Approximate Degree Lower Bounds for Oracle Identification Problems

Watch a conference talk from TQC 2023 exploring mathematical frameworks for proving approximate degree lower bounds in oracle identification problems. Delve into the quantum query complexity analysis presented by Nadezhda Voronova, who introduces novel approaches for computing the parity of hidden binary strings. Learn about the application of this framework to ordered search and hidden string problems, demonstrating nearly tight approximate degree lower bounds of Ω(n/log²n). Understand how these bounds extend to weakly unbounded error settings and their implications for quantum query lower bounds. Discover the connection between randomized communication upper bounds for greater-than and equality functions, and their role in establishing these theoretical limits. The presentation, delivered at the 18th Conference on the Theory of Quantum Computation, Communication and Cryptography, advances our understanding of quantum information science's theoretical foundations.