Field of science

  • /natural sciences/mathematics
  • /natural sciences/physical sciences/classical mechanics/statistical mechanics
  • /natural sciences/computer and information sciences/data science/data processing
  • /natural sciences/physical sciences/quantum physics
  • /social sciences/media and communications/information science

Call for proposal

ERC-2010-AdG_20100224
See other projects for this call

Funding Scheme

ERC-AG - ERC Advanced Grant

Host institution

UNIVERSIDAD AUTONOMA DE BARCELONA
Address
Calle Campus Universitario Sn Cerdanyola V
08290 Cerdanyola Del Valles
Spain
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 265 993
Principal investigator
Andreas Winter (Prof.)
Administrative Contact
Alejandra Campos (Ms.)

Beneficiaries (2)

UNIVERSIDAD AUTONOMA DE BARCELONA
Spain
EU contribution
€ 1 265 993
Address
Calle Campus Universitario Sn Cerdanyola V
08290 Cerdanyola Del Valles
Activity type
Higher or Secondary Education Establishments
Principal investigator
Andreas Winter (Prof.)
Administrative Contact
Alejandra Campos (Ms.)
UNIVERSITY OF BRISTOL
United Kingdom
EU contribution
€ 174 126
Address
Beacon House Queens Road
BS8 1QU Bristol
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Vince Boyle (Mr.)