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February 6, 2026Journal of linear and topological algebra0 citationsOpen Access

A class of 2-positive entanglement witness in B (₃ (C), ₄ (C) )

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CWC. A. Winda

Key Points

  • The aim is to confirm the existence of indecomposable 2-positive linear maps from M3 to M4.
  • Constructed a class of linear maps in B(M3, M4)
  • Showed maps that are positive but not completely positive or copositive
  • Analyzed the associated Choi matrices of these maps
  • Affirmative answer to Yang et al.'s question
  • Identification of explicit positive linear maps
  • Demonstrated Choi matrices act as entanglement witnesses

Abstract

We give an affirmative answer to the question posed by Yang et al. on the existence of indecomposable 2-positive linear maps from M₃ (C) to M₄ (C). In this study, we construct an explicit class of linear maps in B (M₃ (C), M₄ (C) ) that are positive, yet fail to be completely positive or completely copositive. Furthermore, we demonstrate that the associated Choi matrices of these maps serve as entanglement witnesses.

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Cite This Study

C. A. Winda (2025) studied this question.

synapsesocial.com/papers/698585fe8f7c464f23009cf7https://doi.org/10.71483/jlta.2025.1217080
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