Watch a 24-minute conference talk from TQC 2023 (Theory of Quantum Computation, Communication and Cryptography Conference) where Martins Kokainis presents groundbreaking research on variable time quantum search algorithms. Learn about a novel quantum algorithm that achieves O(√T log n) complexity for variable time search, where different items require varying query times. Explore both the improved algorithm and a quantum lower bound of Ω(√T log T), which enhance previous results by a factor of √log T while offering a simpler implementation. Delivered at the University of Aveiro during the 18th TQC conference, this presentation delves into theoretical quantum information science and is based on research available on arXiv (2302.06749).