Quantum Simulations Using NMR Quantum Processor

Abstract

Quantum simulations are theorized to be much more e cient than the classical simulations. In this thesis,we tried to simulate(quantum mechanically) two di erent problems - 1)The statistical properties of "quantum chaos" in kicked rotor system are studied and numerically simulated.All the simulations are done using 8-qubits on MATLAB. 2)Franck-Condon factors (FCFs) play an important role in understanding many vibronic transitions occurring during molecular photoexcitations.In this article, we describe two general methods for estimating FCFs using a quantum information processor. We also illustrate the methods by experimentally estimating FCFs with the help of a three-qubit NMR quantum information processor.We were also able to show quantum tunneling as a byproduct of estimating FCFs.As can be seen in the corresponding section,the experimental results are in really good agreement with the theory.