Collective Operations Can Exponentially Enhance Quantum State Verification

Jorge Miguel-Ramiro, Ferran Riera-Sàbat, and Wolfgang Dür
Phys. Rev. Lett. 129, 190504 – Published 31 October 2022
PDFHTMLExport Citation

Abstract

Maximally entangled states are a key resource in many quantum communication and computation tasks, and their certification is a crucial element to guarantee the desired functionality. We introduce collective strategies for the efficient, local verification of ensembles of Bell pairs that make use of an initial information and noise transfer to few copies prior to their measurement. In this way the number of entangled pairs that need to be measured and hence destroyed is significantly reduced as compared to previous, even optimal, approaches that operate on individual copies. Moreover, the remaining states are directly certified. We show that our tools can be extended to other problems and larger classes of multipartite states.

  • Figure
  • Figure
  • Received 11 January 2022
  • Revised 15 August 2022
  • Accepted 3 October 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.190504

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Jorge Miguel-Ramiro, Ferran Riera-Sàbat, and Wolfgang Dür

  • Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21a, 6020 Innsbruck, Austria

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 129, Iss. 19 — 4 November 2022

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×