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The Power of Random Quantum Circuits - Bill Fefferman
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- 1 Intro
- 2 What do we mean by "classically intractable"?
- 3 What do we mean by "classical simulation" algorithm?
- 4 Proof first step: from sampling to computing
- 5 Formal statement of q. supremacy conjecture
- 6 Roadmap for the rest of talk
- 7 Average case hardness for Permanent [Lipton '91]
- 8 [BFNV18]: Hardness for Random Quantum Circuits
- 9 First attempt at adapting Lipton's proof
- 10 Extensions to [BFNV'19]
- 11 Understanding hardness of noisy random quantum circuits BFLL'21
- 12 Similar hardness arguments work with noise!
- 13 But there's also a (trivial) classical algorithm!
- 14 The "noise barrier" to improving robustness
- 15 Future directions regarding RCS
