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Huyghens, Bohr, Riemann and Galois: Phase-Locking

Michel R. P. Planat
International Journal of Modern Physics B, 2006, 20, pp.1833-1850
Journal articles hal-00011137v1

Onset of a band structure as a result of Mie resonances

Didier Felbacq , Brahim Guizal , Guy Bouchitté
Nanophotonics 2008, May 2008, Nanjing, China
Conference papers hal-00807764v1
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The Veldkamp Space of Two-Qubits

Metod Saniga , Michel R. P. Planat , Petr Pracna , Hans Havlicek
SIGMA, 2007, 3, 075, 7 p
Journal articles hal-00139548v3
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Sets of Mutually Unbiased Bases as Arcs in Finite Projective Planes?

Metod Saniga , Michel R. P. Planat
Chaos, Solitons & Fractals, 2005, 26, pp.1267 - 1270
Journal articles hal-00002952v2

Quantum computing with Bianchi groups

Michel Planat , Raymond Aschheim , Marcelo Amaral , Klee Irwin
Quantum Technology International Conference 2018, Sep 2018, Paris, France. pp.0012, ⟨10.1051/epjconf/201919800012⟩
Conference papers hal-02290749v1

Quantum computing, Seifert surfaces and singular fibers

Michel Planat , Raymond Aschheim , Marcelo M. Amaral , Klee Irwin
Quantum Rep., 2019, 1 (1), pp.12-22. ⟨10.3390/quantum1010003⟩
Journal articles hal-02290823v1

A conditionally integrable Schrödinger potential of a bi-confluent Heun class

T.A. Ishkhanyan , A.M. Manukyan , A.M. Ishkhanyan
25th International Conference on Integrable Systems and Quantum Symmetries, Jun 2017, Prague, Czech Republic. pp.012019, ⟨10.1088/1742-6596/965/1/012019⟩
Conference papers hal-01758266v1
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The resolvent of the Nelson Hamiltonian improves positivity

Jonas Lampart
Mathematical Physics, Analysis and Geometry, 2021, 24 (1), pp.2. ⟨10.1007/s11040-021-09374-6⟩
Journal articles hal-02958107v2
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Quantum phase uncertainty in mutually unbiased measurements and Gauss sums

Michel R. P. Planat , Haret Rosu
2005, pp.183-193
Conference papers hal-00004339v2
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Hjelmslev Geometry of Mutually Unbiased Bases

Metod Saniga , Michel Planat
Journal of Physics A: Mathematical and Theoretical, 2006, 39, pp.435-440. ⟨10.1088/0305-4470/39/2/013⟩
Journal articles hal-00005539v3
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A Classification of the Projective Lines over Small Rings II. Non-Commutative Case

Metod Saniga , Michel R. P. Planat , Petr Pracna
Preprints, Working Papers, ... hal-00080736v1
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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
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Projective Planes Over "Galois" Double Numbers and a Geometrical Principle of Complementarity

Metod Saniga , Michel Planat
Chaos, Solitons & Fractals, 2008, 36, pp.374-381
Journal articles hal-00016658v3

1/f noise, Ramanujan sums and modular functions in non-linear circuits

Michel R. P. Planat
WSEAS International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering, 2002, Greece
Conference papers hal-00078253v1
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Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon

Metod Saniga , Michel Planat , Petr Pracna , Peter Levay
Symmetry, Integrability and Geometry : Methods and Applications, 2012, 8, pp.083. ⟨10.3842/SIGMA.2012.083⟩
Journal articles hal-00708602v1

Clifford quantum computing

Michel R. P. Planat
Prolegomena for quantum computing, Nov 2007, Besançon, France
Conference papers hal-00191900v1

On the analytical expression of the multicompacton and some exact compact solutions of a nonlinear diffusive Burgers’type equation

Désiré Ndjanfang , David Yémélé , Patrick Marquié , T.C. Kofané
Communications in Nonlinear Science and Numerical Simulation, 2018, 65, pp.309 - 322. ⟨10.1016/j.cnsns.2018.05.017⟩
Journal articles hal-01862690v1

The tennis racket effect in a three-dimensional rigid body

Léo van Damme , Pavao Mardešić , Dominique Sugny
Physica D: Nonlinear Phenomena, 2017, 338, pp.17 - 25. ⟨10.1016/j.physd.2016.07.010⟩
Journal articles hal-01447250v1

Entanglement of four qubit systems: a geometric atlas with polynomial compas I (the finite world)

Frédéric Holweck , Jean-Gabriel Luque , Jean-Yves Thibon
Journal of Mathematical Physics, 2014, 55, pp.012202. ⟨10.1063/1.4858336⟩
Journal articles hal-00840199v1

The hyperbolic geometry of 1/f noise in phase-locking

Michel R. P. Planat
International Conference on Noise in Physical Systems: ICNF 2003, 2003, Czech Republic. pp.533
Conference papers hal-00078255v1
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Multiple Qubits as Symplectic Polar Spaces of Order Two

Metod Saniga , Michel R. P. Planat
Advanced Studies in Theoretical Physics, 2007, 1, pp.1 - 4
Journal articles hal-00121565v1

Universal quantum computing and three-manifolds

Michel Planat , Raymond Aschheim , Marcelo M. Amaral , Klee Irwin
Symmetry, 2018, 10 (12), pp.773. ⟨10.3390/sym10120773⟩
Journal articles hal-01867267v1
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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

Singularity of type $D_4$ arising from four qubit systems

Frédéric Holweck , Jean-Gabriel Luque , Michel Planat
Journal of Physics A: Mathematical and Theoretical, 2014, 47, pp.135301. ⟨10.1088/1751-8113/47/13/135301⟩
Journal articles hal-00914662v1
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Grassmannian Connection Between Three- and Four-Qubit Observables, Mermin's Contextuality and Black Holes

Peter Levay , Michel Planat , Metod Saniga
Journal of High Energy Physics, 2013, pp.037. ⟨10.1007/JHEP09(2013)037⟩
Journal articles hal-00825701v2
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Ramanujan sums analysis of long-period sequences and 1/f noise

Michel Planat , Milan Minarovjech , Metod Saniga
EPL - Europhysics Letters, 2009, 85, pp.40005
Journal articles hal-00346442v1
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The Projective Line Over the Finite Quotient Ring GF(2)[$x$]/$\langle x^{3} - x \rangle$ and Quantum Entanglement\\ II. The Mermin ``Magic" Square/Pentagram

Metod Saniga , Michel R. P. Planat , Milan Minarovjech
Theoretical and Mathematical Physics, 2007, 151, pp.625-631
Journal articles hal-00021604v1
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A SU(2) recipe for mutually unbiased bases

M. Kibler , M. Planat
International Journal of Modern Physics B, 2006, 20, pp.1802-1807. ⟨10.1142/S0217979206034303⟩
Journal articles in2p3-00025391v3
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Multi-Line Geometry of Qubit-Qutrit and Higher-Order Pauli Operators

Michel R. P. Planat , Anne-Céline Baboin , Metod Saniga
International Journal of Theoretical Physics, 2008, 47, pp.1127-1135
Journal articles hal-00147435v2