On Locality of Schmidt-Correlated States

TL;DR

This paper reviews the classification of two-qubit Schmidt correlated states under local unitary transformations, providing conditions for their equivalence and discussing their correlations.

Contribution

It introduces a standard form for SC states and establishes necessary and sufficient conditions for their local unitary equivalence.

Findings

Standard form for SC states under LUT

Necessary and sufficient conditions for state equivalence

Discussion on correlations of SC states

Abstract

We review some results on the equivalence of quantum states under local unitary transformations (LUT). In particular, the classification of two-qubit Schmidt correlated (SC) states under LUT is investigated. By presenting the standard form of quantum states under LUT, the sufficient and necessary conditions of whether two different SC states are local unitary equivalent are provided. The correlations of SC states are also discussed.