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The main focus of this thesis is to study the nonclassical and phaseproperties of a family of engineered quantum states, most of which show variousnonclassical features. The beauty of these states is that these states can beused to establish quantum supremacy. Earlier, a considerable amount of workshas been reported on various types of quantum states and their nonclassicalproperties. Here, complementing the earlier works, the effect ofnon-Gaussianity inducing operators on the nonclassical and phase properties ofdisplaced Fock states have been studied. This thesis includes 6 chapters. InChapter 1, motivation behind performing the present work is stated explicitly,also the basic concepts of quantum optics are discussed with a specificattention on the witnesses and measures of nonclassicality. In Chapter 2,nonclassical properties of photon added and subtracted displaced Fock stateshave been studied using various witnesses of lower- and higher-ordernonclassicality which are introduced in Chapter 1. In Chapter 3, we havecontinued our investigation on photon added and subtracted displaced Fockstates (and their limiting cases). In this chapter, quantum phase properties ofthese states are investigated from a number of perspectives, and it is shownthat the quantum phase properties are dependent on the quantum stateengineering operations performed. In Chapter 4, we have continued ourinvestigation on the impact of non-Gaussianity inducing operators on thenonclassical and phase properties of the displaced Fock states. In Chapter 5,we have performed a comparison between to process that are used in quantumstate engineering to induce nonclassical features. Finally, this thesis isconcluded in Chapter 6, where we have summarized the findings of this thesisand have also described scope of the future works.

An investigation on the nonclassical and quantum phase properties of a family of engineered quantum states