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<p>This article comprehensively explores matrices and their prerequisites for achieving positive semi-definiteness. The study delves into a theorem concerning pure quantum states in the context of weighted graphs. The main objective of this study is to establish a graph-theoretic framework for the study of quantum discord and to identify the necessary and sufficient conditions for zero quantum discord states using combination of local unitary operators. This research aims to advance the understanding of quantum discord and its implications for quantum information theory with a graph-theoretic framework.</p>

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A graph-theoretical framework to analyze zero discord quantum states

  • 期刊论文

  • 发表日期：

    2025年4月9日

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  • Anoopa Joshi,
  • Parvinder Singh,
  • Atul Kumar

摘要

This article comprehensively explores matrices and their prerequisites for achieving positive semi-definiteness. The study delves into a theorem concerning pure quantum states in the context of weighted graphs. The main objective of this study is to establish a graph-theoretic framework for the study of quantum discord and to identify the necessary and sufficient conditions for zero quantum discord states using combination of local unitary operators. This research aims to advance the understanding of quantum discord and its implications for quantum information theory with a graph-theoretic framework.