References & Citations
Quantum Physics
Title: Deterministic Bethe state preparation
(Submitted on 5 Mar 2024 (v1), last revised 26 Mar 2024 (this version, v2))
Abstract: We present an explicit quantum circuit that prepares an arbitrary $U(1)$-eigenstate on a quantum computer, including the exact eigenstates of the spin-1/2 XXZ quantum spin chain with either open or closed boundary conditions. The algorithm is deterministic, does not require ancillary qubits, and does not require QR decompositions. The circuit prepares such an $L$-qubit state with $M$ down-spins using $\binom{L}{M}-1$ multi-controlled rotation gates and $2M(L-M)$ CNOT-gates.
Submission history
From: David Raveh [view email][v1] Tue, 5 Mar 2024 19:31:25 GMT (143kb,D)
[v2] Tue, 26 Mar 2024 18:52:41 GMT (275kb,D)
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