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Quantum Engineering Year 2: Advanced Quantum Science Month 33Day 900

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Year 2·Month 33·Week 1

Day 900: Single-Qubit Gates

Day 900 of 2,016~19 min read

Learning Objectives

•**Derive** the rotating-frame Hamiltonian for driven transmon qubits
•**Design** microwave pulses for X, Y, and arbitrary rotation gates
•**Implement** DRAG corrections to suppress leakage to higher levels
•**Describe** calibration protocols: Rabi, Ramsey, DRAG calibration
•**Explain** virtual-Z gates and their advantages
•**Calculate** gate fidelities and identify error sources

Today's Schedule (7 hours)

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On this page

1 Qubit Control Hamiltonian 2 Resonant Rabi Oscillations 3 X Y and Z Rotations 4 Pulse Shapes 5 DRAG Pulse Correction 6 Gate Calibration Protocols 7 Pulse Duration and Bandwidth 8 Virtual-Z Gates 9 Composite Pulses 10 Gate Fidelity Metrics Quantum Computing Applications High-Fidelity Gates for Error Correction Pulse-Level Programming Optimal Control

Day 899Day 900 of 2,016Day 901