arXiv:quant-ph/9911073AbstractReferencesReviewsResources
Existence of the Schmidt decomposition for tripartite systems
Published 1999-11-16, updated 2000-07-11Version 2
For any bipartite quantum system the Schmidt decomposition allows us to express the state vector in terms of a single sum instead of double sums. We show the existence of the Schmidt decomposition for tripartite system under certain condition. If the partial inner product of a basis (belonging to a Hilbert space of smaller dimension) with the state of the composite system gives a disentangled basis, then the Schmidt decomposition for a tripartite system exists. In this case the reduced density matrix of each of the subsystem has equal spectrum in the Schmidt basis.
Comments: Latex prerpint style, 7 pages
Categories: quant-ph
Keywords: schmidt decomposition, tripartite system, bipartite quantum system, single sum, partial inner product
Tags: journal article
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