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Author ID: planat.michel Recent zbMATH articles by "Planat, Michel"
Published as: Planat, Michel; Planat, M.
External Links: ORCID
Documents Indexed: 60 Publications since 1980
2 Contributions as Editor
Reviewing Activity: 6 Reviews
Co-Authors: 29 Co-Authors with 45 Joint Publications
601 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 155 times in 84 Documents Cited by Year
A survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements. Zbl 1106.81023
Planat, Michel; Rosu, Haret C.; Perrine, Serge
9
2006
Hjelmslev geometry of mutually unbiased bases. Zbl 1086.51004
Saniga, Metod; Planat, Michel
9
2006
Viewing sets of mutually unbiased bases as arcs in finite projective planes. Zbl 1072.51009
Saniga, Metod; Planat, Michel
7
2005
A \(\text{SU}(2)\) recipe for mutually unbiased bases. Zbl 1093.81035
Kibler, Maurice R.; Planat, Michel
7
2006
Projective line over the finite quotient ring \(\mathrm{GF}(2)[x]/\langle x^{3}-x\rangle \) and quantum entanglement: the Mermin “magic” square/pentagram. Zbl 1139.81330
Saniga, M.; Planat, M.; Minarovjech, M.
7
2007
On the Pauli graphs on \(N\)-qudits. Zbl 1154.81324
Planat, Michel; Saniga, Metod
7
2008
Multiple qubits as symplectic polar spaces of order two. Zbl 1122.81026
Saniga, Metod; Planat, Michel
6
2007
Geometry of contextuality from Grothendieck’s coset space. Zbl 1327.81265
Planat, Michel
6
2015
Quantum contextual finite geometries from dessins d’enfants. Zbl 1327.11042
Planat, Michel; Giorgetti, Alain; Holweck, Frédéric; Saniga, Metod
6
2015
Three-qubit entangled embeddings of \(CPT\) and Dirac groups within \(E_8\) Weyl group. Zbl 1190.81029
Planat, Michel
5
2010
Projective line over the finite quotient ring \(\text{GF}(2)[x]/\langle x^{3} - x\rangle\) and quantum entanglement: theoretical background. Zbl 1119.81016
Saniga, M.; Planat, M.
5
2007
Twin “Fano-snowflakes” over the smallest ring of ternions. Zbl 1140.51300
Saniga, Metod; Havlicek, Hans; Planat, Michel; Pracna, Petr
5
2008
Projective ring line encompassing two-qubits. Zbl 1145.81344
Saniga, M.; Planat, M.; Pracna, P.
5
2008
Quantum entanglement and projective ring geometry. Zbl 1134.81319
Planat, Michel; Saniga, Metod; Kibler, Maurice R.
5
2006
Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function? Zbl 1206.81029
Planat, Michel
4
2011
Distinguished three-qubit ‘magicity’ via automorphisms of the split Cayley hexagon. Zbl 1270.81048
Planat, Michel; Saniga, Metod; Holweck, Frédéric
4
2013
Cyclotomy and Ramanujan sums in quantum phase locking. Zbl 1098.81748
Planat, Michel; Rosu, Haret C.
4
2003
The Veldkamp space of two-qubits. Zbl 1138.51003
Saniga, Metod; Planat, Michel; Pracna, Petr; Havlicek, Hans
4
2007
A classification of the projective lines over small rings. Zbl 1134.51301
Saniga, Metod; Planat, Michel; Kibler, Maurice R.; Pracna, Petr
4
2007
Veldkamp-space aspects of a sequence of nested binary Segre varieties. Zbl 1326.51004
Saniga, Metod; Havlicek, Hans; Holweck, Frédéric; Planat, Michel; Pracna, Petr
3
2015
The Robin inequality for 7-free integers. Zbl 1266.11106
Solé, Patrick; Planat, Michel
3
2012
Finite geometries in quantum theory: from Galois (fields) to Hjelmslev (rings). Zbl 1093.81045
Saniga, Metod; Planat, Michel
3
2006
Group theory for quantum gates and quantum coherence. Zbl 1139.81022
Planat, Michel; Jorrand, Philippe
3
2008
Multi-line geometry of qubit-qutrit and higher-order Pauli operators. Zbl 1140.81338
Planat, Michel; Baboin, Anne-Céline; Saniga, Metod
3
2008
Riemann hypothesis and quantum mechanics. Zbl 1215.82005
Planat, Michel; Solé, Patrick; Omar, Sami
3
2011
Singularity of type \(D_4\) arising from four-qubit systems. Zbl 1287.81035
Holweck, Frédéric; Luque, Jean-Gabriel; Planat, Michel
3
2014
The magic of universal quantum computing with permutations. Zbl 1400.81072
Planat, Michel; Ul Haq, Rukhsan
2
2017
Extreme values of the Dedekind \(\Psi\) function. Zbl 1266.11107
Solé, Patrick; Planat, Michel
2
2011
Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\). Zbl 1185.51008
Saniga, Metod; Lévay, Péter; Planat, Michel; Pracna, Petr
2
2010
‘Magic’ configurations of three-qubit observables and geometric hyperplanes of the smallest split Cayley hexagon. Zbl 1271.51004
Saniga, Metod; Planat, Michel; Pracna, Petr; Lévay, Péter
2
2012
On the geometry and invariants of qubits, quartits and octits. Zbl 1216.81051
Planat, M.
2
2011
A moonshine dialogue in mathematical physics. Zbl 1328.01071
Planat, Michel
2
2015
Improving Riemann prime counting. Zbl 1351.11058
Planat, Michel; Solé, Patrick
1
2015
From Planck to Ramanujan: a quantum \(1/f\) noise in equilibrium. Zbl 1256.82003
Planat, Michel
1
2002
Clifford groups of quantum gates, BN-pairs and smooth cubic surfaces. Zbl 1156.81352
Planat, Michel; Solé, Patrick
1
2009
\(1/f\) frequency noise in a communication receiver and the Riemann hypothesis. Zbl 1112.94300
Planat, Michel
1
2000
Geometric contextuality from the Maclachlan-Martin Kleinian groups. Zbl 1338.81026
Planat, Michel
1
2016
Universal quantum computing and three-manifolds. Zbl 1425.81021
Planat, Michel; Aschheim, Raymond; Amaral, Marcelo M.; Irwin, Klee
1
2018
Thermal \(1/f\) noise from the theory of partitions: application to a quartz resonator. Zbl 1010.82018
Planat, Michel
1
2003
Huyghens, Bohr, Riemann and Galois: phase-locking. Zbl 1093.81042
Planat, Michel
1
2006
On the fine structure of the projective line over \(\text{GF(2)}\otimes\text{GF(2)}\otimes\text{GF(2)}\). Zbl 1138.51300
Saniga, Metod; Planat, Michel
1
2008
A sequence of qubit-qudit Pauli groups as a nested structure of doilies. Zbl 1220.81044
Saniga, Metod; Planat, Michel
1
2011
Clifford group dipoles and the enactment of Weyl/Coxeter group \(W(E_8)\) by entangling gates. Zbl 1225.81038
Planat, Michel
1
2011
Qudits of composite dimension, mutually unbiased bases and projective ring geometry. Zbl 1128.81006
Planat, Michel; Baboin, Anne-Céline
1
2007
Projective planes over “Galois” double numbers and a geometrical principle of complementarity. Zbl 1151.51300
Saniga, Metod; Planat, Michel
1
2008
Universal quantum computing and three-manifolds. Zbl 1425.81021
Planat, Michel; Aschheim, Raymond; Amaral, Marcelo M.; Irwin, Klee
1
2018
The magic of universal quantum computing with permutations. Zbl 1400.81072
Planat, Michel; Ul Haq, Rukhsan
2
2017
Geometric contextuality from the Maclachlan-Martin Kleinian groups. Zbl 1338.81026
Planat, Michel
1
2016
Geometry of contextuality from Grothendieck’s coset space. Zbl 1327.81265
Planat, Michel
6
2015
Quantum contextual finite geometries from dessins d’enfants. Zbl 1327.11042
Planat, Michel; Giorgetti, Alain; Holweck, Frédéric; Saniga, Metod
6
2015
Veldkamp-space aspects of a sequence of nested binary Segre varieties. Zbl 1326.51004
Saniga, Metod; Havlicek, Hans; Holweck, Frédéric; Planat, Michel; Pracna, Petr
3
2015
A moonshine dialogue in mathematical physics. Zbl 1328.01071
Planat, Michel
2
2015
Improving Riemann prime counting. Zbl 1351.11058
Planat, Michel; Solé, Patrick
1
2015
Singularity of type \(D_4\) arising from four-qubit systems. Zbl 1287.81035
Holweck, Frédéric; Luque, Jean-Gabriel; Planat, Michel
3
2014
Distinguished three-qubit ‘magicity’ via automorphisms of the split Cayley hexagon. Zbl 1270.81048
Planat, Michel; Saniga, Metod; Holweck, Frédéric
4
2013
The Robin inequality for 7-free integers. Zbl 1266.11106
Solé, Patrick; Planat, Michel
3
2012
‘Magic’ configurations of three-qubit observables and geometric hyperplanes of the smallest split Cayley hexagon. Zbl 1271.51004
Saniga, Metod; Planat, Michel; Pracna, Petr; Lévay, Péter
2
2012
Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function? Zbl 1206.81029
Planat, Michel
4
2011
Riemann hypothesis and quantum mechanics. Zbl 1215.82005
Planat, Michel; Solé, Patrick; Omar, Sami
3
2011
Extreme values of the Dedekind \(\Psi\) function. Zbl 1266.11107
Solé, Patrick; Planat, Michel
2
2011
On the geometry and invariants of qubits, quartits and octits. Zbl 1216.81051
Planat, M.
2
2011
A sequence of qubit-qudit Pauli groups as a nested structure of doilies. Zbl 1220.81044
Saniga, Metod; Planat, Michel
1
2011
Clifford group dipoles and the enactment of Weyl/Coxeter group \(W(E_8)\) by entangling gates. Zbl 1225.81038
Planat, Michel
1
2011
Three-qubit entangled embeddings of \(CPT\) and Dirac groups within \(E_8\) Weyl group. Zbl 1190.81029
Planat, Michel
5
2010
Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\). Zbl 1185.51008
Saniga, Metod; Lévay, Péter; Planat, Michel; Pracna, Petr
2
2010
Clifford groups of quantum gates, BN-pairs and smooth cubic surfaces. Zbl 1156.81352
Planat, Michel; Solé, Patrick
1
2009
On the Pauli graphs on \(N\)-qudits. Zbl 1154.81324
Planat, Michel; Saniga, Metod
7
2008
Twin “Fano-snowflakes” over the smallest ring of ternions. Zbl 1140.51300
Saniga, Metod; Havlicek, Hans; Planat, Michel; Pracna, Petr
5
2008
Projective ring line encompassing two-qubits. Zbl 1145.81344
Saniga, M.; Planat, M.; Pracna, P.
5
2008
Group theory for quantum gates and quantum coherence. Zbl 1139.81022
Planat, Michel; Jorrand, Philippe
3
2008
Multi-line geometry of qubit-qutrit and higher-order Pauli operators. Zbl 1140.81338
Planat, Michel; Baboin, Anne-Céline; Saniga, Metod
3
2008
On the fine structure of the projective line over \(\text{GF(2)}\otimes\text{GF(2)}\otimes\text{GF(2)}\). Zbl 1138.51300
Saniga, Metod; Planat, Michel
1
2008
Projective planes over “Galois” double numbers and a geometrical principle of complementarity. Zbl 1151.51300
Saniga, Metod; Planat, Michel
1
2008
Projective line over the finite quotient ring \(\mathrm{GF}(2)[x]/\langle x^{3}-x\rangle \) and quantum entanglement: the Mermin “magic” square/pentagram. Zbl 1139.81330
Saniga, M.; Planat, M.; Minarovjech, M.
7
2007
Multiple qubits as symplectic polar spaces of order two. Zbl 1122.81026
Saniga, Metod; Planat, Michel
6
2007
Projective line over the finite quotient ring \(\text{GF}(2)[x]/\langle x^{3} - x\rangle\) and quantum entanglement: theoretical background. Zbl 1119.81016
Saniga, M.; Planat, M.
5
2007
The Veldkamp space of two-qubits. Zbl 1138.51003
Saniga, Metod; Planat, Michel; Pracna, Petr; Havlicek, Hans
4
2007
A classification of the projective lines over small rings. Zbl 1134.51301
Saniga, Metod; Planat, Michel; Kibler, Maurice R.; Pracna, Petr
4
2007
Qudits of composite dimension, mutually unbiased bases and projective ring geometry. Zbl 1128.81006
Planat, Michel; Baboin, Anne-Céline
1
2007
A survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements. Zbl 1106.81023
Planat, Michel; Rosu, Haret C.; Perrine, Serge
9
2006
Hjelmslev geometry of mutually unbiased bases. Zbl 1086.51004
Saniga, Metod; Planat, Michel
9
2006
A \(\text{SU}(2)\) recipe for mutually unbiased bases. Zbl 1093.81035
Kibler, Maurice R.; Planat, Michel
7
2006
Quantum entanglement and projective ring geometry. Zbl 1134.81319
Planat, Michel; Saniga, Metod; Kibler, Maurice R.
5
2006
Finite geometries in quantum theory: from Galois (fields) to Hjelmslev (rings). Zbl 1093.81045
Saniga, Metod; Planat, Michel
3
2006
Huyghens, Bohr, Riemann and Galois: phase-locking. Zbl 1093.81042
Planat, Michel
1
2006
Viewing sets of mutually unbiased bases as arcs in finite projective planes. Zbl 1072.51009
Saniga, Metod; Planat, Michel
7
2005
Cyclotomy and Ramanujan sums in quantum phase locking. Zbl 1098.81748
Planat, Michel; Rosu, Haret C.
4
2003
Thermal \(1/f\) noise from the theory of partitions: application to a quartz resonator. Zbl 1010.82018
Planat, Michel
1
2003
From Planck to Ramanujan: a quantum \(1/f\) noise in equilibrium. Zbl 1256.82003
Planat, Michel
1
2002
\(1/f\) frequency noise in a communication receiver and the Riemann hypothesis. Zbl 1112.94300
Planat, Michel
1
2000
all top 5

Cited by 108 Authors

23 Planat, Michel
18 Saniga, Metod
6 Holweck, Frédéric
5 Kibler, Maurice R.
5 Pracna, Petr
4 Havlicek, Hans
3 Bartnicka, Edyta
3 Lévay, Péter
3 Revzen, Michael
2 Giorgetti, Alain
2 Roy, Aidan
1 Alfi, Alireza
1 Amaral, Marcelo M.
1 An, Hao
1 Anselmi, Fabio
1 Aoudjit, Safia
1 Aschheim, Raymond
1 Axler, Christian
1 Baboin, Anne-Céline
1 Belhaj, Adil
1 Bengtsson, Ingemar
1 Bensed, M.
1 Benslimane, Zakariae
1 Berkane, Djamel
1 Boulmier, Jérôme
1 Brierley, Stephen D.
1 Bruinier, Jan Hendrik
1 Cao, Haitao
1 Cao, Xiwang
1 Cassam-Chenaï, Patrick
1 Chapman, Adrian
1 Choi, Seongsoo
1 Chou, Wunseng
1 Chung, Jinwook
1 Cresson, Jacky
1 Crompton, Peter R.
1 De Baerdemacker, Stijn
1 De Vos, Alexis
1 Dhont, Guillaume
1 Dubois, Catherine
1 Durt, Thomas
1 Dusart, Pierre
1 Elman, Samuel J.
1 Englert, Berthold-Georg
1 Fan, Jinping
1 Fickus, Matthew C.
1 Flammia, Steven T.
1 Fowler, Christopher F.
1 Garcia, Stephan Ramon
1 Green, Richard M.
1 Hall, Joanne L.
1 Howe, Roger Evans
1 Hughes, Barry D.
1 Irwin, Klee
1 Jaffali, Hamza
1 Kalev, Amir
1 Karaali, Gizem
1 Keppens, Dirk
1 Khanna, Faqir C.
1 Kosiorek, Jarosław
1 Krenkel, T. E.
1 Leung, Debbie W.
1 Luque, Jean-Gabriel
1 Mahecha, Jorge
1 Mančinska, Laura
1 Man’ko, Margarita A.
1 Man’ko, Vladimir Ivanovich
1 Mann, Ady
1 Matraś, Andrzej
1 Matthews, William
1 Minarovjech, M.
1 Mixon, Dustin G.
1 Mohammadi, Leila
1 Morrill, Thomas
1 Ninham, Barry W.
1 Nounouh, Ismaël
1 Odehnal, Boris
1 Ono, Ken
1 Ouyang, Yingkai
1 Ozols, Maris A.
1 Pankov, Mark
1 Patras, Frédéric
1 Perrine, Serge
1 Pinard, Maxime
1 Platt, David John
1 Rao, Asha
1 Rosu, Haret C.
1 Saouter, Yannick
1 Sarkar, Rahul
1 Scott, Andrew James
1 Sedra, Moulay Brahim
1 Segui, Antonio
1 Solé, Patrick
1 Sümmermann, Moritz L.
1 Sutherland, Andrew V.
1 Szöllősi, Ferenc
1 Thibon, Jean-Yves
1 Ul Haq, Rukhsan
1 van den Berg, Ewout
1 Walsh, Timothy R. S.
...and 8 more Authors
all top 5

Cited in 45 Serials

6 Journal of Mathematical Physics
6 International Journal of Geometric Methods in Modern Physics
5 Theoretical and Mathematical Physics
4 Linear Algebra and its Applications
3 International Journal of Modern Physics B
3 International Journal of Theoretical Physics
3 Chaos, Solitons and Fractals
3 Results in Mathematics
3 Quantum Information Processing
3 Mathematics
3 Quantum Studies: Mathematics and Foundations
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Proceedings of the American Mathematical Society
2 Journal of Mathematical Sciences (New York)
2 The Ramanujan Journal
2 Nonlinear Dynamics
2 Physical Review A, Third Series
1 Letters in Mathematical Physics
1 Physica A
1 Reports on Mathematical Physics
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Journal of Number Theory
1 Kybernetika
1 Acta Mathematicae Applicatae Sinica. English Series
1 Formal Aspects of Computing
1 Aequationes Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal de Théorie des Nombres de Bordeaux
1 The Journal of Fourier Analysis and Applications
1 Journal of Mathematical Chemistry
1 Journal of Integer Sequences
1 Integers
1 Entropy
1 International Journal of Quantum Information
1 Foundations of Physics
1 Journal of Physics A: Mathematical and Theoretical
1 Ars Mathematica Contemporanea
1 Advances in Mathematical Physics
1 Symmetry
1 Axioms
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 Research in the Mathematical Sciences

Citations by Year