Minimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite cone
type: Item
instance of: scholarly article
title: Minimum distance of the boundary of the set of PPT states from the maximally mixed state using the geometry of the positive semidefinite cone
author: Shreya Banerjee
author: Aryaman A. Patel
author: Prasanta K. Panigrahi
published in: Quantum Information Processing
publication date: 2022-12-08T00:00:00Z
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 81P40
zbMATH DE Number: 7629846
zbMATH Keywords: entanglement
zbMATH Keywords: separability
zbMATH Keywords: partial transpose
zbMATH Keywords: Werner states
zbMATH Keywords: PPT criterion
zbMATH Keywords: positive semidefinite cone
MaRDI profile type: Publication
full work available at URL: s11128-019-2411-6
OpenAlex ID: W2966896048
cites work: Characterizing entanglement
cites work: Comment on ``Proactive quantum secret sharing''
cites work: Q4495811
cites work: Induced measures in the space of mixed quantum states
cites work: The Monge metric on the sphere and geometry of quantum states
cites work: Entanglement measures and the Hilbert-Schmidt distance
cites work: Entanglement measure for general pure multipartite quantum states
cites work: Separability Criterion for Density Matrices
cites work: Uncertainty relation and inseparability criterion
cites work: Good and asymptotically good quantum codes derived from algebraic geometry
cites work: Toffoli gate and quantum correlations: a geometrical approach
cites work: Generalized concurrence measure for faithful quantification of multiparticle pure state entanglement using Lagrange's identity and wedge product
cites work: Two-step measurement of the concurrence for hyperentangled state
cites work: A trace inequality for matrix product
DOI: 10.1007/S11128-019-2411-6
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description: scientific article; zbMATH DE number 7629846