Preparing exact eigenstates of the open XXZ chain on a quantum computer
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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 (L M) 2M M! terms, the algorithm requires L + M2+ 2M qubits.
2004 ◽
Vol 21
(3)
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pp. 537-539
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1998 ◽
Vol 39
(9)
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pp. 4746-4758
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1993 ◽
Vol 102
(3)
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pp. 367-387
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