确定性贝特态准备

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

摘要

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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Deterministic Bethe state preparation

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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来源期刊

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.