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

Abstract

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

Thesis submitted in fulfilment of the requirements for the Ph.D. degree. Nonclassical and phase properties of a family of engineered quantum states are studied to establish quantum supremacy

References in corpus (12)

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• A computable measure of nonclassicality for light
• Multiphoton Quantum Optics and Quantum State Engineering
• Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission
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• Phase Diffusion in Quantum Dissipative Systems
• Phase diffusion pattern in quantum nondemolition systems
• Engineering superpositions of displaced number states of a trapped ion
• Lower- and higher-order nonclassicality in a Bose-condensed optomechanical-like system and a Fabry-Perot cavity with one movable mirror: squeezing, antibunching and entanglement
• Nonclassicality in non-degenerate hyper-Raman processes