Validated Quantum Advantage via Bell Sampling

Explore the concept of Bell sampling as a new model of quantum computation in this lecture from the Quantum Summer Cluster Workshop. Delve into how Bell sampling, which involves measuring two copies of a quantum circuit-prepared state in the transversal Bell basis, presents complexity-theoretic evidence for classical intractability. Learn about the potential advantages of Bell sampling over standard-basis sampling, including efficient testing methods for sampled distributions and possible increased robustness against noise. Examine the implications of this model for demonstrating quantum computational advantage and its potential to address verification challenges in current quantum random sampling schemes. Consider the open questions and future research directions in this emerging field of quantum computation.