Nombre de documents

42


Article dans une revue33 documents

  • 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〉
  • 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〉
  • Serban T. 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〉
  • 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〉
  • 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〉
  • Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita. Thresholds for reduction-related entanglement criteria in quantum information theory. Quantum Information and Computation, 2015, 15 (13-14), pp.1165-1184. 〈hal-01380753〉
  • Teodor Banica, Ion Nechita. Block-modified Wishart matrices and free Poisson laws. Houston Journal of Mathematics, 2015, 41 (1), pp.113-134. 〈hal-00662546〉
  • 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〉
  • 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〉
  • 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〉
  • Daniel Braun, Olivier Giraud, Ion Nechita, Clement 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〉
  • 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〉
  • 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〉
  • 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〉
  • 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〉
  • 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〉
  • Teodor Banica, Ion Nechita. Asymptotic eigenvalue distributions of block-transposed Wishart matrices. Journal of Theoretical Probability, Sprnger, 2013, 26 (3), pp.855-869. 〈10.1007/s10959-012-0409-4〉. 〈hal-00597002〉
  • 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, 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〉
  • 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〉
  • 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〉
  • 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〉
  • 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, Institute Henri Poincaré, 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〉

Chapitre d'ouvrage1 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〉

Pré-publication, Document de travail7 documents

  • Teodor Banica, Ion Nechita, Jean-Marc Schlenker. Analytic aspects of the circulant Hadamard conjecture. 26 pages. 2013. 〈hal-00854355〉
  • Teodor Banica, Gaurush Hiranandani, Ion Nechita, Jean-Marc Schlenker. Small circulant complex Hadamard matrices of Butson type. 2013. 〈hal-00979267〉
  • Florent Benaych-Georges, Ion Nechita. A permutation model for free random variables and its classical analogue. 13 pages, to appear in Pacific Journal of Mathematics. 2009. 〈hal-00220460v3〉
  • Ion Nechita, Clément Pellegrini. Random repeated quantum interactions and random invariant states. 2009. 〈hal-00361509〉
  • Benoît Collins, Ion Nechita. Gaussianization and eigenvalue statistics for Random quantum channels (III). 34 pages, 14 figures. 2009. 〈hal-00424058〉
  • Benoît Collins, Ion Nechita. Random quantum channels II: Entanglement of random subspaces, Renyi entropy estimates and additivity problems. 3 figures added, minor typos corrected. 2009. 〈hal-00393916v3〉
  • Stéphane Attal, Ion Nechita. Discrete approximation of the free Fock space. 2008. 〈hal-00333163〉

Thèse1 document

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