CM Seminar - Andrew Potter: Simulating highly-entangled matter with quantum tensor networks

Abstract: Quantum computation tantalizing promises efficient solutions to a broad range of classically-hard materials and chemistry simulation problems of interest to both basic science and practical applications. However, nascent quantum processors are severely limited in both memory and accuracy, and remain a long way from surpassing state-of-the-art classical computational methods. In this talk, I will review recent progress in bridging this gap by leveraging efficient quantum data compression afforded by tensor network representations, along with opportunistic midcircuit qubit reset and re-use in order to simulate large-scale models of quantum materials with relatively few qubits. I will highlight recent experimental implementations of quantum tensor network algorithms for simulating entangled ground-states and non-equilibrium dynamics of correlated spins and electrons on a trapped ion quantum processor.