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Mathematical Physics

arXiv:1410.4988 (math-ph)
[Submitted on 18 Oct 2014]

Title:Bipartite Entanglement Review of Subsystem-Basis Expansions and Correlation Operators in It

Authors:Fedor Herbut
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Abstract:The present review presents the authors previous results on the topic from the title in a new light. Most of the previous results were obtained using the techniques of antilinear Hilbert-Schmidt mappings of one Hilbert pace into another, which is unknown and unused in the literature. This, naturally, diminished the impact of the results. In this article the results are derived anew with standard techniques. The topics listed at the end of the Introduction, are expounded in 9 theorems, 5 propositions etc. Partial scalar product and partial trace methods are used throughout. Further relevant research articles that are not reproduced in this review, are sketched in the Concluding remarks.
Comments: 37 pages, no figues or tables
Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)
Cite as: arXiv:1410.4988 [math-ph]
  (or arXiv:1410.4988v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1410.4988

Submission history

From: Fedor Herbut [view email]
[v1] Sat, 18 Oct 2014 18:31:03 UTC (31 KB)
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