Published March 2011
| Submitted
Journal Article
Open
One-Shot Rates for Entanglement Manipulation Under Non-entangling Maps
Abstract
We obtain expressions for the optimal rates of one-shot entanglement manipulation under operations which generate a negligible amount of entanglement. As the optimal rates for entanglement distillation and dilution in this paradigm, we obtain the max- and min-relative entropies of entanglement, the two logarithmic robustnesses of entanglement, and smoothed versions thereof. This gives a new operational meaning to these entanglement measures. Moreover, by considering the limit of many identical copies of the shared entangled state, we partially recover the recently found reversibility of entanglement manipulation under the class of operations which asymptotically do not generate entanglement.
Additional Information
© 2011 IEEE. Manuscript received May 18, 2009; revised October 22, 2010; accepted October 30, 2010. Date of current version February 18, 2011. This work is part of the QIP-IRC supported by the European Community's Seventh Framework Programme (FP7/2007-2013) under Grant Agreement Number 213681, EPSRC (GR/S82176/0) as well as the Integrated Project Qubit Applications (QAP) supported by the IST directorate as Contract Number 015848. The work of F. G. S. L. Brandão was supported by a Conhecimento Novo fellowship from Fundação de Amparo a Pesquisa do Estado de Minas Gerais (FAPEMIG). The authors would like to thank Martin Plenio for many interesting discussions on the theme of this paper.Attached Files
Submitted - 0905.2673v2.pdf
Files
0905.2673v2.pdf
Files
(155.1 kB)
Name | Size | Download all |
---|---|---|
md5:8ca2b91a2884e49e92a2ba98f482d992
|
155.1 kB | Preview Download |
Additional details
- Eprint ID
- 67369
- Resolver ID
- CaltechAUTHORS:20160525-155015519
- 213681
- European Commission
- GR/S82176/0
- Engineering and Physical Sciences Research Council (EPSRC)
- 015848
- IST directorate
- Fundação de Amparo a Pesquisa do Estado de Minas Gerais (FAPEMIG)
- Created
-
2016-05-26Created from EPrint's datestamp field
- Updated
-
2021-11-11Created from EPrint's last_modified field