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This lecture covers the phase sensitivity of different quantum states, including Twin-Fock and NOON states, Schrödinger cat states, and applications of quantum metrology. It also discusses the impact of decoherence on quantum metrology, projection noise in optical atomic clocks, and the use of spin-squeezed states in optical lattice clocks. The presentation concludes with a comparison of metrological gains in various systems and open questions for future research.