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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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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
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Frédéric Dubas
Physique mathématique [math-ph]. Université de Franche-Comté, 2006. Français. ⟨NNT : ⟩
Theses tel-00352970v1
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Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2, 2)

Metod Saniga , Peter Levay , Michel R. P. Planat , Petr Pracna
Letters in Mathematical Physics, 2010, 91, pp.93-104. ⟨10.1007/s11005-009-0362-z⟩
Journal articles hal-00410681v2
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Qudits of composite dimension, mutually unbiased bases and projective ring geometry

Michel R. P. Planat , Anne-Céline Baboin
Journal of Physics A: Mathematical and Theoretical, 2007, 40, pp.F1-F8
Journal articles hal-00172596v2

Nonlinear topological symmetry protection in a dissipative system

Stéphane Coen , Bruno Garbin , Gang Xu , Liam Quinn , Nathan Goldman , et al.
Preprints, Working Papers, ... hal-04076324v1

Calculus of Variation and Path-Integrals with Non-Linear Generalized Functions

Quentin Ansel
Preprints, Working Papers, ... hal-04159912v1

Jordan Decompositions of Tensors

Frederic Holweck , Luke Oeding
Preprints, Working Papers, ... hal-03720101v1

A nonrelativistic quantum field theory with point interactions in three dimensions

Jonas Lampart
Annales Henri Poincare, 2019, 20 (11), pp.3509-3541. ⟨10.1007/s00023-019-00843-x⟩
Journal articles hal-01796868v1

Finite geometric toy model of spacetime as an error correcting code

Péter Lévay , Frédéric Holweck
Phys.Rev.D, 2019, 99 (8), pp.086015. ⟨10.1103/PhysRevD.99.086015⟩
Journal articles hal-01975019v1

Maximally entangled real states and SLOCC invariants: the 3-qutrit case

Hamza Jaffali , Frédéric Holweck , Luke Oeding
Preprints, Working Papers, ... hal-04170750v1

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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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