Sampling-Based Sublinear Low-Rank Matrix Arithmetic Framework for Dequantizing Quantum Machine Learning

Sampling-Based Sublinear Low-Rank Matrix Arithmetic Framework for Dequantizing Quantum Machine Learning

Association for Computing Machinery (ACM) via YouTube Direct link

Landscape: exponential speedups in quantum machine learning

2 of 9

2 of 9

Landscape: exponential speedups in quantum machine learning

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Sampling-Based Sublinear Low-Rank Matrix Arithmetic Framework for Dequantizing Quantum Machine Learning

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  1. 1 Intro
  2. 2 Landscape: exponential speedups in quantum machine learning
  3. 3 Main result: quantum-inspired classical SVT
  4. 4 Preliminaries
  5. 5 Oversampling and query access
  6. 6 SQ has block-encoding-like composition properties
  7. 7 Reducing dimensionality to access matrix products
  8. 8 Main theorem: even singular value transformation
  9. 9 Final thoughts

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