dorsal/arxiv
View SchemaFactorization and Entanglement in Quantum Systems
| Authors | Jon Eakins, George Jaroszkiewicz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210041 |
| URL | https://arxiv.org/abs/quant-ph/0210041 |
| DOI | 10.1088/0305-4470/36/2/315 |
Abstract
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.
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"abstract": "We discuss the question of entanglement versus separability of pure quantum\nstates in direct product Hilbert spaces and the relevance of this issue to\nphysics. Different types of separability may be possible, depending on the\nparticular factorization or split of the Hilbert space. A given orthonormal\nbasis set for a Hilbert space is defined to be of type (p,q) if p elements of\nthe basis are entangled and q are separable, relative to a given bi-partite\nfactorization of that space. We conjecture that not all basis types exist for a\ngiven Hilbert space.",
"arxiv_id": "quant-ph/0210041",
"authors": [
"Jon Eakins",
"George Jaroszkiewicz"
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"quant-ph"
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"doi": "10.1088/0305-4470/36/2/315",
"title": "Factorization and Entanglement in Quantum Systems",
"url": "https://arxiv.org/abs/quant-ph/0210041"
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