Quantum Complexity of Testing Signed Graph Clusterability

Explore a conference talk from TQC 2024 (Theory of Quantum Computation, Communication and Cryptography) that delves into the quantum complexity of testing signed graph clusterability. Learn about groundbreaking research presenting a quantum algorithm with query complexity $\tilde{O}(N^{1/3})$ for testing clusterability, demonstrating a polynomial speedup over classical methods. Discover how the researchers prove an $\tilde{\Omega}(\sqrt{N})$ classical query lower bound, effectively settling the classical query complexity question while establishing their quantum algorithm's superiority. Presented at the prestigious 19th TQC Conference at OIST, Japan, this 20-minute talk showcases cutting-edge developments in theoretical quantum information science, supported by industry leaders like JPMorganChase, Google Quantum AI, and Quantinuum.