arXiv:quant-ph/0210041AbstractReferencesReviewsResources
Factorization and Entanglement in Quantum Systems
Jon Eakins, George Jaroszkiewicz
Published 2002-10-06Version 1
We discuss the question of entanglement versus separability of pure quantum states in direct product Hilbert spaces and the relevance of this issue to physics. Different types of separability may be possible, depending on the particular factorization or split of the Hilbert space. A given orthonormal basis set for a Hilbert space is defined to be of type (p,q) if p elements of the basis are entangled and q are separable, relative to a given bi-partite factorization of that space. We conjecture that not all basis types exist for a given Hilbert space.
Comments: 11 pages
Categories: quant-ph
Keywords: quantum systems, entanglement, direct product hilbert spaces, pure quantum states, orthonormal basis set
Tags: journal article
Related articles: Most relevant | Search more
arXiv:quant-ph/0207149 (Published 2002-07-26)
Generalizations of entanglement based on coherent states and convex sets
arXiv:quant-ph/0703010 (Published 2007-03-01)
Entanglement in alternating open spin-1/2 chains with XY-Hamiltonian
On the robustness of entanglement in analogue gravity systems