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Haar-random unitaries
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Classroom Contents
Random Quantum Circuits, Phase Transitions and Complexity - Aram Harrow
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- 1 Intro
- 2 Complexity of random quantum circuits
- 3 random circuit sampling Conjecture
- 4 This talk
- 5 Haar-random unitaries
- 6 Is Haar really necessary?
- 7 Pseudo-random unitaries
- 8 Applications of designs
- 9 1-d random circuits depth T
- 10 random circuits in D=2,3,...
- 11 General geometries
- 12 Proof of D=1 result
- 13 low-depth circuits
- 14 tensor contraction in 1-D
- 15 simulating 2-D circuits
- 16 cheaper tensor contraction
- 17 Approximate simulation
- 18 Does the algorithm work?
- 19 random tensor networks
- 20 Open questions
