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Published on: November 11, 2013
Solving coupled non-linear schrödinger equations via quantum imaginary time evolution
Yang Hong Li1, Jim Al-Khalili1, Paul Stevenson1
1School of Mathematics and Physics, Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, GU2 7XH UK.
Abstract:
Coupled non-linear Schrödinger equations are crucial in describing dynamics of many-particle systems. We present a quantum imaginary time evolution (ITE) algorithm as a solution to such equations in the case of nuclear Hartree-Fock approach. Under a simplified Skyrme interaction model, we calculate the ground state energy of an oxygen-16 nucleus and demonstrate that the result is in agreement with the classical ITE algorithm. We examine bottlenecks and deficiencies in the quantum algorithm and suggest possible improvements.
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