Unital Kadison-Schwarz Maps

• URL: http://arxiv.org/abs/2509.16368v1
• Date: Fri, 19 Sep 2025 19:19:49 GMT
• Title: Unital Kadison-Schwarz Maps
• Authors: Hajir Al Zadjali, Farrukh Mukhamedov,
• Abstract summary: Quantum entanglement is an important phenomenon in quantum information theory.<n>To detect entanglement theoretically, positive but not completely positive maps are used.<n>The Kadison-Schwarz (KS) inequality interpolates between positivity and complete positivity.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum entanglement is an important phenomenon in quantum information theory. To detect entanglement theoretically, positive but not completely positive maps are used. The Kadison-Schwarz (KS) inequality interpolates between positivity and complete positivity. KS maps may be key to understanding and detecting entanglement. We provide a description of a subset of KS maps on $M_2(\mathbb{C})$ that are unital. This allows for the classification of a wider class of positive maps than the well known bistochastic maps. We derive the conditions for a unital map to be a KS map, and provide non-trivial examples of such a map.

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