A Tale of Turing Machines, Quantum-Entangled Particles, and Operator Algebras

A Tale of Turing Machines, Quantum-Entangled Particles, and Operator Algebras

Simons Institute via YouTube Direct link

Intro

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1 of 22

Intro

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A Tale of Turing Machines, Quantum-Entangled Particles, and Operator Algebras

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  1. 1 Intro
  2. 2 Theory of Computing
  3. 3 The 1930s
  4. 4 The EPR paradox (1935)
  5. 5 A nonlocal game
  6. 6 The genesis of operator algebras
  7. 7 A zoo of algebras
  8. 8 A mysterious animal
  9. 9 A universal machine and unsolvable problem
  10. 10 Verifying vs finding proofs
  11. 11 The proofs revolution
  12. 12 Verifying proofs interactively
  13. 13 The power of interactivity
  14. 14 Probabilistic checking of proofs
  15. 15 Interactive proofs and entanglement
  16. 16 The complexity of entanglement
  17. 17 An unexpected connection
  18. 18 A candidate algorithm
  19. 19 The proof (from a thousand miles away)
  20. 20 The many facets of MIP* = RE
  21. 21 A Frequently Asked Question
  22. 22 A parable

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