Abstract:
It is a common notion in classical mechanics that the result of a measurement
depends on the observable measured and the system in consideration. From
the measurement outcomes, it is possible to assign the pre-measurement state
of the system. But the same may not hold in quantum mechanics. Quantum
mechanics is known to be a contextual theory. We cannot assign the premeasurement
states from the measurement outcomes, and hence quantum
states can be contextual. We have done theoretical analysis and experimental
demonstration of quantum contextuality. I have studied Bell's inequality
and Kochen- Specker theorem. There are many forms of quantum contextuality.
We have demonstrated Peres contextuality experimentally. We have
taken a two spin half system to do the experiment. We have used a newly
discovered technique in NMR called Moussa protocol. The results are in
good accordance with the theory. We are also reporting continuously varying
contextual operators. Inequality for spin 1 particle is also studied, which
is called the pentagram inequality. Fully contextual quantum correlations
were also studied.
