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Data from: Determining ground-state phase diagrams on quantum computers via a generalized application of adiabatic state preparation

Citation

Francis, Akhil et al. (2022), Data from: Determining ground-state phase diagrams on quantum computers via a generalized application of adiabatic state preparation, Dryad, Dataset, https://doi.org/10.5061/dryad.z8w9ghxdq

Abstract

Quantum phase transitions materialize as level crossings in the ground-state energy when the parameters of the Hamiltonian are varied. The resulting ground-state phase diagrams are straightforward to determine by exact diagonalization on classical computers, but are challenging on quantum computers because of the accuracy needed and the near degeneracy of competing states close to the level crossings. In this work, we use a local adiabatic ramp for state preparation to allow us to directly compute ground-state phase diagrams on a quantum computer via time evolution. This methodology is illustrated by examining the ground states of the XY model with a magnetic field in the z-direction in one dimension. We are able to calculate an accurate phase diagram on both two and three site systems using IBM quantum machines.

Methods

For the two sites, the quantum computer data is obtained from IBM Santiago after readout error correction. For the three sites, the quantum computer data is obtained from IBM Yorktown, IBM Montreal, IBM Casablanca after readout error correction. Other data is from computer simulations.

Funding

U.S. Department of Energy, Award: DE-SC0019469

National Science Foundation, Award: DMR-1752713

U.S. Department of Energy, Award: ERKJ347

Georgetown University