Quantum Supremacy Using a Programmable Superconducting Processor I

Explore a comprehensive lecture on quantum supremacy and its demonstration using a programmable superconducting processor. Delve into topics such as random circuit sampling complexity, XE benchmarking for fidelity estimation, and the Sycamore Processor's capabilities. Learn about the quantum supremacy experiment, including data analysis and the Schrodinger-Feynman hybrid simulation. Examine quantum science results and the use of hydrogen chain benchmarking for device evaluation. Gain insights into the latest advancements in quantum computing and their implications for future technological developments.

Intro
Demonstrating quantum supremacy
Sampling vs. estimating probabilities
Random circuit sampling (RCS) complexity
XE benchmarking (fidelity estimation)
XEB for large systems
XEB and concentration of measure large sys
Estimating fidelity with XEB
XEB observable or p (fidelity) estimator
Numerical checks for concentration of measure
XEB algorithm (Quantum supremacy experiment)
Sycamore Processor: 54 qubits, 196 control knobs
Sycamore Processor: 54 qubits, 196 controlk
Low Errors using Fast 2-Qubit Gates (12 ns)
Quantum Supremacy Data
Schrodinger-Feynman Hybrid simulation
Quantum Science Results
Hydrogen chain to benchmark out device