Objective We aim to pursue studies in the areas of randomised, approximate, and quantum computation. Our investigations will cover novel and enhanced methods for the design and analysis of efficient randomised and quantum algorithms for problems of measurement and communication theory, which are totally intractable by existing methods.We aim to pursue studies in the areas of randomised, approximate, and quantum computation. Our investigations will cover novel and enhanced methods for the design and analysis of efficient randomised and quantum algorithms for problems of measurement and communication theory, which are totally intractable by existing methods.OBJECTIVES1. To examine the foundations of randomised, approximate and quantum computation.2. To obtain new improved methods for the design and analysis of efficient randomised and quantum algorithms for problems particularly in the areas of optimisation, measurement and communications.3. To understand what are the basic characteristics of a problem, which make it impossible to even obtain good approximate answers.DESCRIPTION OF WORKWe intend to carry out the following programme:1. To study at the fundamental level the power of randomised versus quantum computation; particularly with reference to approximate computation. A major focus of our work will be the Hidden Subgroup problem, which seems to be a key separator between random/quantum computation. The other main problem will be to relate the quantum class BQP with the classical (Turing) hierarchy.2. To obtain improved faster or better approximation algorithms for key benchwork problems of optimisation and measurement. Members of the Bonn and Paris groups have already developed fast (polynomial time) good approximation schemes for a range of problems, which have certain "nice features". It is hoped to extend these ideas to other technical problems, which do not have these properties.3. To apply the techniques developed to a selection of practical problems in biological science and communications. In order to achieve this we hope to combine the expertise developed in constructing and analysing protocols by the Edinburgh and Bonn groups with the practical know-how developed in Oxford and Lund to obtain practical algorithms, which are based on theory rather than the existing ad hoc methods. Fields of science natural sciencesbiological sciences Programme(s) FP5-IST - Programme for research, technological development and demonstration on a "User-friendly information society, 1998-2002" Topic(s) 1.1.2.-8.2 - Concerted actions and thematic networks Call for proposal Data not available Funding Scheme THN - Thematic network contracts Coordinator THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD EU contribution No data Address UNIVERSITY OFFICES, WELLINGTON SQUARE OX1 2JD OXFORD United Kingdom See on map Total cost No data Participants (6) Sort alphabetically Sort by EU Contribution Expand all Collapse all LUNDS UNIVERSITET Sweden EU contribution No data Address PARADISGATAN 5C 221 00 LUND See on map Total cost No data RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAET BONN Germany EU contribution No data Address REGINA-PACIS-WEG 3 53113 BONN See on map Total cost No data THE UNIVERSITY OF EDINBURGH United Kingdom EU contribution No data Address OLD COLLEGE, SOUTH BRIDGE EH8 9YL EDINBURGH See on map Total cost No data THE WEIZMANN INSTITUTE OF SCIENCE Israel EU contribution No data Address HERZEL STREET 2 76100 REHOVOT See on map Total cost No data UNIVERSITE DE PARIS XI PARIS-SUD France EU contribution No data Address 15, RUE GEORGES CLEMENCEAU 91405 ORSAY CEDEX See on map Total cost No data UNIVERSITY OF LEEDS United Kingdom EU contribution No data Address WOODHOUSE LANE LS2 9JT LEEDS See on map Total cost No data