Sergey Savel'ev

Adiabatic quantum computing and quantum simulations of chemical reactions

Department of Physics, Loughborough University

Wed 2 May 2007, 14.00, W0.03

We map adiabatic quantum evolution on the classical Hamiltonian dynamics of a 1D gas (Pechukas gas) and simulate the latter numerically. This approach turns out to be both insightful and numerically efficient, as seen from our example of a CNOT gate simulation. For a general class of Hamiltonians we show that the escape probability from the initial state scales no faster than power law of the adiabaticity parameter. The scaling exponent for the escape probability is 1/2 for all levels, except the edge (bottom and top) ones, where it is less than 1/3. In principle, our method can solve arbitrarily large adiabatic quantum Hamiltonians.

As a possible useful example of adiabatic and quasi-adiabatic quantum computations, we propose to employ the electron redistribution in the coupled quantum dot systems for simulations of chemical reactions. The successful simulation of chemical and biological experiments will be of crucial importance because it can give recipes for optimal experimental regimes and conditions.

 

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