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Tensorial characterization and quantum estimation of weakly entangled qubits

2012/02/14 by Paolo Aniello, P. Aniello, J. Clemente-Gallardo +7
Computer Science · Mathematics · Physics and Astronomy · #81Q70 #81R99 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #math-ph #math.MP #msc:81Q70 #msc:81R99 #quant-ph

paper · pdf · doi:10.48550/arxiv.1202.3070

23 pages, 3 figures

arxiv created 2012/02/14 · openalex publication_date 2012/02/14 · arxiv updated 2012/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

In the case of two qubits, standard entanglement monotones like the linear entropy fail to provide an efficient quantum estimation in the regime of weak entanglement. In this paper, a more efficient entanglement estimation, by means of a novel class of entanglement monotones, is proposed. Following an approach based on the geometric formulation of quantum mechanics, these entanglement monotones are defined by inner products on invariant tensor fields on bipartite qubit orbits of the group SU(2)xSU(2).

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