Single-Ancilla Ground State Preparation via Lindbladians - IPAM at UCLA

Explore a groundbreaking Monte Carlo-style quantum algorithm for ground state preparation of quantum Hamiltonian systems in this conference talk by Lin Lin from the University of California, Berkeley. Discover how this innovative approach, based on Lindblad dynamics with a single jump operator, can be simulated using just one ancilla qubit and prepare ground states even from initial states with zero overlap. Learn about the algorithm's unique features, including the ground state serving as a fixed point of evolution and its potential to emerge as the unique fixed point under certain conditions. Gain insights into the superior efficiency of discrete time Lindblad dynamics compared to continuous dynamics, offering near-linear time scaling relative to mixing time. Delve into this cutting-edge research presented at IPAM's Quantum Algorithms for Scientific Computation Workshop, which represents joint work with Zhiyan Ding and Anthony Chen.