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Witness for edge states and its characteristics

2009/06/30 by Nirman Ganguly, Satyabrata Adhikari · 1 citation
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Chemistry #Computer science #Eigenvalues and eigenvectors #Enhanced Data Rates for GSM Evolution #Mathematics #Operator (biology) #Physics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Realization (probability) #Statistics #Theoretical physics #Transpose #Witness #quant-ph

paper · pdf · doi:10.1103/physreva.80.032331

published as Physical Review A 80, 032331 (2009) · 17 pages, To be published in Physical Review A

arxiv created 2009/09/03 · openalex publication_date 2009/09/28 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Edge states lying at the edge of positive-partial-transpose- (PPT-) entangled states have a very intriguing existence and their detection is equally interesting. We present here a witness for detection of edge states. We then compare between our proposed witness operator and the witness operator proposed by Lewenstein et al. [Phys. Rev. A 62, 052310 (2000)] in terms of the efficiency in the detection of PPT entangled states. In this regard we show that this operator is finer than the operator of Lewenstein et al. in some restrictions. We also discuss about its experimental realization via Gell-Mann matrices.

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