LINEAR PRESERVERS IN NONCLASSICAL CORRELATION THEORIES: AN INTRODUCTION

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Linear preserver classes used in recent quantum information science are briefly introduced. It has been fifteen years since linear positivity preservers that are not completely positivity preserving were employed in entanglement detection and quantification. Recently we have introduced the class of eigenvalue preservers that are not completely eigenvalue preserving to detect and quantify nonclassical correlation. Their concepts and an example of their usages are presented.

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