Deterministic Bethe state preparation

IF 5.1 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Quantum Pub Date : 2024-10-24 DOI:10.22331/q-2024-10-24-1510
David Raveh, Rafael I. Nepomechie
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引用次数: 0

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.
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确定性贝特态准备
我们提出了一种明确的量子电路,可在量子计算机上准备任意 $U(1)$ 特征状态,包括具有开放或封闭边界条件的自旋-$1/2 XXZ$ 量子自旋链的精确特征状态。该算法是确定性的,不需要辅助量子位,也不需要 QR 分解。该电路使用 $\binom{L}{M}-1$ 多控旋转门和 $2M(L-M)$ CNOT 门来准备这样一个具有 $M$ 下旋的 $L$ 量子位态。
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来源期刊
Quantum
Quantum Physics and Astronomy-Physics and Astronomy (miscellaneous)
CiteScore
9.20
自引率
10.90%
发文量
241
审稿时长
16 weeks
期刊介绍: Quantum is an open-access peer-reviewed journal for quantum science and related fields. Quantum is non-profit and community-run: an effort by researchers and for researchers to make science more open and publishing more transparent and efficient.
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