Building Trust for Continuous Variable Quantum States

Ulysse Chabaud, Tom Douce, Frédéric Grosshans, Elham Kashefi, Damian Markham

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

In this work we develop new methods for the characterisation of continuous variable quantum states using heterodyne measurement in both the trusted and untrusted settings. First, building on quantum state tomography with heterodyne detection, we introduce a reliable method for continuous variable quantum state certification, which directly yields the elements of the density matrix of the state considered with analytical confidence intervals. This method neither needs mathematical reconstruction of the data nor discrete binning of the sample space and uses a single Gaussian measurement setting. Second, beyond quantum state tomography and without its identical copies assumption, we promote our reliable tomography method to a general efficient protocol for verifying continuous variable pure quantum states with Gaussian measurements against fully malicious adversaries, i.e., making no assumptions whatsoever on the state generated by the adversary. These results are obtained using a new analytical estimator for the expected value of any operator acting on a continuous variable quantum state with bounded support over the Fock basis, computed with samples from heterodyne detection of the state.
Original languageEnglish
Title of host publication15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020)
EditorsSteven T. Flammia
Place of PublicationDagstuhl, Germany
PublisherSchloss Dagstuhl - Leibniz-Zentrum für Informatik
Pages3:1--3:15
ISBN (Print)978-3-95977-146-7
DOIs
Publication statusPublished - 8 Jun 2020
Event15th Conference on the Theory of Quantum Computation - Online
Duration: 9 Jun 202012 Jun 2020
https://tqc2020.lu.lv/

Publication series

NameLeibniz International Proceedings in Informatics (LIPIcs)
PublisherSchloss Dagstuhl--Leibniz-Zentrum für Informatik
Volume158
ISSN (Print)1868-8969

Conference

Conference15th Conference on the Theory of Quantum Computation
Abbreviated titleTQC 2020
Period9/06/2012/06/20
Internet address

Keywords / Materials (for Non-textual outputs)

  • Continuous variable quantum information
  • reliable state tomography
  • certification
  • verification

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