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Bethe ansatz on a quantum computer?
(pp0255-0265)
Rafael I. Nepomechie
doi:
https://doi.org/10.26421/QIC21.3-4-4
Abstracts:
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.
Key words:
Bethe
ansatz, variational quantum
eigensolver, Schmidt decomposition,
Qiskit |
