Bethe ansatz on a quantum computer?

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm, by treating Bethe states as variational states, and Bethe roots as variational parameters. For short chains, we construct exact one-magnon trial states that are functions of the variational parameter, and implement the VQE calculations in Qiskit. However, exact multi-magnon trial states appear to be out out of reach.

Original languageEnglish (US)
Pages (from-to)255-265
Number of pages11
JournalQuantum Information and Computation
Volume21
Issue number3-4
DOIs
StatePublished - 2021

Keywords

  • Bethe ansatz
  • Qiskit
  • Schmidt decomposition
  • Variational quantum eigensolver

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Computational Theory and Mathematics

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