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This lecture covers the research areas of analog and digital quantum computing, quantum enhanced measurements, quantum chemistry, quantum optimal control, and quantum error correction. It delves into the historical development of quantum jumps, the cooling of atoms with light, and the experiments with isolated subatomic particles. The presentation also discusses the advancements in quantum computer technologies, the challenges in achieving fault-tolerant quantum computing, and the IARPA LogiQ program. The lecture explores the types of trapped ion quantum bits, interactions in linear ion strings, and the encoding and readout of optical ion qubits. It also touches upon entangling gates mediated via ion motion, the spectrum of a cold ion in a trap, and the integration of optics in quantum computing.