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Michel Planat

photoMP

mathematical physics

MN2S
Group : NanoSciences
CNRS

  • Tel. : 03.63.08.24.92
  • Email : michel.planat@femto-st.fr
  • Office : N3 BUR29
  • Address : 15B avenue des Montboucons 25030 BESANCON cedex

My recent research was devoted to the arithmetic of frequency synchronization, and to the Riemann hypothesis, for explaining the 1/f noise of ultra-stable oscillators. At the moment, I am engaged into the study of the discrete quantum phase, the mutually unbiased bases, quantum entanglement, the commutation relations inside the generalized Pauli group, Clifford and Coxeter groups. For this purpose, I make use of the algebraic geometry of fields and rings. The ultimate goal is to develop a physical architecture for quantum computing.

You can find here my publication list. If you want to obtain a copy of one of them and you can not obtain it otherwise, please contact me

Publication list :

Category article
2017
  • Two-letter words and a fundamental homomorphism ruking geometric contextuality
    Symmetry, Culture and Science (Volume 28, Issue (3), 2017, Pages :255 - 270)
    Planat, Michel
    bibtex
  • Zoology of Atlas-Groups: Dessins D’enfants, Finite Geometries and Quantum Commutation
    Mathematics (Volume 5, Issue (1), jan 2017, Pages :6 (17 pages))
    Planat, Michel | Zainuddin, Hishamuddin
    pdf | doi | bibtex
  • Magic informationally complete POVMs with permutations
    Royal Society Open Science (sep 2017)
    Planat, Michel | Gedik, Zafer
    doi | bibtex
2016
  • Geometric contextuality from the Maclachlan–Martin Kleinian groups
    Quantum Studies : Mathematics and Foundations (Volume 3, Issue (2), jun 2016, Pages :179 - 187)
    Planat, Michel
    doi | bibtex
2015
  • Quantum contextual finite geometries from dessins d'enfants
    International Journal of Geometric Methods in Modern Physics (Volume 12, Issue (7), aug 2015, Pages :1550067 (18 pages))
    Planat, Michel | Giorgetti, Alain | Holweck, Frédéric | Saniga, Metod
    pdf | doi | bibtex
  • Geometry of contextuality from Grothendieck's coset space
    Quantum Information Processing (Volume 14, Issue (7), jun 2015, Pages :2563 - 2575)
    Planat, Michel
    doi | bibtex
  • Improving Riemann prime counting
    Notes on Number Theory and Discrete Mathematics (Volume 21, Issue (3), jun 2015, Pages :38 - 44)
    Planat, Michel | Solé, Patrick
    bibtex
  • Veldkamp-Space Aspects of a Sequence of Nested Binary Segre Varieties
    (Volume 2015, jun 2015)
    Saniga, Metod | Havlicek, Hans | Holweck, Frédéric | Planat, Michel | Pracna, Petr
    pdf | bibtex
  • A Moonshine Dialogue in Mathematical Physics
    Mathematics (Volume 3, Issue (3), aug 2015, Pages :746 - 757)
    Planat, Michel
    doi | bibtex
2014
  • It from Qubit: How to Draw Quantum Contextuality
    Information (Volume 5, Issue (209), apr 2014, Pages :209 - 218)
    Planat, Michel
    pdf | doi | bibtex
  • Singularity of type D4 arising from four-qubit systems
    Journal of Physics A : Mathematical and Theoretical (Volume 47, Issue (13), apr 2014, Pages :135301)
    Holweck, Frédéric | Luque, Jean-Gabriel | Planat, Michel
    pdf | doi | bibtex
2013
  • Efficient prime counting and the Chebyshev primes
    Journal of Discrete Mathematics (Volume 2013, mar 2013, Pages :ID 491627 (11 pages))
    Planat, Michel | Solé, Patrick
    pdf | doi | bibtex
  • Distinguished three-qubit ‘magicity’ via automorphisms of the split Cayley hexagon
    Quantum Information Processing (Volume 12, Issue (7), jul 2013, Pages :2535 - 2549)
    Planat, Michel | Saniga, Metod | Holweck, Frédéric
    pdf | doi | bibtex
  • Grassmannian connection between three- and four-qubit observables, Mermin’s contextuality and black holes
    Journal of High Energy Physics (JEHP) ( 2013)
    Lévay, Péter | Planat, Michel | Saniga, Metod
    pdf | doi | bibtex
2012
  • Entangling gates in even Euclidean lattices such as the Leech lattice
    Physica Scripta (Volume 147, feb 2012, Pages :014025)
    Planat, Michel
    bibtex
  • Finite Geometry Behind the Harvey-Chryssanthacopoulos Four-Qubit Magic Rectangle
    Quantum Information and Computation (Volume 11, 2012, Pages :1011 - 1016)
    Saniga, Metod | Planat, Michel
    bibtex
  • Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry
    Physics Letters A (Volume 376, 2012, Pages :3485 - 3490)
    Planat, Michel | Saniga, Metod
    bibtex
  • Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon
    Symmetry Integrability and Geometry-Methods and Applications (SIGMA) (Volume 8, nov 2012, Pages :083 (9 pages))
    Saniga, Metod | Planat, Michel | Pracna, Petr | Lévay, Péter
    doi | bibtex
  • On small proofs of Bell-Kochen-Specker theorem for two, three and four qubits
    The European Physical Journal Plus (Volume 127, Issue (8), aug 2012, Pages :86 (15 pages))
    Planat, Michel
    doi | bibtex
  • Pauli graphs, Riemann hypothesis, Goldbach pairs
    Theoretical and Mathematical Physics (Volume 171, Issue (3), jun 2012, Pages :780 - 791)
    Planat, Michel | Anselmi, F. | Solé, Patrick
    doi | bibtex
  • Chebyshev's bias and generalized Riemann hypothesis
    Journal of Algebra, Number Theory: Advances and Applications (Volume 8, Issue (1 - 2), 2012, Pages :41 - 55)
    Alamadhi, Adel | Planat, Michel | Solé, Patrick
    pdf | bibtex
  • Multipartite entanglement arising from dense Euclidean lattices in dimensions 4 to 24
    Physica Scripta (Volume 2012, Issue (T147), feb 2012, Pages :014025)
    Planat, Michel
    doi | bibtex
2011
  • Balanced tripartite entanglement, the alternating group A4 and the lie algebra sl(3,ℂ)⊕u(1)
    Reports on Mathematical Physics (Volume 67, Issue (1), feb 2011, Pages :39 - 51)
    Planat, Michel | Lévay, Péter | Saniga, Metod
    doi | bibtex
  • A sequence of qubit–qudit Pauli groups as a nested structure of doilies
    Journal of Physics A : Mathematical and Theoretical (Volume 44, Issue (22), jun 2011, Pages :225305)
    Saniga, Metod | Planat, Michel
    doi | bibtex
  • About the Dedekind psi function in Pauli graphs
    Revista Mexicana de Física S (Volume 57, Issue (3), 2011, Pages :107 - 112)
    Planat, Michel
    bibtex
  • Clifford Group Dipoles and the Enactment of Weyl/Coxeter Group W(E8) by Entangling Gates
    General Mathematics Notes (Volume 2, Issue (1), jan 2011, Pages :96 - 113)
    Planat, Michel
    bibtex
  • Extreme values of the Dedekind Ï function
    Journal of Combinatorics and Number Theory (Volume 3, Issue (1), jan 2011, Pages :33 - 38)
    Solé, Patrick | Planat, Michel
    pdf | bibtex
  • On the geometry and invariants of qubits, quartits and octits
    International Journal of Geometric Methods in Modern Physics (Volume 08, Issue (02), mar 2011, Pages :303 - 313)
    Planat, Michel
    pdf | doi | bibtex
  • Pauli graphs when the Hilbert space dimension contains a square: Why the Dedekind psi function?
    Journal of Physics A : Mathematical and Theoretical (Volume 44, Issue (4), jan 2011, Pages :045301)
    Planat, Michel
    doi | bibtex
  • Riemann hypothesis and quantum mechanics
    Journal of Physics A : Mathematical and Theoretical (Volume 44, Issue (14), apr 2011, Pages :145203 (9 pages))
    Planat, Michel | Solé, Patrick | Omar, Sami
    doi | bibtex
  • The Robin Inequality for 7-Free Integers
    Integers : The Electronic Journal of combinatorial Number Theory (Volume 11, 2011, Pages :A65 (8 pages))
    Solé, Patrick | Planat, Michel
    bibtex
2010
  • Geometric Hyperplanes of the Near Hexagon L3 × GQ(2, 2)
    Letters in Mathematical Physics (Lett Math Phys) (Volume 91, Issue (1), jan 2010, Pages :93 - 104)
    Saniga, Metod | Lévay, Péter | Planat, Michel | Pracna, Petr
    doi | bibtex
  • Three-Qubit Entangled Embeddings of CPT and Dirac Groups within E 8 Weyl Group
    International Journal of Theoretical Physics (Volume 49, Issue (5), may 2010, Pages :1044 - 1054)
    Planat, Michel
    doi | bibtex
  • Unitary Reflection Groups for Quantum Fault Tolerance
    Journal of Computational and Theoretical Nanoscience (Volume 7, Issue (9), sep 2010, Pages :1759 - 1770)
    Planat, Michel | Kibler, Maurice
    doi | bibtex
Category incollection
2015
  • Drawing quantum contextuality with "dessins d'enfants"
    It from bit or bit from it: On Physics and Information (The Frontiers Collection) (Publisher : Springer / , Editor : Aguire A., Foster B., Merali Z., Volume , Issue , Edition : , Series , Chapter , 2015, Pages 37 - 50 , )
    Planat, Michel
    pdf | bibtex
Category inproceedings
2017
  • From informationally complete povms to the kochen-specker theorem
    (2017)
    Planat, Michel
    bibtex
2016
  • Symmetry and contextuality of quantum information
    (2016)
    Planat, Michel
    bibtex
  • Two-letter words and a fundamental homomorphism ruling geometric contextuality
    (2016)
    Planat, Michel
    pdf | bibtex
2015
  • Contextuality groups of the Maclachlan-Martin census
    Journées Structures discrètes / Rouen, France (2015)
    Planat, Michel
    bibtex
2014
  • Grothendieck’s dessins d’enfants in quantum contextuality
    (2014)
    Planat, Michel
    pdf | bibtex
  • Contextuality from dessins d'enfants
    Workshop on "GeometrieS for Quantum Information" / Montbéliard, France (2014)
    Planat, Michel
    bibtex
  • Quantum contextuality with dessins d'enfants
    Journée « Fondements de la théorie quantique " / Paris, France (2014)
    Planat, Michel
    bibtex
  • Grothendieck's dessins in quantum contextuality
    / Sophia, Bulgaria (2014)
    Planat, Michel
    bibtex
2012
  • Modular geometry of the symplectic group associated toa q-level system
    (2012, Pages pages 12050)
    Planat, Michel
    bibtex
  • Quantum states arising from the Pauli groups : symmetries and paradoxs
    The XXIXth International Colloquium on Group-Theoretical Methods in Physics / Tianjin, China (2012)
    Planat, Michel
    bibtex
  • Foundations principles in quantum information
    (2012)
    Planat, Michel
    bibtex
  • Multipartite entanglement arising from dense Euclidean lattices in dimensions 4 to 24
    The 18th Central European Workshop on Quantum Optics / Madrid, Spain (2012)
    Planat, Michel
    bibtex
2011
  • Entangling gets in even euclidian lattices such as the leech lattice
    / Noida, India (2011)
    Planat, Michel
    bibtex
  • Number theory in quantum computing
    ICQOQC-11 / Noida, India (2011)
    Planat, Michel
    bibtex
2010
  • Modular geometry of the symplectic group attached to a q-level system and to multiple q-dit mixtures
    Proceedings of the 28th International Colloquium on Group-Theoretical Methods in Physics / Newcastle upon Tyne, UK (Publisher : IOP Publishing LTD, Volume 284, Issue 1, 2010, Pages pages 012050)
    Planat, Michel
    doi | bibtex
  • Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
    Quantum Optics V (2010)
    Planat, Michel
    bibtex
Category misc
2014
  • Non-localité et contextualité, ou théorèmes de Bell et Kochen- Specker, et dessins d’enfants
    (feb 2014)
    Planat, Michel
    bibtex