Multipartite generalization of the Schmidt decomposition
type: Item
instance of: scholarly article
title: Multipartite generalization of the Schmidt decomposition
zbMATH Open document ID: 0974.81001
DOI: 10.1063/1.1319516
author: H. A. Carteret
author: Atsushi Higuchi
author: Anthony Sudbery
published in: Journal of Mathematical Physics
publication date: 2001-07-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/quant-ph/0006125
Mathematics Subject Classification ID: 81P05
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 81P68
Mathematics Subject Classification ID: 81V80
zbMATH DE Number: 1626613
zbMATH Keywords: multiparticle generalization
zbMATH Keywords: Schmidt decomposition
zbMATH Keywords: composite quantum systems
zbMATH Keywords: factorizable orthonormal basis
MaRDI profile type: Publication
OpenAlex ID: W2037265793
arXiv ID: quant-ph/0006125
cites work: Parametrization and distillability of three-qubit entanglement
cites work: Local symmetry properties of pure three-qubit states
cites work: On local invariants of pure three-qubit states.
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review text: The authors demonstrate the decomposition of pure states of an \(n\)-particle system, where the dimensions of the individual state spaces are finite but otherwise arbitrary. The constraints on the coordinates (with respect to a factorizable orthonormal basis) are that certain ones vanish and certain others are real. As an application, this is used to find the dimension of the generic local equivalence class. The relation of this composition to other proposed canonical forms is discussed.
description: scientific article; zbMATH DE number 1626613