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Quantum Engineering Year 1: Quantum Mechanics Core Month 14Day 383

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Year 1·Month 14·Week 3

Day 383: Coherent States — The Most Classical Quantum States

Day 383 of 2,016~17 min read

Learning Objectives

•Define coherent states as eigenstates of the annihilation operator
•Expand coherent states in the Fock basis with Poissonian statistics
•Prove that coherent states are minimum uncertainty states
•Construct coherent states using the displacement operator
•Analyze the time evolution of coherent states
•Connect coherent states to laser light and quantum optics

Today's Schedule (7 hours)

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On this page

1 Definition of Coherent States 2 Expansion in Fock Basis 3 Poisson Distribution 4 Expectation Values and Uncertainty Position and Momentum Means Uncertainties 5 The Displacement Operator Derivation using BCH Formula 6 Time Evolution 7 Non-Orthogonality and Overcompleteness Non-Orthogonality Overcompleteness Resolution of Identity 8 Quantum Computing Connection Quantum Optics Bosonic Codes Laser Light Cat States Continuous-Variable Quantum Computing

Day 382Day 383 of 2,016Day 384