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Quantum Algorithms
Preparing exact eigenstates of the open XXZ chain on a quantum computer
arXiv
Authors: John S. Van Dyke, Edwin Barnes, Sophia E. Economou, Rafael I. Nepomechie
Year
2021
Paper ID
61609
Status
Preprint
Abstract Read
~2 min
Abstract Words
89
Citations
N/A
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 binom{L}{M} 2M M! terms, the algorithm requires L+M2+2M qubits.
Why This Paper Matters
- It adds a 2021 reference point for readers tracking recent quantum research.
- 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.
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