Skip to main content
European Commission logo print header

Randomized and Approximate Computation

Obiettivo

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.

OBJECTIVES
1. 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 WORK
We 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.

Invito a presentare proposte

Data not available

Meccanismo di finanziamento

THN - Thematic network contracts

Coordinatore

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Contributo UE
Nessun dato
Indirizzo
UNIVERSITY OFFICES, WELLINGTON SQUARE
OX1 2JD OXFORD
Regno Unito

Mostra sulla mappa

Costo totale
Nessun dato

Partecipanti (6)