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Quantum Engineering Year 2: Advanced Quantum Science Month 35Day 958

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Year 2·Month 35·Week 1

Day 958: Dequantization & Classical Competition

Day 958 of 2,016~16 min read

Learning Objectives

•**Explain Tang's 2018 dequantization breakthrough** and its implications
•**Understand sampling and query access** models for classical algorithms
•**Identify when HHL loses its advantage** to classical methods
•**Analyze the structure required for quantum speedup**
•**Compare quantum-inspired vs genuine quantum algorithms**
•**Navigate the refined landscape** of quantum linear algebra advantage

Today's Schedule (7 hours)

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On this page

1 The Dequantization Revolution The Context 2 Sampling Access Model SQ Sample and Query Access SQ Access to Matrices 3 Tangs Algorithm Problem Matrix Inversion with Sampling Output Key Technique Randomized Linear Algebra 4 When Does Dequantization Apply Conditions for Classical Matching Formal Statement 5 The Structural Requirements HHL Still Wins When Genuine Quantum Advantage Scenarios 6 Quantum-Inspired Algorithms Key Examples Common Techniques 7 The Refined Landscape Updated Quantum Advantage Assessment 8 What Remains for HHL Genuine Applications The Right Problem for HHL 9 Complexity Landscape Summary

Day 957Day 958 of 2,016Day 959