Preparing exact eigenstates of the open XXZ chain on a quantum computer
- 12 January 2022
- journal article
- research article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 55 (5), 055301
- https://doi.org/10.1088/1751-8121/ac4640
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 ((L)(M)) 2(M) M! terms, the algorithm requires L + M-2 + 2M qubits.Keywords
Funding Information
- DOE Office of Science, National Quantum Information Science Research Centers
- Department of Energy (DE-SC0019199)
- Center for Quantum Advantage (C2QA)
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