Optimal entanglement witnesses from generalized reduction and Robertson maps

2010/12/31 by Dariusz Chruściński, Justyna Pytel · 25 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Class (philosophy) #Generalization #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Reduction (mathematics) #State (computer science) #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1751-8113/44/16/165304

published in Journal of Physics A Mathematical and Theoretical 44(16), 165304 (Institute of Physics) · 14 pages

arxiv created 2011/03/02 · openalex publication_date 2011/03/28 · arxiv updated 2015/01/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

We provide a generalization of the reduction and Robertson positive maps in matrix algebras. They give rise to a new class of optimal entanglement witnesses. Their structural physical approximation is analyzed. As a byproduct we provide new examples of PPT (positive partial transpose) entangled states.

Citations

• Optimal Entanglement Criterion for Mixed Quantum States
• Relations between entanglement witnesses and Bell inequalities
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Spectral Conditions for Positive Maps
• Distinguishing Separable and Entangled States
• Optimization of entanglement witnesses
• Completely positive linear maps on complex matrices
• Entanglement Breaking Channels
• Separability of mixed states: necessary and sufficient conditions
• Cones of positive maps and their duality relations
• Subalgebras of C*-algebras
• Quantum entanglement
• Entanglement detection
• Positive linear maps of operator algebras

Cited by

• Entanglement witnesses: construction, analysis and classification