All Pure Two-Qudit Entangled States Can be Generated via a Universal Yang--Baxter Matrix Assisted by Local Unitary Transformations

TL;DR

This paper demonstrates that any pure entangled state of two qudits can be generated from a separable state using a universal Yang--Baxter matrix combined with local unitary transformations, providing a unified method for state preparation.

Contribution

It introduces a universal Yang--Baxter matrix approach to generate all pure two-qudit entangled states with local unitaries, unifying state preparation methods.

Findings

Universal Yang--Baxter matrix can generate all pure two-qudit entangled states.

Local unitaries assist in transforming the generated states.

Provides a unified framework for entangled state generation.

Abstract

We show that all pure entangled states of two $d$-dimensional quantum systems (i.e., two qudits) can be generated from an initial separable state via a universal Yang--Baxter matrix if one is assisted by local unitary transformations.