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How to construct indecomposable entanglement witnesses

2007/12/07 by Dariusz Chruściński, Dariusz Chruscinski, Andrzej Kossakowski
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Construct (python library) #Discrete mathematics #Entanglement witness #Epistemology #Indecomposable module #Mathematics #Multipartite #Multipartite entanglement #Philosophy #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Simple (philosophy) #Squashed entanglement #Theoretical physics #W state #quant-ph

paper · pdf · doi:10.1088/1751-8113/41/14/145301

published as J. Phys. A: Math. Theor. 41 (2008) 145301 · 10 pages

arxiv created 2007/12/07 · openalex publication_date 2008/03/26 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a very simple method for constructing indecomposable entanglement witnesses out of a given pair—an entanglement witness W and the corresponding state detected by W . This method may be used to produce new classes of atomic witnesses which are able to detect the 'weakest' quantum entanglement. Actually, it works perfectly in the multipartite case, too. Moreover, this method provides a powerful tool for constructing new examples of bound entangled states.

Citations