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DY: Fachverband Dynamik und Statistische Physik

DY 9: Focus Session: Simulating Quantum Many-Body Systems on Noisy Intermediate-Scale Quantum Computers (joint session TT/DY)

DY 9.3: Hauptvortrag

Montag, 16. März 2020, 16:00–16:30, HSZ 03

Simulating quantum many-body systems on a quantum computer — •Adam Smith^1,2, Bernhard Jobst¹, Andrew G. Green³, and Frank Pollmann^1,4 — ¹Technical University Munich, Garching, Germany — ²Imperial College London, London, UK — ³University College London, London, UK — ⁴Munich Center for Quantum Science and Technology (MCQST), Munich, Germany

Universal quantum computers are potentially an ideal setting for simulating many-body quantum systems out of reach for classical computers. Here we discuss the practical applications to two main problems: the simulation of far out-of-equilibrium dynamics and the study of topological ground states of static Hamiltonians. In the former we demonstrate that on small scales current devices are already capable of capturing the correct qualitative physics of quantum quenches with the presence of disorder and interactions. In the latter we represent the ground states of Hamiltonians using shallow quantum circuits and observe a topological phase transition on a quantum device. Looking to the near-future, we discuss the utility of these devices for dynamics and the efficient representation of physical quantum states as we enter the noisy intermediate-scale quantum (NISQ) era.