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Quantum Engineering Year 2: Advanced Quantum Science Month 26Day 713

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Year 2·Month 26·Week 2

Day 713: Quantum Advantage and the Limits of Simulation

Day 713 of 2,016~12 min read

Learning Objectives

•**Synthesize** the role of non-Clifford resources in quantum advantage
•**Explain complexity classes** relevant to quantum computing (BQP, BPP, PH)
•**Describe quantum supremacy** experiments and their significance
•**Analyze** what makes quantum simulation hard classically
•**Connect** Gottesman-Knill to the broader landscape of quantum advantage
•**Identify** the ingredients necessary for quantum speedups

Today's Schedule (7 hours)

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On this page

1 Synthesizing Week 102 Sources of Quantum Power What Weve Learned The Complete Picture 2 Complexity Classes Classical and Quantum Classes The Central Questions Evidence for Quantum Advantage 3 The Quantum Advantage Landscape Three Ingredients for Speedup The Gottesman-Knill Barrier 4 Quantum Supremacy Experiments Google Sycamore 2019 Technical Details Classical Competition 5 Why Specific Circuits Are Hard Random Circuit Sampling IQP Instantaneous Quantum Polynomial BosonSampling 6 The Role of Noise Noise Kills Quantum Advantage Error Correction Restores It The NISQ Era 7 What Quantum Computers Cant Do Limitations BQP All Hard Problems 8 Summary The Quantum Advantage Picture

Day 712Day 713 of 2,016Day 714