Mathematical & Quantum Computation

Members of the Mathematical & Quantum Computation cluster undertake research in 

• Computational algebra (Joshua Maglione, Götz Pfeiffer, Tobias Rossmann) 

• Quantum Computing (Mark Howard, Michael McGetrick) 

• Scientific Computing (Niall Madden) 

• Quantum Information Theory is a framework for understanding the quantum nature of the universe and how to exploit this nature for new information-processing capabilities. Quantum Computation is concerned with constructing algorithms using sequences of unitary operations on quan tum states. Current work includes algebraic techniques in the development and analysis of quantum algorithms,  game theory techniques extended to the quantum domain, quantum error-correction and fault-tolerance, and quantum foundations.  
  
  
• Research in Computational Algebra includes the analysis, design, implementation, and application of algorithms for performing symbolic computations related to algebraic structures. As a service to the mathematical community, various open-source software packages and databases are being developed and maintained.
    
• Research in Scientific Computing  involves the development and implementation of algorithms for solving partial differential equations and large linear systems, and applications of these to problems in engineering and medicine. 

Members: Mark Howard, Niall Madden, Michael McGettrick, Joshua Maglione, Götz Pfeiffer, Tobias Rossmann.