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0.3 Learning Objectives 1. Introduction to Superposition • Qualitatively understand what it means for an object to be in a quantum superposition. • Identify the measurement outcome of a system in a classical vs. quantum superposition. Key Terms: quantum system, quantum state, quantum superposition 2. What is a Qubit? • Understand the difference between a classical bit and a qubit. • Write a mathematical expression for the superposition of a two-state particle using “ket” notation. • Compute the probability of finding the particle in a particular state given a normalized superposition state. • Express a qubits’ state as a vector and use matrix multiplication to change the state. Key Terms: qubit, ket notation, state amplitude, normalization, unitary matrix 3. Creating Superposition: Beam splitter • Explain how light behaves like a particle in the single-photon beam splitter experiment. • Understand how the beam splitter creates a particle in a superposition state. • Trace the path of light through a Mach-Zehnder interferometer from both a wave inter- ference and particle perspective. | 0.3 Learning Objectives 1. Introduction to Superposition • Qualitatively understand what it means for an object to be in a quantum superposition. • Identify the measurement outcome of a system in a classical vs. quantum superposition. Key Terms: quantum system, quantum state, quantum superposition 2. What is a Qubit? • Understand the difference between a classical bit and a qubit. • Write a mathematical expression for the superposition of a two-state particle using “ket” notation. • Compute the probability of finding the particle in a particular state given a normalized superposition state. • Express a qubits’ state as a vector and use matrix multiplication to change the state. Key Terms: qubit, ket notation, state amplitude, normalization, unitary matrix 3. Creating Superposition: Beam splitter • Explain how light behaves like a particle in the single-photon beam splitter experiment. • Understand how the beam splitter creates a particle in a superposition state. • Trace the path of light through a Mach-Zehnder interferometer from both a wave inter- ference and particle perspective. |
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