Secure Certification of Mixed Quantum States with Application
to Two-Party Randomness Generation

D 2018

Secure Certification of Mixed Quantum States with Application to Two-Party Randomness Generation

DUPONT DUPUIS, Frédéric, Serge FEHR, Philippe LAMONTAGNE a Louis SALVAIL

Základní údaje

Originální název

Secure Certification of Mixed Quantum States with Application to Two-Party Randomness Generation

Autoři

DUPONT DUPUIS, Frédéric (124 Kanada, garant, domácí), Serge FEHR, Philippe LAMONTAGNE a Louis SALVAIL

Vydání

Cham, 16th International Theory of Cryptography Conference (TCC 2018), od s. 282-314, 33 s. 2018

Nakladatel

Springer

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10201 Computer sciences, information science, bioinformatics

Stát vydavatele

Švýcarsko

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

tištěná verze "print"

Impakt faktor

Impact factor: 0.402 v roce 2005

Kód RIV

RIV/00216224:14330/18:00118583

Organizační jednotka

Fakulta informatiky

ISBN

978-3-030-03809-0

ISSN

DOI

http://dx.doi.org/10.1007/978-3-030-03810-6_11

UT WoS

000594194600011

Klíčová slova anglicky

STRONG CONVERSE; COIN

Štítky

core_A, firank_A

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 5. 11. 2021 15:01, RNDr. Pavel Šmerk, Ph.D.

Anotace

V originále

We investigate sampling procedures that certify that an arbitrary quantum state on n subsystems is close to an ideal mixed state phi(circle times n) for a given reference state phi, up to errors on a few positions. This task makes no sense classically: it would correspond to certifying that a given bitstring was generated according to some desired probability distribution. However, in the quantum case, this is possible if one has access to a prover who can supply a purification of the mixed state. In this work, we introduce the concept of mixed-state certification, and we show that a natural sampling protocol offers secure certification in the presence of a possibly dishonest prover: if the verifier accepts then he can be almost certain that the state in question has been correctly prepared, up to a small number of errors. We then apply this result to two-party quantum coin-tossing. Given that strong coin tossing is impossible, it is natural to ask "how close can we get". This question has been well studied and is nowadays well understood from the perspective of the bias of individual coin tosses. We approach and answer this question from a different-and somewhat orthogonal-perspective, where we do not look at individual coin tosses but at the global entropy instead. We show how two distrusting parties can produce a common high-entropy source, where the entropy is an arbitrarily small fraction below the maximum.

Citovat

DUPONT DUPUIS, Frédéric, Serge FEHR, Philippe LAMONTAGNE a Louis SALVAIL. Secure Certification of Mixed Quantum States with Application to Two-Party Randomness Generation. In 16th International Theory of Cryptography Conference (TCC 2018). Cham: Springer, 2018, s. 282-314. ISBN 978-3-030-03809-0. Dostupné z: https://dx.doi.org/10.1007/978-3-030-03810-6_11.

@inproceedings{1768258,
   author = {Dupont Dupuis, Frédéric and Fehr, Serge and Lamontagne, Philippe and Salvail, Louis},
   address = {Cham},
   booktitle = {16th International Theory of Cryptography Conference (TCC 2018)},
   doi = {http://dx.doi.org/10.1007/978-3-030-03810-6_11},
   keywords = {STRONG CONVERSE; COIN},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Cham},
   isbn = {978-3-030-03809-0},
   pages = {282-314},
   publisher = {Springer},
   title = {Secure Certification of Mixed Quantum States with Application to Two-Party Randomness Generation},
   year = {2018}
}

TY  - JOUR
ID  - 1768258
AU  - Dupont Dupuis, Frédéric - Fehr, Serge - Lamontagne, Philippe - Salvail, Louis
PY  - 2018
TI  - Secure Certification of Mixed Quantum States with Application to Two-Party Randomness Generation
PB  - Springer
CY  - Cham
SN  - 9783030038090
KW  - STRONG CONVERSE
KW  - COIN
N2  - We investigate sampling procedures that certify that an arbitrary quantum state on n subsystems is close to an ideal mixed state phi(circle times n) for a given reference state phi, up to errors on a few positions. This task makes no sense classically: it would correspond to certifying that a given bitstring was generated according to some desired probability distribution. However, in the quantum case, this is possible if one has access to a prover who can supply a purification of the mixed state. In this work, we introduce the concept of mixed-state certification, and we show that a natural sampling protocol offers secure certification in the presence of a possibly dishonest prover: if the verifier accepts then he can be almost certain that the state in question has been correctly prepared, up to a small number of errors. We then apply this result to two-party quantum coin-tossing. Given that strong coin tossing is impossible, it is natural to ask "how close can we get". This question has been well studied and is nowadays well understood from the perspective of the bias of individual coin tosses. We approach and answer this question from a different-and somewhat orthogonal-perspective, where we do not look at individual coin tosses but at the global entropy instead. We show how two distrusting parties can produce a common high-entropy source, where the entropy is an arbitrarily small fraction below the maximum.
ER  -

DUPONT DUPUIS, Frédéric, Serge FEHR, Philippe LAMONTAGNE a Louis SALVAIL. Secure Certification of Mixed Quantum States with Application to Two-Party Randomness Generation. In \textit{16th International Theory of Cryptography Conference (TCC 2018)}. Cham: Springer, 2018, s.~282-314. ISBN~978-3-030-03809-0. Dostupné z: https://dx.doi.org/10.1007/978-3-030-03810-6\_{}11.

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