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On Multi‐Particle Entanglement
Author(s) -
Linden N.,
Popescu S.,
Popescu S.
Publication year - 1998
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(199806)46:4/5<567::aid-prop567>3.0.co;2-h
Subject(s) - quantum entanglement , orbit (dynamics) , physics , group (periodic table) , particle (ecology) , spin (aerodynamics) , point (geometry) , action (physics) , quantum mechanics , theoretical physics , classical mechanics , mathematics , geometry , aerospace engineering , oceanography , geology , quantum , engineering , thermodynamics
We build, using group‐theoretic methods, a genaral framework for approaching multi‐particle entanglement. As far as entanglement is concerned, two states of n spin‐1/2 particles are equivalent if they are on the same orbit of the group of local rotations ( U (2) n ). We give a method for finding the number of parameters needed to describe inequivalent n spin‐1/2 particle states. We also describe how entanglement of states on a given orbit may be characterized by the stability group of the action of the group of local rotations on any point on the orbit.