SKM 2021 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Quantum Computing (joint session TT/DY)

DY 8.5: Talk

Wednesday, September 29, 2021, 12:15–12:30, H7

Simulating hydrodynamics on NISQ devices with random circuits — •Jonas Richter and Arijeet Pal — Department of Physics and Astronomy, University College London, UK

We show that pseudorandom circuits, recently implemented in Google’s seminal “quantum supremacy” experiment, are not just abstract tools to outperform classical computers, but in fact form tailor-made building blocks to simulate certain aspects of quantum many-body systems on noisy intermediate-scale quantum computers. Specifically, we propose an algorithm consisting of a random circuit followed by a trotterized Hamiltonian time evolution to study transport properties in the linear response regime, which we numerically exemplify for one- and two-dimensional quantum spin systems. While the algorithm operates without an overhead of bath or ancilla qubits for initial-state preparation and measurement, our numerics further suggest that it is comparatively robust against systematic Trotter errors and noisy gates.
[1] J. Richter and A. Pal, Phys. Rev. Lett. 126, 230501 (2021)