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Entanglement of Pure States
KTH, School of Engineering Sciences (SCI), Physics.
2009 (English)In: Foundations of physics, ISSN 0015-9018, E-ISSN 1572-9516, Vol. 39, no 6, 642-655 p.Article in journal (Refereed) Published
Abstract [en]

We consider the concept of entanglement for pure cases of finite dimensional state spaces. The criterion of unentangled states is related to demanding rank one of an associated eigenvalue problem. In addition to the conventional procedure based on the Schmidt decomposition, we devise a method based on the spectral resolution of unsymmetric matrices. In particular, we consider the case when all eigenvalues are zero, and find that the method still works.

Place, publisher, year, edition, pages
2009. Vol. 39, no 6, 642-655 p.
Keyword [en]
Entanglement, Schmidt decomposition, Spectral representation
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-32708DOI: 10.1007/s10701-009-9276-yISI: 000267485700009Scopus ID: 2-s2.0-69549133769OAI: oai:DiVA.org:kth-32708DiVA: diva2:411735
Note
QC 20110419Available from: 2011-04-19 Created: 2011-04-18 Last updated: 2017-12-11Bibliographically approved

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