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Quantum Engineering Year 2: Advanced Quantum Science Month 28Day 781

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Year 2·Month 28·Week 4

Day 781: Hardware-Efficient Codes

Day 781 of 2,016~19 min read

Learning Objectives

•**Explain cat code encoding** using coherent state superpositions
•**Analyze GKP codes** and their grid-state structure in phase space
•**Calculate error suppression** in biased-noise environments
•**Design bias-preserving gates** for asymmetric noise channels
•**Evaluate hardware-code matching** for different qubit technologies
•**Visualize bosonic states** using Wigner functions

Today's Schedule (7 hours)

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On this page

1 Why Hardware-Efficient Codes 2 Cat Codes Coherent States Two-Component Cat States Encoding Error Model Engineered Dissipation Kerr-Cat 3 GKP Codes Ideal GKP States Stabilizers Error Correction Finite-Energy GKP States 4 Biased-Noise Codes XZZX Surface Code Repetition Code for Pure Z-Noise 5 Bias-Preserving Gates Bias-Preserving Clifford Gates Cat Code Gates 6 Hardware-Code Matching Superconducting Qubits Trapped Ions Neutral Atoms Photonics 7 Concatenation with Bosonic Codes Quantum Mechanics Connection Phase Space Quantum Mechanics Quantum Optics Connection

Day 780Day 781 of 2,016Day 782