Testing Quantumness: From Quantum Supremacy to Cryptographic Proofs

Explore a comprehensive lecture where Professor Umesh Vazirani delves into the fascinating challenge of determining genuine quantum behavior in systems through classical observation. Learn how foundational developments in quantum computation helped frame this fundamental question and its connection to recent quantum supremacy experiments. Discover the intersection of cryptographic concepts with quantum systems testing, examining how these novel approaches could influence future quantum computer development. Investigate topics including entanglement, the Feynman paper, quantum supremacy demonstrations on the Sycamore processor, cryptographic proofs, quantum encryption, and error correction. Gain insights into the theoretical frameworks and practical challenges of verifying quantum behavior, including discussions on the Extended Church thesis, Hilbert space, and the cooperation between classical and quantum systems.