~/talk

Non-Local Binary Games With Noisy Epr States Are Decidable

Talkat Quantum Protocols: Testing & Quantum PCPs · 2020-03-30..04-02
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slides:none on file

Shows that the value of non-local binary games where players share noisy EPR states is decidable by giving an explicit finite bound on how many noisy copies suffice to approximate the optimum to any precision; the bound depends only on the precision, not the game size, so brute-force search becomes effective. Construction uses Pauli-basis Fourier expansion, smoothing via the depolarizing channel, Gaussian replacement and dimensional reduction, rounding to POVMs and a noncommutative invariance principle plus hypercontractivity.

AI-written summary · about

  1. 0:00Intro
  2. 2:34Classical non-local games
  3. 3:57Quantum non-local games
  4. 7:05Binary games with noisy EPR states
  5. 8:51High level of the proofs
  6. 15:58Fourier expansion
  7. 17:38Constructions
  8. 29:54Quantum invariance principle
  9. 38:34Quantum hypercontractive inequality
  10. 40:27Future directions & open problems
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