Publications | Olivier Giraud

- - - 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
    - The 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
    - 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
    - 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
    - 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
    - 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
    - Multifractality of open quantum systems
      A. Bilen, I. García-Mata, B. Georgeot, and O. Giraud, Phys. Rev. E 100, 032223 (2019)
      1906.05350
    - 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,
      2303.10199
    - Computing quantum mean values in the deep chaotic regime
      G. Lando, O. Giraud, and D. Ullmo,
      2308.04655