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Separability and Entanglement of a Spin-1 Particle

2014/06/30 by V. I. Manʹko, V. I. Man'ko, L. A. Markovich +1
Computer Science · Mathematics · Physics and Astronomy · #Concurrence #Density matrix #Entanglement witness #Materials science #Mathematical physics #Mathematics #Matrix (chemical analysis) #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Qutrit #Separable state #Squashed entanglement #State (computer science) #W state #quant-ph

paper · pdf · doi:10.1007/s10946-015-9484-1

10 pages, 3 figures, submitted to Journal of Quantum Information & Computation

arxiv created 2014/08/21 · openalex publication_date 2015/03/01 · arxiv updated 2016/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We define the separability and entanglement notion for particle with spin s=1. We consider two cases. In the first the particle is composed of two fermions with s1=1/2 and s2=1/2. In the second case the state is the qutrit state which is not composed system. The notion of negativity and concurrence is defined for the qutrit state. The concurrence and negativity of entangled and separable qutrit states determined by the parameters of the density matrix are explicitly calculated. The maximum entanglement of the qutrit state is observed for maximum values of non diagonal matrix elements of the density matrix. New entropic inequalities for the density matrix of the qutrit state are obtained.

Citations