Studies of Some Quantum Systems from Quantum Information Theoretical Perspective

Mandal, Sanmoy (2015) Studies of Some Quantum Systems from Quantum Information Theoretical Perspective. Masters thesis, Indian Institute of Science Education and Research Kolkata.

PDF (MS dissertation of Sanmoy Mandal (10MS38)) Sanmoy_Mandal-10MS38.pdf - Submitted Version Restricted to Repository staff only Download (512kB)

Abstract

Of late, several theoretical and experimental works have been reported demonstrating the joint weak value of two observables by restricting the coupling strength to the second order. In this paper, we provide a rigorous treatment of joint weak measurement for all order of coupling, which allows us to reveal several hitherto unexplored features. We find that the joint weak value for the measurements of two observables can be extracted for any strength of the coupling. We explored this issue for the discrete and continuous variable pointer states. The implication of our all order coupling analysis is discussed in terms of the Hardy paradox. In the second chapter we have shown calculation of the analytical solution of the shannon information entropy of compass state in both position and momentum space. As a consequence we find out that the total information entropy and individual entropy depend on both shifting parameter and width of the Gaussian wavefunctions associated with the state.Also in the analysis involves digamma function and the gaussian depend both only on shifting parameter and width of the Gaussian wavefunctions. We thoroughly studied the variation of various entropies for different values of parameters associated with Gaussian distribution.

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