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Preparing exact eigenstates of the open XXZ chain on a quantum computer
J. V. Van Dyke, Edwin Barnes, S. Economou, Rafael I. Nepomechie·September 12, 2021·DOI: 10.1088/1751-8121/ac4640
Physics
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Abstract
The open spin-1/2 XXZ spin chain with diagonal boundary magnetic fields is the paradigmatic example of a quantum integrable model with open boundary conditions. We formulate a quantum algorithm for preparing Bethe states of this model, corresponding to real solutions of the Bethe equations. The algorithm is probabilistic, with a success probability that decreases with the number of down spins. For a Bethe state of L spins with M down spins, which contains a total of LM2MM! terms, the algorithm requires L + M 2 + 2M qubits.