| EPSRC Reference: |
GR/R78404/01 |
| Title: |
Analysis and Control of Quantum Systems - Measurement, Filtering and Decoherence |
| Principal Investigator: |
Gough, Professor JE |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Computing & Mathematics |
| Organisation: |
Nottingham Trent University |
| Scheme: |
Fast Stream |
| Starts: |
02 December 2002 |
Ends: |
01 December 2004 |
Value (£): |
52,854
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Mathematical Physics |
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| EPSRC Industrial Sector Classifications: |
| Communications |
No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Describe the proposed research in about 200 words.We propose to develop a mathematical framework for problems in quantum control. The motivation comes from several developments in quantum stochastic processes, quantum stochastic limits, quantum white noise analysis, and decoherence. Working with a postdoctoral student, we wish to give a systematic derivation of the Schrodinger-Belavkin equation as a quantum stochastic limit of a physically realizable model. We wish to investigate several new features - measurement schemes leading to Levy noise, shemes for measuring non-commuting systems variables, etc. We also wish to study current mathematical inconsistencies reported about the real-time and the long-time descriptions of quantum noise in decoherence phenomena.The project will draw on the expertise of Prof. J. Kupsch (an expert in decoherence and mathematical descriptions of open quantum systems) and his collaborator Prof. O.G. Smolianov (an expert in infinite dimensional analysis, who has recently worked on the path-integral formulation of continuous monitoring and Belavkin's equation): they shall be invited for a combined 5 month period as visiting fellows. We wish to develop a new quantum white noise analysis in which the Stratonovich-Ito conversion comes about by normal-ordering; preliminary investigations show that this gives a very powerful and direct treatment of quantum feedback systems.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.ntu.ac.uk |