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Quantum Engineering Year 2: Advanced Quantum Science Month 33Day 901

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Year 2·Month 33·Week 1

Day 901: Two-Qubit Gates

Day 901 of 2,016~19 min read

Learning Objectives

•**Explain** the cross-resonance (CR) gate mechanism for fixed-frequency qubits
•**Derive** the effective Hamiltonian for capacitively coupled transmons
•**Describe** CZ gates implemented via flux tuning
•**Analyze** iSWAP and parametric gate implementations
•**Calculate** ZZ coupling strength and its impact on gate fidelity
•**Compare** different two-qubit gate approaches and their tradeoffs

Today's Schedule (7 hours)

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On this page

1 Capacitive Coupling Between Transmons 2 Effective Qubit-Qubit Coupling 3 Cross-Resonance Gate 4 Controlled-Z CZ Gate 5 iSWAP Gate 6 Always-On ZZ Coupling 7 Tunable Couplers 8 Parametric Gates 9 Gate Fidelity Considerations 10 Gate Decomposition Quantum Computing Applications Scaling Challenges Error Correction Requirements Current Architectures

Day 900Day 901 of 2,016Day 902