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Quantum Speedup for Graph Sparsification, Cut Approximation and Laplacian Solving

Quantum Speedup for Graph Sparsification, Cut Approximation and Laplacian Solving

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Cut Approximation

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Cut Approximation

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Quantum Speedup for Graph Sparsification, Cut Approximation and Laplacian Solving

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  1. 1 Intro
  2. 2 Graph Sparsification
  3. 3 Spectral Sparsification
  4. 4 Our Contribution
  5. 5 Classical Sparsification Algorithm
  6. 6 Quantum Spanner Algorithm
  7. 7 Quantum Sparsification Algorithm
  8. 8 A Bootstrapping Trick
  9. 9 Matching Quantum Lower Bound
  10. 10 Cut Approximation
  11. 11 Laplacian Solving

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