Spin- s $s$ U ( 1 ) $U(1)$ -Eigenstate Preparation

IF 2.3 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annalen der Physik Pub Date : 2026-07-02 DOI:10.1002/andp.70239

Nabi Zare Harofteh, Rafael I. Nepomechie

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引用次数: 0

Abstract

We formulate a deterministic algorithm for preparing a general $U (1)$ -eigenstate of a spin- $s$ chain of length $n$ . These states consist of linear combinations of computational basis states $| \vec{m} ⟩$ of $n$ qudits, each with $(2 s + 1)$ levels and $s = 1 / 2, 1, 3 / 2, …$ , whose ditstrings $\vec{m}$ have a fixed digit sum. Exploiting a Gray code for bounded integer compositions, whose consecutive ditstrings obey the Gray property, the quantum state is prepared by applying corresponding “Gray gates.” We use this algorithm to prepare exact eigenstates of integrable spin- $s$ XXX Hamiltonians. We also consider the preparation of AKLT states and spin- $s$ Dicke states.

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自旋- s$ s$ U(1)$ U(1)$ -本征态制备

我们提出了一种确定性算法，用于制备长度为n$ n$的自旋- s$ s$链的一般U(1)$ U(1)$本征态。这些状态由计算基状态| m l´⟩$|\vec{m}\rangle$ （n$ n$ qudits）的线性组合组成，每个都有（2s+1）$ (2s+1)$级别和s = 1 / 2,1，3/2，…$s= 1/2, 1,3 /2, \ldots$，其ditstring m∈$\vec{m}$具有固定数字和。利用有界整数组合的Gray编码，其连续的ditstrings服从Gray属性，通过应用相应的“Gray门”来制备量子态。我们利用该算法制备了可积自旋- s$ s$ XXX哈密顿量的精确特征态。我们还考虑了AKLT态和自旋s$ s$ Dicke态的制备。

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来源期刊

Annalen der Physik 物理-物理：综合

CiteScore

4.50

自引率

8.30%

发文量

202

审稿时长

3 months

期刊介绍： Annalen der Physik (AdP) is one of the world''s most renowned physics journals with an over 225 years'' tradition of excellence. Based on the fame of seminal papers by Einstein, Planck and many others, the journal is now tuned towards today''s most exciting findings including the annual Nobel Lectures. AdP comprises all areas of physics, with particular emphasis on important, significant and highly relevant results. Topics range from fundamental research to forefront applications including dynamic and interdisciplinary fields. The journal covers theory, simulation and experiment, e.g., but not exclusively, in condensed matter, quantum physics, photonics, materials physics, high energy, gravitation and astrophysics. It welcomes Rapid Research Letters, Original Papers, Review and Feature Articles.