Simulating prethermalization using near-term quantum computers
- URL: http://arxiv.org/abs/2303.08461v1
- Date: Wed, 15 Mar 2023 09:04:57 GMT
- Title: Simulating prethermalization using near-term quantum computers
- Authors: Yilun Yang, Arthur Christianen, Sandra Coll-Vinent, Vadim Smelyanskiy,
Mari Carmen Ba\~nuls, Thomas E. O'Brien, Dominik S. Wild, and J. Ignacio
Cirac
- Abstract summary: We propose an experimental protocol for probing dynamics and equilibrium properties on near-term digital quantum computers.
We show that it is possible to study thermalization even with a relatively coarse Trotter decomposition of the Hamiltonian evolution of interest.
- Score: 1.2189422792863451
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum simulation is one of the most promising scientific applications of
quantum computers. Due to decoherence and noise in current devices, it is
however challenging to perform digital quantum simulation in a regime that is
intractable with classical computers. In this work, we propose an experimental
protocol for probing dynamics and equilibrium properties on near-term digital
quantum computers. As a key ingredient of our work, we show that it is possible
to study thermalization even with a relatively coarse Trotter decomposition of
the Hamiltonian evolution of interest. Even though the step size is too large
to permit a rigorous bound on the Trotter error, we observe that the system
prethermalizes in accordance with previous results for Floquet systems. The
dynamics closely resemble the thermalization of the model underlying the
Trotterization up to long times. We extend the reach of our approach by
developing an error mitigation scheme based on measurement and rescaling of
survival probabilities. To demonstrate the effectiveness of the entire
protocol, we apply it to the two-dimensional XY model and numerically verify
its performance with realistic noise parameters for superconducting quantum
devices. Our proposal thus provides a route to achieving quantum advantage for
relevant problems in condensed matter physics.
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