Bethe ansatz on a quantum computer?

• URL: http://arxiv.org/abs/2010.01609v2
• Date: Sun, 24 Jan 2021 01:51:15 GMT
• Title: Bethe ansatz on a quantum computer?
• Authors: Rafael I. Nepomechie
• Abstract summary: We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm. We construct exact one-magnon trial states that are functions of the variational parameter, and implement the VQE calculations in Qiskit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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