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Michel Planat

Michel Planat's publications

2024 (3)

  • article - Topology and Dynamics of Transcriptome (Dys)Regulation
    International Journal of Molecular Sciences (Volume 25, Issue (9), may 2024, Pages :4971 (17))
    Planat, Michel | Chester, David
  • article - Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density
    Symmetry (Volume 16, Issue (3), mar 2024, Pages :316 (31))
    Chester, David | Arsiwalla, Xerxes D | Kauffman, Louis H | Planat, Michel | Irwin, Klee
  • article - Dynamics of Fricke–Painlevé VI Surfaces
    Dynamics (Volume 4, Issue (1), jan 2024, Pages :1 - 13)
    Planat, Michel | Chester, David | Irwin, Klee

2023 (2)

  • article - Algebraic Morphology of DNA–RNA Transcription and Regulation
    Symmetry (Volume 15, Issue (3), mar 2023, Pages :sym15030770 (14))
    Planat, Michel | Amaral, Marcelo M. | Irwin, Klee
  • article - SL(2,C) Scheme Processing of Singularities in Quantum Computing and Genetics
    AXIOMS (Volume 12, Issue (3), feb 2023, Pages :12030233 (12))
    Planat, Michel | Amaral, Marcelo M. | Chester, David | Irwin, Klee

2022 (6)

  • article - Symmetry, Special Functions and Number Theory
    Symmetry (Volume 14, Issue (11), nov 2022, Pages :2367 (2))
    Planat, Michel
  • article - Fricke Topological Qubits
    Quantum Reports (Volume 4, Issue (4), oct 2022, Pages :523 - 532)
    Planat, Michel | Chester, David | Amaral, Marcelo M. | Irwin, Klee
  • article - DNA Sequence and Structure under the Prism of Group Theory and Algebraic Surfaces
    International Journal of Molecular Sciences (Volume 23, Issue (21), sep 2022, Pages :13290 (15))
    Planat, Michel | Amaral, Marcelo M. | Fang, Fang | Chester, David | Aschheim, Raymond | Irwin, Klee
  • article - Character Varieties and Algebraic Surfaces for the Topology of Quantum Computing
    Symmetry (Volume 14, Issue (5), apr 2022, Pages :915 (10))
    Planat, Michel | Amaral, Marcelo M. | Fang, Fang | Chester, David | Aschheim, Raymond | Irwin, Klee
  • incollection - From Electrons to Elephants and Elections
    Geometric and Exotic Contextuality in Quantum Reality (Series The Frontiers Collection, apr 2022, Pages 469 - 488)
    Planat, Michel
    pdf | bibtex
  • article - Group Theory of Syntactical Freedom in DNA Transcription and Genome Decoding
    Current Issues in Molecular Biology (Volume 44, Issue (4), mar 2022, Pages :1417 - 1433)
    Planat, Michel | Amaral, Marcelo M. | Fang, Fang | Chester, David | Aschheim, Raymond | Irwin, Klee

2021 (3)

  • article - Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems
    Sci (Volume 3, Issue (4), nov 2021, Pages :39 (13))
    Planat, Michel | Aschheim, Raymond | Amaral, Marcelo M. | Fang, Fang | Irwin, Klee
  • article - Quantum Information in the Protein Codes, 3-Manifolds and the Kummer Surface
    Symmetry (Volume 13, Issue (7), jun 2021, Pages :1146 (17))
    Planat, Michel | Aschheim, Raymond | Amaral, Marcelo M. | Fang, Fang | Irwin, Klee
  • article - Finite Groups for the Kummer Surface: The Genetic Code and a Quantum Gravity Analogy
    Quantum Reports (Volume 3, Issue (1), jan 2021, Pages :68 - 79)
    Planat, Michel | Chester, David | Aschheim, Raymond | Amaral, Marcelo M. | Fang, Fang | Irwin, Klee

2020 (4)

  • article - Complete Quantum Information in the DNA Genetic Code
    Symmetry (Volume 12, Issue (12), dec 2020, Pages :1993 (13))
    Planat, Michel | Aschheim, Raymond | Amaral, Marcelo M. | Fang, Fang | Irwin, Klee
  • article - Informationally Complete Characters for Quark and Lepton Mixings
    Symmetry (Volume 12, Issue (6), jun 2020, Pages :1000 (12))
    Planat, Michel | Aschheim, Raymond | Amaral, Marcelo M. | Irwin, Klee
  • article - Quantum Computation and Measurements from an Exotic Space-Time R4
    Symmetry (Volume 12, Issue (5), may 2020, Pages :736 (13))
    Planat, Michel | Aschheim, Raymond | Amaral, Marcelo M. | Irwin, Klee
  • proceedings - Number Theory and Symmetry
    (Editor : 4934cd08-e0a6-4e19-a198-e26f815976af-editor.pdf, apr 2020)
    Planat, Michel
    doi | bibtex

2019 (3)

  • article - Group Geometrical Axioms for Magic States of Quantum Computing
    Mathematics (Volume 7, Issue (10), oct 2019, Pages :948 (13))
    Planat, Michel | Aschheim, Raymond | Amaral, Marcelo M. | Irwin, Klee
  • inproceedings - Quantum computing thanks to Bianchi groups
    Quantum Technology International Conference ( 2018) / Paris, France (Volume 198, 2019, Pages pages 12 (8))
    Planat, Michel
    pdf | doi | bibtex
  • article - Quantum Computing, Seifert Surfaces, and Singular Fibers
    Quantum Reports (Volume 1, Issue (3), apr 2019, Pages :12 - 22)
    Aschheim, Raymond | Amaral, Marcelo M. | Planat, Michel | Irwin, Klee

2018 (3)

  • article - Universal Quantum Computing and Three-Manifolds
    Symmetry (Volume 10, Issue (12), dec 2018, Pages :773 (15))
    Planat, Michel | Aschheim, Raymond | Amaral, Marcelo M. | Irwin, Klee
  • inproceedings - Knots, links and (informationally complete) quantum measurements
    Quantum & Nonlinear Optics (QNO 2018) / Kuala Lumpur, Malaysia (2018)
    Planat, Michel
    pdf | bibtex
  • article - The Poincaré Half-Plane for Informationally-Complete POVMs
    Entropy (Volume 20, jan 2018, Pages :16 (12))
    Planat, Michel

2017 (5)

  • article - Magic informationally complete POVMs with permutations
    Royal Society Open Science (Volume 4, sep 2017, Pages :170387 (9))
    Planat, Michel | Gedik, Zafer
  • article - The Magic of Universal Quantum Computing with Permutations
    Advances in Mathematical Physics (Volume 2017, Issue (5287862), aug 2017, Pages :1-9)
    Planat, Michel | Ul Haq, Rukhsan
  • inproceedings - From informationally complete povms to the kochen-specker theorem
    2017 Quantum Contextuality in Quantum Mechanics and Beyond (2017) / Prague, Czech Republic (2017)
    Planat, Michel
    pdf | bibtex
  • article - Zoology of Atlas-Groups: Dessins D’enfants, Finite Geometries and Quantum Commutation
    Mathematics (Volume 5, Issue (1), jan 2017, Pages :6 (17))
    Planat, Michel | Zainuddin, Hishamuddin
  • article - Two-letter words and a fundamental homomorphism ruking geometric contextuality
    Symmetry, Culture and Science (Volume 28, Issue (3), 2017, Pages :255 - 270)
    Planat, Michel

2016 (3)

  • inproceedings - Two-letter words and a fundamental homomorphism ruling geometric contextuality
    2016 Symmetry Festival (2016) / Vienna, Austria (2016)
    Planat, Michel
    pdf | bibtex
  • article - Geometric contextuality from the Maclachlan–Martin Kleinian groups
    Quantum Studies : Mathematics and Foundations (Volume 3, Issue (2), jun 2016, Pages :179 - 187)
    Planat, Michel
  • inproceedings - Symmetry and contextuality of quantum information
    Beijing Energy materials and nanotechnology meeting (EMN 2016) / Beijing, China (2016)
    Planat, Michel
    bibtex

2015 (6)

  • inproceedings - Contextuality groups of the Maclachlan-Martin census
    Journées Structures discrètes / Rouen, France (2015)
    Planat, Michel
    bibtex
  • article - 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))
    Planat, Michel | Giorgetti, Alain | Holweck, Frédéric | Saniga, Metod
  • article - A Moonshine Dialogue in Mathematical Physics
    Mathematics (Volume 3, Issue (3), aug 2015, Pages :746 - 757)
    Planat, Michel
  • article - Geometry of contextuality from Grothendieck's coset space
    Quantum Information Processing (Volume 14, Issue (7), jun 2015, Pages :2563 - 2575)
    Planat, Michel
  • article - Improving Riemann prime counting
    Notes on Number Theory and Discrete Mathematics (Volume 21, Issue (3), jun 2015, Pages :38 - 44)
    Planat, Michel | Solé, Patrick
  • incollection - 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., 2015, Pages 37 - 50 )
    Planat, Michel
    bibtex

2014 (8)

  • inproceedings - Quantum contextuality with dessins d'enfants
    Journée « Fondements de la théorie quantique " / Paris, France (2014)
    Planat, Michel
    bibtex
  • inproceedings - Contextuality from dessins d'enfants
    Workshop on "GeometrieS for Quantum Information" / Montbéliard, France (2014)
    Planat, Michel
    bibtex
  • inproceedings - Grothendieck’s dessins d’enfants in quantum contextuality
    (2014)
    Planat, Michel
    pdf | bibtex
  • inproceedings - Grothendieck's dessins in quantum contextuality
    / Sophia, Bulgaria (2014)
    Planat, Michel
    bibtex
  • article - It from Qubit: How to Draw Quantum Contextuality
    Information (Volume 5, Issue (209), apr 2014, Pages :209 - 218)
    Planat, Michel
  • article - 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
  • article - Veldkamp-Space Aspects of a Sequence of Nested Binary Segre Varieties
    (Volume 2014, Issue (arXiv:1403.6714), mar 2014, Pages :16)
    Saniga, Metod | Havlicek, Hans | Holweck, Frédéric | Planat, Michel | Pracna, Petr
  • misc - Non-localité et contextualité, ou théorèmes de Bell et Kochen- Specker, et dessins d’enfants
    (feb 2014)
    Planat, Michel
    bibtex

2013 (3)

  • article - 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
  • article - Efficient prime counting and the Chebyshev primes
    Journal of Discrete Mathematics (Volume 2013, mar 2013, Pages :ID 491627 (11))
    Planat, Michel | Solé, Patrick
  • article - 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

2012 (12)

  • article - 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))
    Saniga, Metod | Planat, Michel | Pracna, Petr | Lévay, Péter
  • inproceedings - Foundations principles in quantum information
    (2012)
    Planat, Michel
    bibtex
  • article - 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))
    Planat, Michel
  • inproceedings - 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
  • inproceedings - 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
  • article - 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
  • article - Entangling gates in even Euclidean lattices such as the Leech lattice
    Physica Scripta (Volume 147, feb 2012, Pages :014025)
    Planat, Michel
  • article - Multipartite entanglement arising from dense Euclidean lattices in dimensions 4 to 24
    Physica Scripta (Volume 2012, Issue (T147), feb 2012, Pages :014025)
    Planat, Michel
  • article - Finite Geometry Behind the Harvey-Chryssanthacopoulos Four-Qubit Magic Rectangle
    Quantum Information and Computation (Volume 11, 2012, Pages :1011 - 1016)
    Saniga, Metod | Planat, Michel
  • article - 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
  • article - 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
  • inproceedings - Modular geometry of the symplectic group associated toa q-level system
    (2012, Pages pages 12050)
    Planat, Michel
    bibtex

2011 (11)

  • article - 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
  • article - Riemann hypothesis and quantum mechanics
    Journal of Physics A : Mathematical and Theoretical (Volume 44, Issue (14), apr 2011, Pages :145203 (9))
    Planat, Michel | Solé, Patrick | Omar, Sami
  • article - 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
  • inproceedings - Entangling gets in even euclidian lattices such as the leech lattice
    / Noida, India (2011)
    Planat, Michel
    bibtex
  • inproceedings - Number theory in quantum computing
    ICQOQC-11 / Noida, India (2011)
    Planat, Michel
    bibtex
  • article - 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
  • article - 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
  • article - 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
  • article - 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
  • article - About the Dedekind psi function in Pauli graphs
    Revista Mexicana de Física S (Volume 57, Issue (3), 2011, Pages :107 - 112)
    Planat, Michel
  • article - The Robin Inequality for 7-Free Integers
    Integers : The Electronic Journal of combinatorial Number Theory (Volume 11, 2011, Pages :A65 (8))
    Solé, Patrick | Planat, Michel

2010 (5)

  • inproceedings - Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
    Quantum Optics V (2010)
    Planat, Michel
    bibtex
  • article - 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
  • inproceedings - 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
  • article - 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
  • article - 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