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## Iterated dynamical maps on a quantum computerAdd to your list(s) Download to your calendar using vCal - Professor Gerard J Milburn, The University of Queensland
- Wednesday 16 January 2008, 16:00-17:00
- Centre for Mathematical Sciences, Wilberforce Road, Lecture room MR5.
If you have a question about this talk, please contact Berry Groisman. I will discuss an alternative to simulating Hamiltonian flows with a quantum computer. A Hamiltonian system is a continuous time dynamical system represented as a flow of points in phase space. An alternative dynamical system, first introduced by Poincare, is defined in terms of an area preserving map. The dynamics is not continuous but discrete and successive dynamical states are labelled by integers rather than a continuous time variable. Discrete unitary maps are naturally adapted to the quantum computing paradigm. Grover’s algorithm, for example, is an iterated unitary map. In this talk I will discuss examples of nonlinear dynamical maps which are well adapted to simple ion trap quantum computers, including a transverse field Ising map, a non linear rotor map and a Jahn-Teller map. I will show how a good understanding of the quantum phase transitions and entanglement exhibited in these models can be gained by first describing the classical bifurcation structure of fixed points. This talk is part of the bg268's list series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsLife Sciences & Society Crucible/Microsoft HCI Reading Group EMBL-EBI Science and Society Programme## Other talksCANCELLED: The Loxbridge Triangle: Integrating the East-West Arch into the London Mega-region Regulators of Muscle Stem Cell Fate and Function Biosensor Technologies (Biacore SPR, Switchsense, Octet) Prof Kate Jones (UCL): Biodiversity & Conservation What quantum computers tell us about physics (even if no one ever builds one!) Modelling discontinuities in simulator output using Voronoi tessellations |