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This lecture examines quantum supremacy, focusing on proposed random quantum-circuit sampling experiments and the difficulty of simulating their output classically. It also introduces fault tolerance, quantum error correction, and complexity-theoretic arguments related to quantum advantage.
Syllabus
Intro
Fault Tolerance
Error Correcting Codes
Quantum Threshold Theorem
Caveats
Quantum Error Correction
Quantum Supremacy Plan
What do we feel
Random unitary matrix
KL divergence
Uniform distribution
What are they thinking
Another difficulty
Cross entropy difference
Taught by
Ryan O'Donnell