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.
