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Documents authored by Branciard, Cyril

Document
DOI: 10.4230/LIPIcs.MFCS.2021.22
Coherent Control and Distinguishability of Quantum Channels via PBS-Diagrams

Authors: Cyril Branciard, Alexandre Clément, Mehdi Mhalla, and Simon Perdrix

Published in: LIPIcs, Volume 202, 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)

Abstract
Even though coherent control of quantum operations appears to be achievable in practice, it is still not yet well understood. Among theoretical challenges, standard completely positive trace preserving (CPTP) maps are known not to be appropriate to represent coherently controlled quantum channels. We introduce here a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS). We consider different situations of coherent control and disambiguate CPTP maps by considering purified channels, an extension of Stinespring’s dilation. First, we show that in classical control settings, the observational equivalence classes of purified channels correspond to the standard definition of quantum channels (CPTP maps). Then, we propose a refinement of this equivalence class generalising the "half quantum switch" situation, where one is allowed to coherently control which quantum channel is applied; in this case, quantum channel implementations can be distinguished using a so-called transformation matrix. A further refinement characterising observational equivalence with general extended PBS-diagrams as contexts is also obtained. Finally, we propose a refinement that could be used for more general coherent control settings.
Cite as

Cyril Branciard, Alexandre Clément, Mehdi Mhalla, and Simon Perdrix. Coherent Control and Distinguishability of Quantum Channels via PBS-Diagrams. In 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 202, pp. 22:1-22:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{branciard_et_al:LIPIcs.MFCS.2021.22,
  author =	{Branciard, Cyril and Cl\'{e}ment, Alexandre and Mhalla, Mehdi and Perdrix, Simon},
  title =	{{Coherent Control and Distinguishability of Quantum Channels via PBS-Diagrams}},
  booktitle =	{46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)},
  pages =	{22:1--22:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-201-3},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{202},
  editor =	{Bonchi, Filippo and Puglisi, Simon J.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2021.22},
  URN =		{urn:nbn:de:0030-drops-144629},
  doi =		{10.4230/LIPIcs.MFCS.2021.22},
  annote =	{Keywords: Quantum Computing, Diagrammatic Language, Quantum Control, Polarising Beam Splitter, Categorical Quantum Mechanics, Quantum Switch}
}
Document
DOI: 10.4230/DagSemProc.09311.3
Quantum key distribution and cryptography: a survey

Authors: Romain Alléaume, Norbert Lütkenhaus, Renato Renner, Philippe Grangier, Thierry Debuisschert, Gregoire Ribordy, Nicolas Gisin, Philippe Painchault, Thomas Pornin, Louis Slavail, Michel Riguidel, Andrew Shilds, Thomas Länger, Momtchil Peev, Mehrdad Dianati, Anthony Leverrier, Andreas Poppe, Jan Bouda, Cyril Branciard, Mark Godfrey, John Rarity, Harald Weinfurter, Anton Zeilinger, and Christian Monyk

Published in: Dagstuhl Seminar Proceedings, Volume 9311, Classical and Quantum Information Assurance Foundations and Practice (2010)

Abstract
I will try to partially answer, based on a review on recent work, the following question: Can QKD and more generally quantum information be useful to cover some practical security requirements in current (and future) IT infrastructures ? I will in particular cover the following topics - practical performances of QKD - QKD network deployment - SECOQC project - Capabilities of QKD as a cryptographic primitive - comparative advantage with other solution, in order to cover practical security requirements - Quantum information and Side-channels - QKD security assurance - Thoughts about "real" Post-Quantum Cryptography
Cite as

Romain Alléaume, Norbert Lütkenhaus, Renato Renner, Philippe Grangier, Thierry Debuisschert, Gregoire Ribordy, Nicolas Gisin, Philippe Painchault, Thomas Pornin, Louis Slavail, Michel Riguidel, Andrew Shilds, Thomas Länger, Momtchil Peev, Mehrdad Dianati, Anthony Leverrier, Andreas Poppe, Jan Bouda, Cyril Branciard, Mark Godfrey, John Rarity, Harald Weinfurter, Anton Zeilinger, and Christian Monyk. Quantum key distribution and cryptography: a survey. In Classical and Quantum Information Assurance Foundations and Practice. Dagstuhl Seminar Proceedings, Volume 9311, pp. 1-29, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{alleaume_et_al:DagSemProc.09311.3,
  author =	{All\'{e}aume, Romain and L\"{u}tkenhaus, Norbert and Renner, Renato and Grangier, Philippe and Debuisschert, Thierry and Ribordy, Gregoire and Gisin, Nicolas and Painchault, Philippe and Pornin, Thomas and Slavail, Louis and Riguidel, Michel and Shilds, Andrew and L\"{a}nger, Thomas and Peev, Momtchil and Dianati, Mehrdad and Leverrier, Anthony and Poppe, Andreas and Bouda, Jan and Branciard, Cyril and Godfrey, Mark and Rarity, John and Weinfurter, Harald and Zeilinger, Anton and Monyk, Christian},
  title =	{{Quantum key distribution and cryptography: a survey}},
  booktitle =	{Classical and Quantum Information Assurance Foundations and Practice},
  pages =	{1--29},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{9311},
  editor =	{Samual L. Braunstein and Hoi-Kwong Lo and Kenny Paterson and Peter Ryan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09311.3},
  URN =		{urn:nbn:de:0030-drops-23618},
  doi =		{10.4230/DagSemProc.09311.3},
  annote =	{Keywords: QKD, QKD networks, Security assurance, Post-Quantum Cryptography}
}
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