A Necessary and Sufficient Condition for Entanglement Witness
Fabio Masillo
TL;DR
This paper introduces a criterion for identifying entanglement witnesses in multipartite quantum systems by analyzing the tangent space to pure product states, providing a new mathematical characterization.
Contribution
It presents a novel necessary and sufficient condition for entanglement witnesses based on tangent space analysis of pure product states.
Findings
Provides a new criterion for entanglement detection
Characterizes entanglement witnesses using tangent space methods
Enhances understanding of multipartite quantum entanglement
Abstract
In this paper we introduce a criterion for the characterization of Entanglement Witness for multipartite quantum systems. Our approach is based on the characterization of the "tangent space" to the set of pure product states.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum Mechanics and Applications