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- Periodic orbits contribution to the 2-point correlation form factor for pseudo-integrable systems
E. Bogomolny, O. Giraud and C. Schmit, Commun. Math. Phys. 222, 327-369 (2001).
nlin/0101008 - Semiclassical Calculations of the Two-Point Correlation Form Factor for Diffractive Systems
E. Bogomolny and O. Giraud, Nonlinearity 15 Vol. 4, 993-1018 (2002).
nlin/0110006 - Nearest-Neighbor Distribution for Singular Billiards
E. Bogomolny, O. Giraud and C. Schmit, Phys. Rev. E 65, 056214 (2002).
nlin/0112028 - Statistiques spectrales des systèmes diffractifs
O. Giraud, PhD thesis (2002) (in French) - Diffractive orbits in isospectral billiards
O. Giraud, J. Phys. A : Math. Gen. 37 nr 7, 2751-2764 (2004).
nlin/0312045 - Shrunk loop theorem for the topology probabilities of closed Brownian (or Feynman) paths on the twice punctured plane
O. Giraud, A. Thain and J. H. Hannay, J. Phys. A : Math. Gen. 37 nr 8, 2913-2935 (2004).
nlin/0312047 - Intermediate statistics in quantum maps
O. Giraud, J. Marklof and S. O’Keefe, J. Phys. A : Math. Gen. 37 nr 28, L303-L311 (2004).
nlin/0403033 - Periodic orbits and semiclassical form factor in barrier billiards
O. Giraud, Commun. Math. Phys. 260 nr 1, 183 – 201 (2005).
nlin/0503067 - Finite geometries and diffractive orbits in isospectral billiards
O. Giraud, J. Phys. A : Math. Gen. 38, L477-L483 (2005).
nlin/0503069 - Quantum computing of delocalization in smallworld networks
O. Giraud, B. Georgeot and D. Shepelyansky, Phys. Rev. E 72, 036203 (2005).
quant-ph/0503188 - Intermediate quantum maps for quantum computation
O. Giraud and B. Georgeot, Phys. Rev. A 72, 042312 (2005).
quant-ph/0504230 - Distribution of bipartite entanglement for random pure states
O. Giraud, J. Phys. A : Math. Theor. 40, 2793-2801 (2007).
quant-ph/0611285 - Entanglement of localized states
O. Giraud, J. Martin, and B. Georgeot, Phys. Rev. A 76, 042333 (2007).
0704.2765 - Purity distribution for bipartite random pure states
O. Giraud, J. Phys. A : Math. Theor. 40, F1053-F1062 (2007).
0710.2045 - Multifractality and intermediate statistics in quantum maps
J. Martin, O. Giraud, B. Georgeot, Phys. Rev. E 77, 035201(R) (2008).
0711.2029 - Optimal number of controlled-NOT gates to generate a three-qubit state
M. Znidaric, O. Giraud and B. Georgeot, Phys. Rev. A 77, 032320 (2008).
0711.4021 - Quantum computing of semiclassical formulas
B. Georgeot and O. Giraud, Phys. Rev. E 77, 046218 (2008).
0801.4660 - Classicality of spin states
O. Giraud, P. Braun, and D. Braun, Phys. Rev. A 78, 042112 (2008).
0805.2592 - Entropy of entanglement and multifractal exponents for random states
O. Giraud, J. Martin, and B. Georgeot , Phys. Rev. A 79, 032308 (2009).
0807.3716 - Quantum computation of multifractal exponents through the quantum wavelet transform
I. Garcia-Mata, O. Giraud, and B. Georgeot, Phys. Rev. A 79, 052321 (2009).
0901.0108 - Quantum circuit for three-qubit random states
O. Giraud, M. Znidaric, and B. Georgeot, Phys. Rev. A 80, 042309 (2009).
0903.4109 - Delocalization transition for the Google matrix
O. Giraud, B. Georgeot, and D. L. Shepelyansky, Phys. Rev. E 80, 026107 (2009).
0903.5172 - Random matrix ensembles associated with Lax matrices
E. Bogomolny, O. Giraud, and C. Schmit, Phys. Rev. Lett. 103, 054103 (2009).
0904.4898 - Entanglement and localization of wavefunctions
O. Giraud, J. Martin, and B. Georgeot, in Complex Phenomena in Nanoscale Systems, NATO Science for Peace and Security Series B : Physics and Biophysics (Springer Netherlands), 51-63 (2009).
0907.3389 - Quantifying Quantumness and the Quest for Queens of Quantum
O. Giraud, P. Braun, and D. Braun, New J. Phys. 12, 063005 (2010).
1002.2158 - Spectral properties of the Google matrix of the World Wide Web and other directed networks
B. Georgeot, O. Giraud, and D. L. Shepelyansky, Phys. Rev. E 81, 056109 (2010).
1002.3342 - Multiqubit symmetric states with high geometric entanglement
J. Martin, O. Giraud, P. A. Braun, D. Braun, and T. Bastin, Phys. Rev. A 81, 062347 (2010).
1003.0593 - Quantum algorithm for exact Monte Carlo sampling
N. Destainville, B. Georgeot, and O. Giraud, Phys. Rev. Lett. 104, 250502 (2010).
1003.1862 - Multifractal wave functions of simple quantum maps
J. Martin, I. Garcia-Mata, O. Giraud, and B. Georgeot, Phys. Rev. E 82, 046206 (2010).
1007.1404 - Hearing shapes of drums : Mathematical and physical aspects of isospectrality
O. Giraud and K. Thas, Rev. Mod. Phys. 82, 2213 (2010).
1101.1239 - Eigenfunction entropy and spectral compressibility for critical random matrix ensembles
E. Bogomolny and O. Giraud, Phys. Rev. Lett. 106, 044101 (2011).
1011.3686 - Integrable random matrix ensembles
E. Bogomolny, O. Giraud, and C. Schmit, Nonlinearity 24, 3179 (2011).
1104.3777 - The game of go as a complex network
B. Georgeot and O. Giraud, EPL 97, 68002 (2012).
1105.2470 - Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
E. Bogomolny and O. Giraud, Phys. Rev. E 84, 036212 (2011).
1106.5898 - Parametrization of spin-1 classical states
O. Giraud, P. Braun, and D. Braun, Phys. Rev. A 85, 032101 (2012).
1110.0325 - Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime
E. Bogomolny and O. Giraud, Phys. Rev. E 85, 046208 (2012).
1112.2164 - Multifractality of quantum wave packets
I. Garcia-Mata, J. Martin, O. Giraud, and B. Georgeot, Phys. Rev. E 86, 056215 (2012).
1207.1675 - Distribution of the ratio of consecutive level spacings in random matrix ensembles
Y. Y. Atas, E. Bogomolny, O. Giraud, and G. Roux, Phys. Rev. Lett. 110, 084101 (2013).
1212.5611 - Joint probability densities of level spacing ratios in random matrices
Y. Y. Atas, E. Bogomolny, O. Giraud, P. Vivo, and E. Vivo, J. Phys. A : Math. Theor. 46, 355204 (2013).
1305.7156 - A universal set of qubit quantum channels
D. Braun, O. Giraud, I. Nechita, C. Pellegrini, and M. Znidaric, J. Phys. A : Math. Theor. 47, 135302 (2014).
1306.0495 - Calculation of mean spectral density for statistically uniform tree-like random models
E. Bogomolny and O. Giraud, Phys. Rev. E 88, 062811 (2013).
1310.1299 - Two scenarios for quantum multifractality breakdown
R. Dubertrand, I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié, and J. Martin, Phys. Rev. Lett. 112, 234101 (2014).
1402.1658 - Move ordering and communities in complex networks describing the game of go
V. Kandiah, B. Georgeot and O. Giraud, Eur. Phys. J. B 87, 246 (2014).
1405.6077 - High values of disorder-generated multifractals and logarithmically correlated processes
Y. V. Fyodorov and O. Giraud, Chaos, Solitons & Fractals 74, 15 (2015).
1407.4035 - Tensor representation of spin states
O. Giraud, D. Braun, D. Baguette, T. Bastin, and J. Martin, Phys. Rev. Lett. 114, 080401 (2015).
1409.1106 - Multifractality of quantum wave functions in the presence of perturbations
R. Dubertrand, I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié, and J. Martin, Phys. Rev. E 92, 032914 (2015).
1506.05720 - Critical systems and quantum multifractality
O. Giraud, Habilitation thesis (2015) - Anticoherence of spin states with point group symmetries
D. Baguette, F. Damanet, O. Giraud, and J. Martin, Phys. Rev. A 92, 052333 (2015).
1509.08300 - Quantumness of spin-1 states
F. Bohnet-Waldraff, D. Braun, and O. Giraud, Phys. Rev. A 93, 012104 (2016).
1510.07848 - Average diagonal entropy in non-equilibrium isolated quantum systems
I. García-Mata and O. Giraud, Phys. Rev. E 94, 012122 (2016).
1603.01624 - Partial transpose criteria for symmetric states
F. Bohnet-Waldraff, D. Braun, and O. Giraud, Phys. Rev. A 94, 042343 (2016).
1606.07635 - Tensor eigenvalues and entanglement of symmetric states
F. Bohnet-Waldraff, D. Braun, and O. Giraud, Phys. Rev. A 94, 042324 (2016).
1608.03537 - Scaling theory of the Anderson transition in random graphs: ergodicity and universality
Ignacio García-Mata, Olivier Giraud, Bertrand Georgeot, John Martin, Rémy Dubertrand, and Gabriel Lemarié, Phys. Rev. Lett. 118, 166801 (2017).
1609.05857 - Absolutely classical spin states
F. Bohnet-Waldraff, O. Giraud, and D. Braun, Phys. Rev. A 95, 012318 (2017)
1611.06064 - Regularly decomposable tensors and classical spin states
L. Qi, G. Zhang, D. Braun, F. Bohnet-Waldraff, and O. Giraud, Commun. Math. Sci. 15 (6), 1651 (2017)
1612.02638 - Entanglement and the truncated moment problem
F. Bohnet-Waldraff, D. Braun, and O. Giraud, Phys. Rev. A 96, 032312 (2017)
1704.02277 - Genuinely entangled symmetric states with no N-partite correlations
S. Designolle, O. Giraud, and J. Martin, Phys. Rev. A 96, 032322 (2017)
1707.04103 - Distinguishing humans from computers in the game of go: a complex network approach
C. Coquidé, B. Georgeot, and O. Giraud, EPL 119, 48001 (2017)
1707.04044 - Correlations of occupation numbers in the canonical ensemble and application to a Bose-Einstein condensate in a one-dimensional harmonic trap
O. Giraud, A. Grabsch, and C. Texier, Phys. Rev. A 97, 053615 (2018)
1802.02555 - Quantum Hamiltonian computing protocols for molecular electronics Boolean logic gates
O. Faizy Namarvar, O. Giraud, B. Georgeot, and C. Joachim, Quantum Sci.Technol. 4, 035009 (2019)
1812.00395 - Optimal measurement strategies for fast entanglement detection
N. Milazzo, D. Braun, and O. Giraud, Phys. Rev. A 100, 012328 (2019)
1902.04803 - Multifractality of open quantum systems
A. Bilen, I. García-Mata, B. Georgeot, and O. Giraud, Phys. Rev. E 100, 032223 (2019)
1906.05350 - Two localization lengths in the Anderson transition on random graphs
I. García-Mata, J. Martin, R. Dubertrand, O. Giraud, B. Georgeot, and G. Lemarié, Phys. Rev. Research 2, 012020(R) (2020)
1904.08869 - Optimal detection of rotations by coherent and anticoherent states
J. Martin, S. Weigert, and O. Giraud, Quantum 4, 285 (2020)
1909.08355 - Semiclassical evaluation of expectation values
K. M. Mittal, O. Giraud, and D. Ullmo, Phys. Rev. E 102, 042211 (2020)
1911.10226 - Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
M. Arnal, G. Chatelain, M. Martinez, N. Dupont, O. Giraud, D. Ullmo, B. Georgeot, G. Lemarié, J. Billy, and D. Guéry-Odelin, Science advances 6(38), eabc4886 (2020)
2003.10387 - Truncated moment sequences and a solution to the channel separability problem
N. Milazzo, D. Braun, and O. Giraud, Phys. Rev. A 102, 052406 (2020)
2006.15003 - Probing symmetries of quantum many-body systems through gap ratio statistics
O. Giraud, N. Macé, E. Vernier, and F. Alet, Phys. Rev. X 12, 011006 (2022)
2008.11173 - Chaos-assisted long-range hopping for quantum simulation
M. Martinez, O. Giraud, D. Ullmo, J. Billy, D. Guéry-Odelin, B. Georgeot, and G. Lemarié, Phys. Rev. Lett. 126, 174102 (2021)
2011.02557 - Coherent forward scattering peak and multifractality
M. Martinez, G. Lemarié, B. Georgeot, C. Miniatura, and O. Giraud, Phys. Rev. Research 3, L032044 (2021)
2011.03022 - Statistical properties of structured random matrices
E. Bogomolny and O. Giraud, Phys. Rev. E 103, 042213 (2021)
2012.14322 - Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
M. Isoard, N. Milazzo, N. Pavloff, and O. Giraud, Phys. Rev. A 104, 063302 (2021)
2102.06175 - Symmetry violation of quantum multifractality: Gaussian fluctuations versus algebraic localization
A. Bilen, B. Georgeot, O. Giraud, G. Lemarié, and I. García-Mata, Phys. Rev. Research 3, L022023 (2021)
2103.03068 - Network community structure and resilience to localized damage: application to brain microcirculation
F. Goirand, B. Georgeot, O. Giraud, and S. Lorthois, Brain Multiphysics 2, 100028 (2021)
2103.08587 - Harmonic structures of Beethoven quartets: a complex network approach
T. Frottier, B. Georgeot, and O. Giraud, Eur. Phys. J. B 95, 103 (2022)
2201.08796 - Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization
I. García-Mata, J. Martin, O. Giraud, B. Georgeot, R. Dubertrand, and G. Lemarié, Phys. Rev. B 106, 214202 (2022)
2209.04337 - Principles of quantum functional testing
N. Milazzo, O. Giraud, G. Gramegna, and D. Braun, Phys. Rev. A 108, 022602 (2023)
2209.11712 - Coherent forward scattering as a robust probe of multifractality in critical disordered media
M. Martinez, G. Lemarié, B. Georgeot, C. Miniatura, and O. Giraud, SciPost Phys. 14, 057 (2023)
2210.04796 - Quantum parameter estimation with many-body fermionic systems and application to the Hall effect
O. Giraud, M.-O. Goerbig, and D. Braun, SciPost Phys. 16, 085 (2024)
2303.10199 - Computing quantum mean values in the deep chaotic regime
G. Lando, O. Giraud, and D. Ullmo, Phys. Rev. Lett. 132, 260401 (2024)
2308.04655 -
Analytical solution of susceptible-infected-recovered models on homogeneous networks
L. Bremaud, O. Giraud, and D. Ullmo, Phys. Rev. E 110, 044307 (2024)
2312.11321 - Quantum logarithmic multifractality
W. Chen, O. Giraud, J. Gong, and G. Lemarié, Phys. Rev. Res. 6, L032024 (2024)
2312.17481 - Mean-field-game approach to nonpharmaceutical interventions in a social-structure model of epidemics
L. Bremaud, O. Giraud, and D. Ullmo, Phys. Rev. E 110, 064301 (2024)
2404.08758 - Describing the critical behavior of the Anderson transition in infinite dimension by random-matrix ensembles: logarithmic multifractality and critical localization
W. Chen, O. Giraud, J. Gong, and G. Lemarié, Phys. Rev. B 110, 014210 (2024)
2405.10975 - Mean-field game approach to epidemic propagation on networks
L. Bremaud, O. Giraud, and D. Ullmo, 2501.14601 - Coherent backscattering and coherent forward scattering effects in variations of the random
quantum kicked rotor
H. Thomas, J. Hébraud, B. Georgeot, G. Lemarié, C. Miniatura, and O. Giraud, Phys. Rev. A 111, 063302 (2025)
2503.02517 - Multiqubit monogamy relations beyond shadow inequalities
E. Serrano-Ensástiga, O. Giraud, and J. Martin, 2507.12680
- Periodic orbits contribution to the 2-point correlation form factor for pseudo-integrable systems
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“The closer to the truth, the better the lie, and the truth itself, when it can be used, is the best lie.” — Isaac Asimov
