Yang–Baxter equation in all dimensions and universal qudit gates

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI:10.1134/S0040577924040032

A. Pourkia

引用次数: 0

Abstract

We construct solutions of the Yang–Baxter equation in any dimension \(d\ge 2\) by directly generalizing the previously found solutions for \(d=2\). We equip those solutions with unitarity and entangling properties. Being unitary, they can be turned into \(2\)-qudit quantum logic gates for qudit-based systems. The entangling property enables each of those solutions, together with all \(1\)-qudit gates, to form a universal set of quantum logic gates.

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所有维度的杨-巴克斯特方程和通用奎特门

Abstract 我们通过直接概括之前发现的 \(d=2\) 的解来构建杨-巴克斯特方程在任意维度 \(d\ge 2\) 的解。我们使这些解具有单元性和纠缠性。由于具有单元性，它们可以转化为基于量子系统的量子逻辑门。纠缠特性使得这些解中的每一个，连同所有的（1）-量子门，构成了一组通用的量子逻辑门。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.