Published April 28, 2022 | Version v1
Dataset Open

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

  • 1. North Carolina State University
  • 2. Goucher College
  • 3. Georgetown University

Description

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.

Notes

Funding provided by: U.S. Department of Energy
Crossref Funder Registry ID: http://dx.doi.org/10.13039/100000015
Award Number: DE-SC0019469

Funding provided by: National Science Foundation
Crossref Funder Registry ID: http://dx.doi.org/10.13039/100000015
Award Number: DMR-1752713

Funding provided by: U.S. Department of Energy
Crossref Funder Registry ID: http://dx.doi.org/10.13039/100000015
Award Number: ERKJ347

Funding provided by: Georgetown University
Crossref Funder Registry ID: http://dx.doi.org/10.13039/100008064
Award Number:

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calibration_ibmq_casablanca_7122021_10.csv

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