This presentation first reviews the historical development of the field of nonlinear optics, starting from its inception in 1961. It then reviews some of its more recent developments, including especially how nonlinear optics has become a crucial tool for the developing field of quantum technologies. Fundamental quantum processes enabled by nonlinear optics, such as the creation of squeezed and entangled light states, are reviewed. We then illustrate these concepts by means of specific applications, such as the development of secure communication systems based on the quantum states of light.
Quantum state abstraction is a crucial step in harnessing the power of quantum computation. This research focuses on developing a novel algorithmic framework to translate complex quantum states into simplified representations, facilitating efficient exploration and algorithm development. The core mechanism involves a mapping process that transforms intricate quantum states into readily usable representations. We propose a method predicated on simplifying the representation of quantum data, offering a significant advancement over existing approaches. The resulting simplified representations will enable more targeted and efficient exploration of quantum data, ultimately bolstering the progress of quantum algorithm development.