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Number of documents

62


Journal articles46 documents

  • Ion Nechita, Satvik Singh. A graphical calculus for integration over random diagonal unitary matrices. Linear Algebra and its Applications, Elsevier, 2021, 613, pp.46-86. ⟨10.1016/j.laa.2020.12.014⟩. ⟨hal-02988616⟩
  • Andreas Bluhm, Ion Nechita. Compatibility of quantum measurements and inclusion constants for the matrix jewel. SIAM Journal on Applied Algebra and Geometry, Society for Industrial and Applied Mathematics 2020, 4 (2), pp.255-296. ⟨10.1137/19M123837X⟩. ⟨hal-03021570⟩
  • Stephane Dartois, Luca Lionni, Ion Nechita. The joint distribution of the marginals of multipartite random quantum states. Random Matrices: Theory and Applications, World Scientific, 2020, 09 (03), pp.2050010. ⟨10.1142/S2010326320500100⟩. ⟨hal-02955388⟩
  • Ion Nechita, Teiko Heinosaari, Maria Anastasia Jivulescu. Random positive operator valued measures. Journal of Mathematical Physics, American Institute of Physics (AIP), 2020, 61 (4), pp.042202. ⟨10.1063/1.5131028⟩. ⟨hal-02988631⟩
  • Motohisa Fukuda, Robert König, Ion Nechita. RTNI—A symbolic integrator for Haar-random tensor networks. J.Phys.A, 2019, 52 (42), pp.425303. ⟨10.1088/1751-8121/ab434b⟩. ⟨hal-02066438⟩
  • Motohisa Fukuda, Ion Nechita. On the Minimum Output Entropy of Random Orthogonal Quantum Channels. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2018, 64 (2), pp.1374 - 1384. ⟨10.1109/TIT.2017.2774833⟩. ⟨hal-01708119⟩
  • Teodor Banica, Ion Nechita. Almost Hadamard matrices with complex entries. Advances in Operator Theory, Tusi Mathematical Research Group, 2018, 3 (1), pp.137-177. ⟨10.22034/aot.1702-1114⟩. ⟨hal-01689828⟩
  • Ion Nechita. On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime. Advances in Mathematical Physics, Hindawi Publishing Corporation, 2018, 2018, pp.1 - 13. ⟨10.1155/2018/7105074⟩. ⟨hal-01826075⟩
  • Andreas Bluhm, Ion Nechita. Joint measurability of quantum effects and the matrix diamond. Journal of Mathematical Physics, American Institute of Physics (AIP), 2018, 59 (11), pp.112202. ⟨10.1063/1.5049125⟩. ⟨hal-01955274⟩
  • Alexander Müller-Hermes, Ion Nechita. Operator Schmidt ranks of bipartite unitary matrices. Linear Algebra and its Applications, Elsevier, 2018, 557, pp.174 - 187. ⟨10.1016/j.laa.2018.07.018⟩. ⟨hal-01887029⟩
  • Ion Nechita, Zbigniew Puchała, Łukasz Pawela, Karol Życzkowski. Almost all quantum channels are equidistant. Journal of Mathematical Physics, American Institute of Physics (AIP), 2018, 59 (5), ⟨10.1063/1.5019322⟩. ⟨hal-01826074⟩
  • Teodor Banica, Ion Nechita. Flat matrix models for quantum permutation groups. Advances in Applied Mathematics, Elsevier, 2017, pp.24-46. ⟨10.1016/j.aam.2016.09.001⟩. ⟨hal-02980384⟩
  • Tristan Benoist, Ion Nechita. On bipartite unitary matrices generating subalgebra-preserving quantum operations. Linear Algebra and its Applications, Elsevier, 2017, 521, pp. 70-103. ⟨10.1016/j.laa.2017.01.020⟩. ⟨hal-01381093⟩
  • Benoît Collins, Patrick Hayden, Ion Nechita. Random and free positive maps with applications to entanglement detection. International Mathematics Research Notices, Oxford University Press (OUP), 2017, pp.869-894. ⟨10.1093/imrn/rnw054⟩. ⟨hal-01501704⟩
  • Maria Jivulescu, Ion Nechita, Gavruta Pasc. On symmetric decompositions of positive operators. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2017, 50 (16), pp.165303. ⟨10.1088/1751-8121/aa6469⟩. ⟨hal-01527399⟩
  • Benoît Collins, Ion Nechita. Random matrix techniques in quantum information theory. Journal of Mathematical Physics, American Institute of Physics (AIP), 2016, 57, pp.015215 ⟨10.1063/1.4936880⟩. ⟨hal-01280478⟩
  • Serban Belinschi, Benoit Collins, Ion Nechita. Almost one bit violation for the additivity of the minimum output entropy. Communications in Mathematical Physics, Springer Verlag, 2016, 341 (3), pp.885-909. ⟨10.1007/s00220-015-2561-z⟩. ⟨hal-00854357⟩
  • Julien Deschamps, Ion Nechita, Clément Pellegrini. On some classes of bipartite unitary operators. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49 (33), pp.335301 - 335301. ⟨10.1088/1751-8113/49/33/335301⟩. ⟨hal-01401838⟩
  • Arizmendi Octavio, Ion Nechita, Vargas Carlos. On the asymptotic distribution of block-modified random matrices. Journal of Mathematical Physics, American Institute of Physics (AIP), 2016, 57 (1), pp.015216 ⟨10.1063/1.4936925⟩. ⟨hal-01280488⟩
  • Teodor Banica, Ion Nechita. Block-modified Wishart matrices and free Poisson laws. Houston Journal of Mathematics, 2015, 1, pp.113-134. ⟨hal-02980013⟩
  • Benoit Collins, Motohisa Fukuda, Ion Nechita. On the convergence of output sets of quantum channels. Journal of Operator Theory, 2015, 73 (2), pp.333-360. ⟨10.7900/jot.2013dec04.2008⟩. ⟨hal-00979268⟩
  • Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita. Thresholds for reduction-related entanglement criteria in quantum information theory. Quantum Information & Computation, Rinton Press, 2015, 15 (13-14), pp.1165-1184. ⟨hal-01380753⟩
  • Motohisa Fukuda, Ion Nechita, Michael M. Wolf. Quantum channels with polytopic images and image additivity. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2015, 61 (4), pp.1851-1859. ⟨10.1109/TIT.2015.2401397⟩. ⟨hal-01155627⟩
  • Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita, David Reeb. Positive reduction from spectra. Linear Algebra and its Applications, Elsevier, 2015, 469, pp.276-304. ⟨10.1016/j.laa.2014.11.031⟩. ⟨hal-01155628⟩
  • Teodor Banica, Ion Nechita. Block-modified Wishart matrices and free Poisson laws. Houston Journal of Mathematics, 2015, 41 (1), pp.113-134. ⟨hal-00662546⟩
  • Teodor Banica, Ion Nechita, Jean-Marc Schlenker. Submatrices of Hadamard matrices: complementation results. Electronic Journal of Linear Algebra, International Linear Algebra Society, 2014, 27, pp.197-212. ⟨hal-00979264⟩
  • Daniel Braun, Olivier Giraud, Ion Nechita, Clément Pellegrini, Marko Znidaric. A universal set of qubit quantum channels. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2014, 47 (13), pp.135302. ⟨10.1088/1751-8113/47/13/135302⟩. ⟨hal-00854358⟩
  • Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita. On the reduction criterion for random quantum states. Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (11), pp.112203. ⟨10.1063/1.4901548⟩. ⟨hal-00979271⟩
  • Motohisa Fukuda, Ion Nechita. Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels. Communications in Mathematical Physics, Springer Verlag, 2014, 328 (3), pp.995-1021. ⟨10.1007/s00220-014-2038-5⟩. ⟨hal-00854354⟩
  • Teodor Banica, Ion Nechita. Asymptotic eigenvalue distributions of block-transposed Wishart matrices. Journal of Theoretical Probability, Springer, 2013, 26 (3), pp.855-869. ⟨10.1007/s10959-012-0409-4⟩. ⟨hal-00597002⟩
  • Ion Nechita, Clément Pellegrini. Random pure quantum states via unitary Brownian motion. Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2013, 18, pp.1-13. ⟨10.1214/ECP.v18-2426⟩. ⟨hal-00686060⟩
  • Teodor Banica, Ion Nechita. Almost Hadamard matrices: the case of arbitrary exponents. Discrete Applied Mathematics, Elsevier, 2013, 161 (16-17), pp.2367-2379. ⟨10.1016/j.dam.2013.05.012⟩. ⟨hal-00854352⟩
  • Benoit Collins, Ion Nechita, Karol Zyczkowski. Area law for random graph states. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2013, 46 (30), pp.305302. ⟨10.1088/1751-8113/46/30/305302⟩. ⟨hal-00854356⟩
  • Benoit Collins, Motohisa Fukuda, Ion Nechita. Low entropy output states for products of random unitary channels. Random Matrices: Theory and Applications, 2013, 02 (01), pp.1250018. ⟨10.1142/S2010326312500189⟩. ⟨hal-00749390⟩
  • Benoit Collins, Ion Nechita, Deping Ye. The absolute positive partial transpose property for random induced states. Random Matrices: Theory and Applications, 2012, 01 (03), pp.1250002. ⟨10.1142/S2010326312500025⟩. ⟨hal-00619090⟩
  • Benoit Collins, Motohisa Fukuda, Ion Nechita. Towards a state minimizing the output entropy of a tensor product of random quantum channels. Journal of Mathematical Physics, American Institute of Physics (AIP), 2012, 53 (3), pp.032203. ⟨10.1063/1.3695328⟩. ⟨hal-00662542⟩
  • Guillaume Aubrun, Ion Nechita. Realigning random states. Journal of Mathematical Physics, American Institute of Physics (AIP), 2012, 53, pp.102210. ⟨10.1063/1.4759115⟩. ⟨hal-00686062⟩
  • Teodor Banica, Ion Nechita, Karol Zyczkowski. Almost Hadamard matrices: general theory and examples. Open Systems and Information Dynamics, World Scientific Publishing, 2012, 19 (4), 1250024 [26 p.]. ⟨10.1142/S1230161212500242⟩. ⟨hal-00686061⟩
  • Guillaume Aubrun, Ion Nechita. The multiplicative property characterizes ℓp and Lp norms. Confluentes Mathematici, Institut Camille Jordan et Unité de Mathématiques Pures et Appliquées, 2011, 03 (4), pp.637. ⟨10.1142/S1793744211000485⟩. ⟨hal-00574787⟩
  • Karol Zyczkowski, Karol A. Penson, Ion Nechita, Benoit Collins. Generating random density matrices. Journal of Mathematical Physics, American Institute of Physics (AIP), 2011, 52 (6), pp.062201. ⟨10.1063/1.3595693⟩. ⟨hal-00559120⟩
  • Benoît Collins, Ion Nechita. Random quantum channels I: graphical calculus and the Bell state phenomenon. Communications in Mathematical Physics, Springer Verlag, 2010, 297 (2), pp.345-370. ⟨10.1007/s00220-010-1012-0⟩. ⟨hal-00384127v2⟩
  • Benoît Collins, Ion Nechita. Random quantum channels {I}: graphical calculus and the {B}ell state phenomenon. Communications in Mathematical Physics, Springer Verlag, 2010, 297 (2), pp.345-370. ⟨hal-00964516⟩
  • Guillaume Aubrun, Ion Nechita. Stochastic domination for iterated convolutions and catalytic majorization. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2009, 45 (3), pp.611-625. ⟨hal-00159197v2⟩
  • Ion Nechita, Clément Pellegrini. Quantum Trajectories in Random Environment: the Statistical Model for a Heat Bath. Confluentes Mathematici, Institut Camille Jordan et Unité de Mathématiques Pures et Appliquées, 2009, 1 (2), pp.249-289. ⟨10.1142/S1793744209000109⟩. ⟨hal-00410291⟩
  • Guillaume Aubrun, Ion Nechita. Catalytic majorization and $\ell_p$ norms. Communications in Mathematical Physics, Springer Verlag, 2008, 278, pp.133-144. ⟨hal-00131097v2⟩
  • Ion Nechita. Asymptotics of random density matrices. Annales Henri Poincaré, Springer Verlag, 2007, 8 (8), pp.1521-1538. ⟨10.1007/s00023-007-0345-5⟩. ⟨hal-00131136v3⟩

Book sections1 document

  • Stéphane Attal, Ion Nechita. Discrete approximation of the free Fock space. Catherine Donati-Martin ; Antoine Lejay ; Alain Rouault. Séminaire de Probabilités XLIII, 43, Springer, pp.379-394, 2011, Lecture Notes in Mathematics, 978-3-642-15216-0. ⟨10.1007/978-3-642-15217-7_16⟩. ⟨hal-00863534⟩

Preprints, Working Papers, ...14 documents

  • Faedi Loulidi, Ion Nechita. The compatibility dimension of quantum measurements. 2020. ⟨hal-02988614⟩
  • Ion Nechita, Simon Schmidt, Moritz Weber. Sinkhorn algorithm for quantum permutation groups. 2020. ⟨hal-02988624⟩
  • Ion Nechita, Jordi Pillet. SudoQ -- a quantum variant of the popular game. 2020. ⟨hal-02988621⟩
  • Maria Anastasia Jivulescu, Cécilia Lancien, Ion Nechita. Multipartite entanglement detection via projective tensor norms. 2020. ⟨hal-03090105⟩
  • Alexander Müller-Hermes, Ion Nechita, David Reeb. A refinement of Reznick's Positivstellensatz with applications to quantum information theory. 2019. ⟨hal-02988627⟩
  • Ivan Bardet, Cécilia Lancien, Ion Nechita. de Finetti reductions for partially exchangeable probability distributions. 2018. ⟨hal-02988630⟩
  • Carlos E. González-Guillén, Marius Junge, Ion Nechita. On the spectral gap of random quantum channels. 2018. ⟨hal-02988628⟩
  • Teodor Banica, Gaurush Hiranandani, Ion Nechita, Jean-Marc Schlenker. Small circulant complex Hadamard matrices of Butson type. 2013. ⟨hal-00979267⟩
  • Teodor Banica, Ion Nechita, Jean-Marc Schlenker. Analytic aspects of the circulant Hadamard conjecture. 2013. ⟨hal-00854355⟩
  • Benoît Collins, Ion Nechita. Gaussianization and eigenvalue statistics for Random quantum channels (III). 2009. ⟨hal-00424058⟩
  • Florent Benaych-Georges, Ion Nechita. A permutation model for free random variables and its classical analogue. 2009. ⟨hal-00220460v3⟩
  • Benoît Collins, Ion Nechita. Random quantum channels II: Entanglement of random subspaces, Renyi entropy estimates and additivity problems. 2009. ⟨hal-00393916v3⟩
  • Ion Nechita, Clément Pellegrini. Random repeated quantum interactions and random invariant states. 2009. ⟨hal-00361509⟩
  • Stéphane Attal, Ion Nechita. Discrete approximation of the free Fock space. 2008. ⟨hal-00333163⟩

Theses1 document

  • Ion Nechita. États aléatoires, théorie quantique de l'information et probabilités libres. Mathématiques [math]. Université Claude Bernard - Lyon I, 2009. Français. ⟨tel-00371592⟩