EPSRC Reference: 
EP/F014945/1 
Title: 
Quantum Computation: Foundations, Security, Cryptography and Group Theory 
Principal Investigator: 
Duncan, Dr A 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematics and Statistics 
Organisation: 
Newcastle University 
Scheme: 
Standard Research 
Starts: 
18 June 2008 
Ends: 
17 December 2011 
Value (£): 
275,403

EPSRC Research Topic Classifications: 
Algebra & Geometry 
Fundamentals of Computing 
New & Emerging Comp. Paradigms 


EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 
Panel Date  Panel Name  Outcome 
04 Sep 2007

ICT Prioritisation Panel (Technology)

Announced


Summary on Grant Application Form 
Quantum computation is based on computers which operate on the level of quantum mechanics rather than classical electronics. The advantage of this is that in quantum mechanics entities can be simultaneously in many different positions at once: and this allows states of a quantum computer to behave in some ways like a stack of parallel states. This parallel stack does not unfortunately come without strings and, because of the physics of quantum mechanics, it is very difficult to find out what is in any such stack at a particular time: so reading the output of a quantum computer is not easy. Some powerful quantum algorithms have been developed: for example by Shor to factor integers much faster than convential algorithms can. However the number of such algorithms that we know is not growing very rapidly. One reason for this is that we do not have a systematic understanding of how to build up quantum computing algorithms and indeed do not have a comprehensive library of algorithms for very basic functions and procedures for building from them. The main aims of this project are to construct such a systematic foundation for quantum computation and to establish procedures for basic processes.We shall test our success in these objectives by attempting to construct algorithms for problems which arise in group theory. This area of mathematics provides an endless array of algorithmic problems at all levels of difficulty, so is a good test bed for a potential computation system. We shall also consider how to extend the analysis of cryptographic systems from classical schemes to quantum schemes. In particular this is expected to allow us to build an automated voting process which cannot be tampered with or broken into, by the people who run it.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


Sectors submitted by the Researcher 
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Project URL: 

Further Information: 

Organisation Website: 
http://www.ncl.ac.uk 