Time-Frequency Entangled Two-Photon States and Measurements
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Date
2022-10-04
Authors
Merkouche, Sofiane
Journal Title
Journal ISSN
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Publisher
University of Oregon
Abstract
Quantum entanglement is arguably the one feature that decisively distinguishes quantum from classical physics, and thus plays a crucial role both in understanding the fundamental nature of reality, and in providing advantages over classical protocols in the most promising applications of quantum physics. Pairs of photons entangled in the various degrees of freedom of the light field are readily available and well-studied as a platform for quantum fundamentals and applications. However, the inherently multimode nature of optical entanglement has yet to be fully explored and harnessed, particularly when it comes to quantum measurements which project onto entangled states. In this dissertation we describe a proof-of-principle experiment which takes advantage of the high-dimensional time-energy entanglement of photons to herald a multitude of Bell states. In addition, we give a theoretical model for using the nonlinear optical effect of sum-frequency generation to implement projective measurements onto high-dimensional entangled states, and propose an experimental platform to test some of the key features of this model. The work presented here serves as an important step to complete the toolkit for using high-dimensional entanglement for quantum information science.