Geometry of quantum state space and entanglement

2018/05/29 by Pratapaditya Bej, Prasenjit Deb · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Class (philosophy) #Measure (data warehouse) #Multipartite entanglement #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum state #Squashed entanglement #W state #advanced mathematical theories #quant-ph

paper · pdf · doi:10.1007/s11128-019-2192-y

published in Quantum Information Processing 18(3) (Springer Science+Business Media) · 6 pages

arxiv created 2018/05/29 · openalex created_date 2018/06/13 · openalex publication_date 2019/01/28 · arxiv updated 2019/04/10 · openalex updated_date 2026/08/05

Abstract

Recently, an explicit relation between a measure of entanglement and a geometric entity has been reported in Quantum Inf. Process. (2016) 15:1629-1638. It has been shown that if a qubit gets entangled with another ancillary qubit then negativity, up to a constant factor, is equal to square root of a specific Riemannian metric defined on the metric space corresponding to the state space of the qubit. In this article, we consider the different class of bi-partite entangled states and show explicit relation between two measures of entanglement and Riemannian metric.

Citations

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