173
Views
1
CrossRef citations to date
0
Altmetric
Articles

Norm duality and the cross norm criteria for quantum entanglement

Pages 648-658 | Received 27 Sep 2012, Accepted 15 Nov 2012, Published online: 23 Jan 2013
 

Abstract

We use duality techniques to prove and generalize the cross norm and computable cross norm criteria for separability of quantum states. While the original proof of the cross norm criterion is long and involved, our new proof is short and elementary. Furthermore, our proof generalizes naturally to arbitrary Schmidt number. We also use these techniques to generalize the computable cross norm criterion to arbitrary Schmidt number and prove some results of independent interest along the way.

AMS Subject Classifications:

Acknowledgments

The author was supported by the University of Guelph Brock Scholarship and an NSERC Postdoctoral Fellowship. The author is grateful to their Ph.D. advisor, David W. Kribs, for helpful conversations and work related to that contained in this paper. Parts of this paper made up part of the author’s doctoral thesis.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 670.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.