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Documents authored by Fehr, Serge

Document
DOI: 10.4230/LIPIcs.TQC.2014.24
On the Parallel Repetition of Multi-Player Games: The No-Signaling Case

Authors: Harry Buhrman, Serge Fehr, and Christian Schaffner

Published in: LIPIcs, Volume 27, 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)

Abstract
We consider the natural extension of two-player nonlocal games to an arbitrary number of players. An important question for such nonlocal games is their behavior under parallel repetition. For two-player nonlocal games, it is known that both the classical and the non-signaling value of any game converges to zero exponentially fast under parallel repetition, given that the game is non-trivial to start with (i.e., has classical/non-signaling value < 1). Very recent results show similar behavior of the quantum value of a two-player game under parallel repetition. For nonlocal games with three or more players, very little is known up to present on their behavior under parallel repetition; this is true for the classical, the quantum and the non-signaling value. In this work, we show a parallel repetition theorem for the non-signaling value of a large class of multi-player games, for an arbitrary number of players. Our result applies to all multi-player games for which all possible combinations of questions have positive probability; this class in particular includes all free games, in which the questions to the players are chosen independently. Specifically, we prove that if the original game G has a non-signaling value v_{ns}(G) < 1, then the non-signaling value of the n-fold parallel repetition is exponentially small in n. Stronger than that, we prove that the probability of winning more than (v_{ns}(G) + delta) * n parallel repetitions is exponentially small in n (for any delta > 0). Our parallel repetition theorem for multi-player games is weaker than the known parallel repetition results for two-player games in that the rate at which the non-signaling value of the game decreases not only depends on the non-signaling value of the original game (and the number of possible responses), but on the complete description of the game. Nevertheless, we feel that our result is a first step towards a better understanding of the parallel repetition of nonlocal games with more than two players.
Cite as

Harry Buhrman, Serge Fehr, and Christian Schaffner. On the Parallel Repetition of Multi-Player Games: The No-Signaling Case. In 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 27, pp. 24-35, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)

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@InProceedings{buhrman_et_al:LIPIcs.TQC.2014.24,
  author =	{Buhrman, Harry and Fehr, Serge and Schaffner, Christian},
  title =	{{On the Parallel Repetition of Multi-Player Games: The No-Signaling Case}},
  booktitle =	{9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)},
  pages =	{24--35},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-73-6},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{27},
  editor =	{Flammia, Steven T. and Harrow, Aram W.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2014.24},
  URN =		{urn:nbn:de:0030-drops-48034},
  doi =		{10.4230/LIPIcs.TQC.2014.24},
  annote =	{Keywords: Parallel repetition, non-signaling value, multi-player non-local games}
}
Document
DOI: 10.4230/DagRep.3.9.59
Quantum Cryptanalysis (Dagstuhl Seminar 13371)

Authors: Serge Fehr, Michele Mosca, Martin Rötteler, and Rainer Steinwandt

Published in: Dagstuhl Reports, Volume 3, Issue 9 (2014)

Abstract
This report documents the program and the outcomes of Dagstuhl Seminar 13371 "Quantum Cryptanalysis". In the first part, the motivation and organizational aspects of this meeting are outlined. Thereafter, abstracts for the presentations are provided (sorted alphabetically by last name of the presenter)
Cite as

Serge Fehr, Michele Mosca, Martin Rötteler, and Rainer Steinwandt. Quantum Cryptanalysis (Dagstuhl Seminar 13371). In Dagstuhl Reports, Volume 3, Issue 9, pp. 59-73, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)

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@Article{fehr_et_al:DagRep.3.9.59,
  author =	{Fehr, Serge and Mosca, Michele and R\"{o}tteler, Martin and Steinwandt, Rainer},
  title =	{{Quantum Cryptanalysis (Dagstuhl Seminar 13371)}},
  pages =	{59--73},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2014},
  volume =	{3},
  number =	{9},
  editor =	{Fehr, Serge and Mosca, Michele and R\"{o}tteler, Martin and Steinwandt, Rainer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.3.9.59},
  URN =		{urn:nbn:de:0030-drops-43575},
  doi =		{10.4230/DagRep.3.9.59},
  annote =	{Keywords: security of cryptographic schemes, quantum algorithms, computational hardness assumptions}
}
Document
DOI: 10.4230/DagRep.1.9.58
Quantum Cryptanalysis (Dagstuhl Seminar 11381)

Authors: Serge Fehr, Michele Mosca, Martin Rötteler, and Rainer Steinwandt

Published in: Dagstuhl Reports, Volume 1, Issue 9 (2012)

Abstract
This report documents the program and the outcomes of Dagstuhl Seminar 11381 ``Quantum Cryptanalysis''. The first section gives an overview of the meeting, including organizational aspects. Subsequently abstracts of presentations at the meeting are provided (in alphabetical order).
Cite as

Serge Fehr, Michele Mosca, Martin Rötteler, and Rainer Steinwandt. Quantum Cryptanalysis (Dagstuhl Seminar 11381). In Dagstuhl Reports, Volume 1, Issue 9, pp. 58-75, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@Article{fehr_et_al:DagRep.1.9.58,
  author =	{Fehr, Serge and Mosca, Michele and R\"{o}tteler, Martin and Steinwandt, Rainer},
  title =	{{Quantum Cryptanalysis (Dagstuhl Seminar 11381)}},
  pages =	{58--75},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2011},
  volume =	{1},
  number =	{9},
  editor =	{Fehr, Serge and Mosca, Michele and R\"{o}tteler, Martin and Steinwandt, Rainer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.1.9.58},
  URN =		{urn:nbn:de:0030-drops-33675},
  doi =		{10.4230/DagRep.1.9.58},
  annote =	{Keywords: Security of cryptographic schemes, quantum algorithms, computational hardness assumptions}
}
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