Quantum key distribution with finite resources: Secret key rates via Rényi entropies

Silvestre Abruzzo, Hermann Kampermann, Markus Mertz, and Dagmar Bruß
Phys. Rev. A 84, 032321 – Published 16 September 2011


A realistic quantum key distribution (QKD) protocol necessarily deals with finite resources, such as the number of signals exchanged by the two parties. We derive a bound on the secret key rate which is expressed as an optimization problem over Rényi entropies. Under the assumption of collective attacks by an eavesdropper, a computable estimate of our bound for the six-state protocol is provided. This bound leads to improved key rates in comparison to previous results.

  • Figure
  • Figure
  • Received 31 May 2011


©2011 American Physical Society

Authors & Affiliations

Silvestre Abruzzo*, Hermann Kampermann, Markus Mertz, and Dagmar Bruß

  • Institute for Theoretical Physics III, Heinrich-Heine-universität Düsseldorf, D-40225 Düsseldorf, Germany

  • *abruzzo@thphy.uni-duesseldorf.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Vol. 84, Iss. 3 — September 2011

Reuse & Permissions
Physical Review A•B•C•D - 50 Years

To celebrate 50 years of enduring discoveries, APS is offering 50% off APCs for any manuscript submitted in 2020, published in any of its hybrid journals: PRL, PRA, PRB, PRC, PRD, PRE, PRApplied, PRFluids, and PRMaterials. Learn More »

Access Options
Ways to Access APS Journal Articles Off-Campus

Many researchers now find themselves working away from their institutions and, thus, may have trouble accessing the Physical Review journals. To address this, we have been improving access via several different mechanisms. See Off-Campus Access to Physical Review for further instructions.

APS and the Physical Review Editorial Office Continues to Support Researchers

COVID-19 has impacted many institutions and organizations around the world, disrupting the progress of research. Through this difficult time APS and the Physical Review editorial office are fully equipped and actively working to support researchers by continuing to carry out all editorial and peer-review functions and publish research in the journals as well as minimizing disruption to journal access.

We appreciate your continued effort and commitment to helping advance science, and allowing us to publish the best physics journals in the world. And we hope you, and your loved ones, are staying safe and healthy.

Authorization Required




Sign up to receive regular email alerts from Physical Review A

Log In



Article Lookup

Paste a citation or DOI

Enter a citation