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Finite Groups for the Kummer Surface: the Genetic Code and a Quantum Gravity Analogy

Michel Planat , David Chester , Raymond Aschheim , Marcelo M Amaral , Fang Fang , et al.
Quantum Reports, 2021, 3 (1), pp.68-79. ⟨10.3390/quantum3010005⟩
Journal articles hal-03100697v1
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Quantum contextual finite geometries from dessins d'enfants.

Michel Planat , Alain Giorgetti , Frédéric Holweck , Metod Saniga
International Journal of Geometric Methods in Modern Physics, 2015, 12, pp.1550067. ⟨10.1142/S021988781550067X⟩
Journal articles hal-00873461v4
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Balanced Tripartite Entanglement, the Alternating Group A4 and the Lie Algebra sl(3,C) ⊕ u(1)

Michel Planat , Peter Levay , Metod Saniga
Reports on Mathematical Physics, 2010, 67 (1), pp.39-51
Journal articles hal-00437860v1
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On the geometry and invariants of qubits, quartits and octits

Michel Planat
International Journal of Geometric Methods in Modern Physics, 2011, 8 (2), pp.303-313
Journal articles hal-00482803v2
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On small proofs of Bell-Kochen-Specker theorem for two, three and four qubits

Michel Planat
The European Physical Journal Plus, 2012, 127 (8), 86 (11 p.). ⟨10.1140/epjp/i2012-12086-x⟩
Journal articles hal-00688962v3
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Drawing quantum contextuality with 'dessins d'enfants

Michel Planat
IT FROM BIT or BIT FROM IT? on Physics and Information, 2015, 978-3-319-12946-4
Book sections hal-00984378v1
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Clifford group dipoles and the enactment of Weyl/Coxeter group W(E8) by entangling gates

Michel Planat
General Mathematics Notes, 2011, 2 (1), pp.96-113
Journal articles hal-00378095v4
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Unitary reflection groups for quantum fault tolerance

Michel Planat , Maurice R. Kibler
Journal of computational and theoretical nanoscience, 2010, 7, pp.1759-1770
Journal articles hal-00305181v3

On the group theoretical roots of multiple qubit quantum coherence

Michel Planat
MATHEMATICAL FOUNDATIONS OF QUANTUM CONTROL AND QUANTUM INFORMATION THEORY, May 2008, Spain
Conference papers hal-00275383v1
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QUANTUM STATES ARISING FROM THE PAULI GROUPS, SYMMETRIES AND PARADOXES

Michel R. P. Planat
The XXIXth International Colloquium on Group-Theoretical Methods in Physics, Aug 2012, China
Conference papers hal-00734602v1
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Geometric contextuality from the Maclachlan-Martin Kleinian groups

Michel Planat
Quantum Studies: Mathematics and Foundations, 2016, 3 (2), pp.179-187. ⟨10.1007/s40509-015-0067-1⟩
Journal articles hal-01195969v3
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Zoology of Atlas-groups: dessins d'enfants, finite geometries and quantum commutation

Michel Planat , Hishamuddin Zainuddin
2016
Preprints, Working Papers, ... hal-01256894v1

Calcul et intrication quantiques: repr´esentation unitaire du groupe de Coxeter/Weyl W(E8)

Michel Planat
Une demi-journée sur les groupes, la géométrie discrète et l'information quantique, Jun 2009, France
Conference papers hal-00380658v1
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Entangling gates in even Euclidean lattices such as the Leech lattice

Michel Planat
Physica Scripta, 2012, 147, pp.014025
Journal articles hal-00459045v3
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Clifford groups of quantum gates, BN-pairs and smooth cubic surfaces

Michel Planat , Patrick Solé
Journal of Physics A: Mathematical and Theoretical, 2009, 42, pp.042003
Journal articles hal-00338632v2

Modular geometry of the symplectic group\\ associated to a q-level system

Michel Planat
GROUP28: The XXVIII International Colloquium on Group-Theoretical Methods in Physics, Jul 2010, United Kingdom. pp.012050
Conference papers hal-00510584v1
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On group theory for quantum gates and quantum coherence

Michel Planat , Philippe Jorrand
Journal of Physics A: Mathematical and Theoretical, 2008, 41, pp.182001
Journal articles hal-00263678v2
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Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?

Michel Planat
Journal of Physics A: Mathematical and Theoretical, 2010, 44 (4), pp.045301
Journal articles hal-00519459v2

Three-qubit entangled embedding of CPT and Dirac groups within E8 Weyl group

Michel Planat
Foundational principles in Quantum Information, Jun 2009, France
Conference papers hal-00389548v1

Balanced tripartite entanglement, the alternating group $A_4$\\ and the Lie algebra $sl(3,\mathbb{C})\oplus u(1)$

Michel Planat
The 3rd de Brún Workshop: Algebra, Algorithms, Applications, Nov 2009, Ireland
Conference papers hal-00430882v1

QUANTUM COMPUTING LAND with CRISTALLOGRAPHIC GROUPS

Michel Planat
Finite Projective Ring Geometries: An Intriguing Emerging Link Between Quantum Information Theory, Black-Hole Physics, and Chemistry of Coupling, Aug 2009, ZIF Bielefeld, Germany
Conference papers hal-00430569v1
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Three-qubit entangled embeddings of CPT and Dirac groups within E8 Weyl group

Michel Planat
International Journal of Theoretical Physics, 2010, 49 (5), pp.1044-54
Journal articles hal-00392113v2
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Complete quantum information in the DNA genetic code

Michel Planat , Raymond Aschheim , Marcelo M Amaral , Fang Fang , Klee Irwin
Symmetry, 2020, 12 (12), pp.1993. ⟨10.3390/sym12121993⟩
Journal articles hal-02901397v1
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Quantum Information in the Protein Codes, $3$-manifolds and the Kummer Surface

Fang Fang , Michel Planat , Raymond Aschheim , Marcelo M Amaral , Klee Irwin
Symmetry, 2021, 13, pp.1146. ⟨10.20944/preprints202103.0612.v1⟩
Journal articles hal-03184138v2

On group theory, quantum gates and quantum coherence

Michel Planat
Quantum Information and Graph Theory: emerging connections, Apr 2008, Waterloo, Canada
Conference papers hal-00272929v1