Quantum Field Theory Seminar
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Tue, 22/04/2008 12:00 |
David Hoyle (Manchester) |
Quantum Field Theory Seminar  |
L3 |
| Modern molecular biology research produces data on a massive scale. This data is predominantly high-dimensional, consisting of genome-wide measurements of the transcriptome, proteome and metabalome. Analysis of these data sets often face the additional problem of having small sample sizes, as experimental data points may be difficult and expensive to come by. Many analysis algorithms are based upon estimating the covariance structure from this high-dimensional small sample size data, with the consequence that the eigenvalues and eigenvectors of the estimated covariance matrix are markedly different from the true values. Techniques from statistical physics and Random Matrix Theory allow us to understand how these discrepancies in the eigenstructure arise, and in particular locate the phase transition points where the eigenvalues and eigenvectors of the estimated covariance matrix begin to genuinely reflect the underlying biological signals present in the data. In this talk I will give a brief non-specialist introduction to the biological background motivating the work and highlight some recent results obtained within the statistical physics approach. | |||
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Tue, 06/05/2008 12:00 |
Daniel Burgarth |
Quantum Field Theory Seminar |
L3 |
| We demonstrate a scheme for controlling a large quantum system by acting on a small subsystem only. The local control is mediated to the larger system by some fixed coupling Hamiltonian. The scheme allows to transfer arbitrary and unknown quantum states from a memory to the large system ("upload access") as well as the inverse ("download access"). We give sufficient conditions of the coupling Hamiltonian for the controllability of the system which can be checked efficiently by a colour-infection game on the graph that describes the couplings. | |||
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Tue, 20/05/2008 12:00 |
Jacek Brodzki (Southampton) |
Quantum Field Theory Seminar |
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Tue, 27/05/2008 12:00 |
Roberto Trotta (Astrophysics) |
Quantum Field Theory Seminar |
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