Ion Nechita

Publications

Article dans une revue (78)

Monogamy of Highly Symmetric States Rene Allerstorfer,Matthias Christandl,Dmitry Grinko,Ion Nechita,Maris Ozolset al. Communications in Mathematical Physics, 2026, 407, pp.21. ⟨10.1007/s00220-025-05483-3⟩ Article dans une revue hal-05465857v1
Random covariant quantum channels Ion Nechita,Sang-Jun Park Annales Henri Poincare, 2026, 27 (3), pp.61 P. ⟨10.1007/s00023-025-01558-y⟩ Article dans une revue hal-04530442v1
On random classical marginal problems with applications to quantum information theory Ankit Kumar Jha,Ion Nechita Journal of Physics A: Mathematical and Theoretical, 2025, 58 (8), pp.085302. ⟨10.1088/1751-8121/adb547⟩ Article dans une revue hal-04987993v1
Generalized unistochastic matrices Ion Nechita,Zikun Ouyang,Anna Szczepanek Linear Algebra and its Applications, 2025, 721, pp.339-365. ⟨10.1016/j.laa.2024.05.019⟩ Article dans une revue hal-05129725v1
Entanglement in cyclic sign invariant quantum states Aabhas Gulati,Ion Nechita,Satvik Singh Journal of Mathematical Physics, 2025, 66 (12), pp.122202. ⟨10.1063/5.0285294⟩ Article dans une revue hal-05209674v1
A Max-Flow approach to Random Tensor Networks Khurshed Fitter,Faedi Loulidi,Ion Nechita Entropy, 2025, 27 (7), pp.756. ⟨10.3390/e27070756⟩ Article dans une revue hal-04652545v1
Estimating the entanglement of random multipartite quantum states Khurshed Fitter,Cécilia Lancien,Ion Nechita Quantum, 2025, 9, pp.1870. ⟨10.22331/q-2025-10-01-1870⟩ Article dans une revue hal-03814025v1
On the simulation of quantum multimeters Andreas Bluhm,Leevi Leppäjärvi,Ion Nechita Quantum, 2025, 9, pp.1608. ⟨10.22331/q-2025-01-27-1608⟩ Article dans une revue hal-04786927v1
A physical noise model for quantum measurements Faedi Loulidi,Ion Nechita,Clément Pellegrini Journal of Physics A: Mathematical and Theoretical, 2025, 58 (19), pp.195303. ⟨10.1088/1751-8121/adcf63⟩ Article dans une revue hal-04127867v1
Generating series and matrix models for meandric systems with one shallow side Motohisa Fukuda,Ion Nechita Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2024, 11 (2), pp.299-330. ⟨10.4171/aihpd/183⟩ Article dans une revue hal-04610415v1
Ergodic theory of diagonal orthogonal covariant quantum channels Satvik Singh,Nilanjana Datta,Ion Nechita Lett.Math.Phys., 2024, 114 (5), pp.121. ⟨10.1007/s11005-024-01864-2⟩ Article dans une revue hal-03698194v1
Generating random Gaussian states Leevi Leppäjärvi,Ion Nechita,Ritabrata Sengupta Journal of Mathematical Physics, 2024, 65 (8), pp.082201. ⟨10.1063/5.0202147⟩ Article dans une revue hal-04455638v1
Algebra of Nonlocal Boxes and the Collapse of Communication Complexity Pierre Botteron,Anne Broadbent,Reda Chhaibi,Ion Nechita,Clément Pellegrini Quantum, 2024, 8, pp.1402. ⟨10.22331/q-2024-07-10-1402⟩ Article dans une revue hal-04687878v1
A refinement of Reznick's Positivstellensatz with applications to quantum information theory Alexander Müller-Hermes,Ion Nechita,David Reeb Quantum, 2023, 7, pp.1001. ⟨10.22331/q-2023-05-12-1001⟩ Article dans une revue hal-02988627v1
The Asymmetric Quantum Cloning Region Ion Nechita,Clément Pellegrini,Denis Rochette Letters in Mathematical Physics, 2023, 113 (3), pp.74. ⟨10.1007/s11005-023-01694-8⟩ Article dans une revue hal-03814106v1
Polytope compatibility—From quantum measurements to magic squares Andreas Bluhm,Ion Nechita,Simon Schmidt Journal of Mathematical Physics, 2023, 64 (12), pp.122201. ⟨10.1063/5.0165424⟩ Article dans une revue hal-04082901v1
Diagonal unitary and orthogonal symmetries in quantum theory: II. Evolution operators Satvik Singh,Ion Nechita Journal of Physics A: Mathematical and Theoretical, 2022, 55 (25), pp.255302. ⟨10.1088/1751-8121/ac7017⟩ Article dans une revue hal-03768979v1
The PPT$^2$ Conjecture Holds for All Choi-Type Maps Satvik Singh,Ion Nechita Annales Henri Poincaré, 2022, 23 (9), pp.3311-3329. ⟨10.1007/s00023-022-01166-0⟩ Article dans une revue hal-03657918v1
Measurement Incompatibility versus Bell Nonlocality: An Approach via Tensor Norms Faedi Loulidi,Ion Nechita PRX Quantum, 2022, 3 (4), pp.040325. ⟨10.1103/PRXQuantum.3.040325⟩ Article dans une revue hal-03944751v1
Order preserving maps on quantum measurements Teiko Heinosaari,Maria Anastasia Jivulescu,Ion Nechita Quantum, 2022, 6, pp.853. ⟨10.22331/q-2022-11-10-853⟩ Article dans une revue hal-03945349v1
A Fisher Information-Based Incompatibility Criterion for Quantum Channels Qing-Hua Zhang,Ion Nechita Entropy, 2022, 24 (6), pp.805. ⟨10.3390/e24060805⟩ Article dans une revue hal-03662653v1
A tensor norm approach to quantum compatibility Andreas Bluhm,Ion Nechita Journal of Mathematical Physics, 2022, 63 (6), pp.062201. ⟨10.1063/5.0089770⟩ Article dans une revue hal-03773312v1
Multipartite entanglement detection via projective tensor norms Maria Anastasia Jivulescu,Cécilia Lancien,Ion Nechita Annales Henri Poincaré, 2022, pp.97. ⟨10.1007/s00023-022-01187-9⟩ Article dans une revue hal-03090105v1
Maximal violation of steering inequalities and the matrix cube Andreas Bluhm,Ion Nechita Quantum, 2022, 6, pp.656. ⟨10.22331/q-2022-02-21-656⟩ Article dans une revue hal-03671001v1
Entanglement criteria for the bosonic and fermionic induced ensembles Stephane Dartois,Ion Nechita,Adrian Tanasa Quantum Information Processing, 2022, 21 (11), pp.376. ⟨10.1007/s11128-022-03690-8⟩ Article dans une revue hal-03442708v1
Incompatibility in General Probabilistic Theories, Generalized Spectrahedra, and Tensor Norms Andreas Bluhm,Anna Jenčová,Ion Nechita Commun.Math.Phys., 2022, 393 (3), pp.1125-1198. ⟨10.1007/s00220-022-04379-w⟩ Article dans une revue hal-03677562v1
A geometrical description of the universal $1 \rightarrow 2$ asymmetric quantum cloning region Ion Nechita,Clément Pellegrini,Denis Rochette Quantum Information Processing, 2021, 20 (10), ⟨10.1007/s11128-021-03258-y⟩ Article dans une revue hal-03424137v1
Diagonal unitary and orthogonal symmetries in quantum theory Satvik Singh,Ion Nechita Quantum, 2021, 5, pp.519. ⟨10.22331/q-2021-08-09-519⟩ Article dans une revue hal-03339444v1
A graphical calculus for integration over random diagonal unitary matrices Ion Nechita,Satvik Singh Linear Algebra and its Applications, 2021, 613, pp.46-86. ⟨10.1016/j.laa.2020.12.014⟩ Article dans une revue hal-02988616v1
Generating random quantum channels Ryszard Kukulski,Ion Nechita,Łukasz Pawela,Zbigniew Puchała,Karol Życzkowski Journal of Mathematical Physics, 2021, 62 (6), pp.062201. ⟨10.1063/5.0038838⟩ Article dans une revue hal-03282197v1
Sinkhorn algorithm for quantum permutation groups Ion Nechita,Simon Schmidt,Moritz Weber Experimental Mathematics, 2021, ⟨10.1080/10586458.2021.1926005⟩ Article dans une revue hal-02988624v1
SudoQ -- a quantum variant of the popular game Ion Nechita,Jordi Pillet Quantum Information & Computation, 2021, 21 (9-10), pp.781-799. ⟨10.26421/QIC21.9-10-4⟩ Article dans une revue hal-02988621v1
The compatibility dimension of quantum measurements Faedi Loulidi,Ion Nechita Journal of Mathematical Physics, 2021, 62 (4), pp.042205. ⟨10.1063/5.0028658⟩ Article dans une revue hal-02988614v1
Random positive operator valued measures Ion Nechita,Teiko Heinosaari,Maria Anastasia Jivulescu Journal of Mathematical Physics, 2020, 61 (4), pp.042202. ⟨10.1063/1.5131028⟩ Article dans une revue hal-02988631v1
The joint distribution of the marginals of multipartite random quantum states Stephane Dartois,Luca Lionni,Ion Nechita Random Matrices: Theory and Applications, 2020, 09 (03), pp.2050010. ⟨10.1142/S2010326320500100⟩ Article dans une revue hal-02955388v1
Compatibility of quantum measurements and inclusion constants for the matrix jewel Andreas Bluhm,Ion Nechita SIAM Journal on Applied Algebra and Geometry, 2020, 4 (2), pp.255-296. ⟨10.1137/19M123837X⟩ Article dans une revue hal-03021570v1
Enumerating meandric systems with large number of loops Motohisa Fukuda,Ion Nechita Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2019, 6 (4), pp.607-640. ⟨10.4171/aihpd/80⟩ Article dans une revue hal-04762172v1
RTNI—A symbolic integrator for Haar-random tensor networks Motohisa Fukuda,Robert König,Ion Nechita Journal of Physics A: Mathematical and Theoretical, 2019, 52 (42), pp.425303. ⟨10.1088/1751-8121/ab434b⟩ Article dans une revue hal-02066438v1
Almost all quantum channels are equidistant Ion Nechita,Zbigniew Puchała,Łukasz Pawela,Karol Życzkowski Journal of Mathematical Physics, 2018, 59 (5), ⟨10.1063/1.5019322⟩ Article dans une revue hal-01826074v1
Joint measurability of quantum effects and the matrix diamond Andreas Bluhm,Ion Nechita Journal of Mathematical Physics, 2018, 59 (11), pp.112202. ⟨10.1063/1.5049125⟩ Article dans une revue hal-01955274v1
On the Minimum Output Entropy of Random Orthogonal Quantum Channels Motohisa Fukuda,Ion Nechita IEEE Transactions on Information Theory, 2018, 64 (2), pp.1374 - 1384. ⟨10.1109/TIT.2017.2774833⟩ Article dans une revue hal-01708119v1
Operator Schmidt ranks of bipartite unitary matrices Alexander Müller-Hermes,Ion Nechita Linear Algebra and its Applications, 2018, 557, pp.174 - 187. ⟨10.1016/j.laa.2018.07.018⟩ Article dans une revue hal-01887029v1
On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime Ion Nechita Advances in Mathematical Physics, 2018, 2018, pp.1 - 13. ⟨10.1155/2018/7105074⟩ Article dans une revue hal-01826075v1
Almost Hadamard matrices with complex entries Teodor Banica,Ion Nechita Advances in Operator Theory, 2018, 3 (1), pp.137-177. ⟨10.22034/aot.1702-1114⟩ Article dans une revue hal-01689828v1
On bipartite unitary matrices generating subalgebra-preserving quantum operations Tristan Benoist,Ion Nechita Linear Algebra and its Applications, 2017, 521, pp.70-103. ⟨10.1016/j.laa.2017.01.020⟩ Article dans une revue hal-01381093v1
On symmetric decompositions of positive operators Maria Anastasia Jivulescu,Ion Nechita,Gavruta Pasc Journal of Physics A: Mathematical and Theoretical, 2017, 50 (16), pp.165303. ⟨10.1088/1751-8121/aa6469⟩ Article dans une revue hal-01527399v1
Random and free positive maps with applications to entanglement detection Benoît Collins,Patrick Hayden,Ion Nechita International Mathematics Research Notices, 2017, 3, pp.869-894. ⟨10.1093/imrn/rnw054⟩ Article dans une revue hal-01501704v1
Flat matrix models for quantum permutation groups Teodor Banica,Ion Nechita Advances in Applied Mathematics, 2017, pp.24-46. ⟨10.1016/j.aam.2016.09.001⟩ Article dans une revue hal-02980384v1
On the asymptotic distribution of block-modified random matrices Arizmendi Octavio,Ion Nechita,Vargas Carlos Journal of Mathematical Physics, 2016, 57 (1), pp.015216 ⟨10.1063/1.4936925⟩ Article dans une revue hal-01280488v1
On some classes of bipartite unitary operators Julien Deschamps,Ion Nechita,Clément Pellegrini Journal of Physics A: Mathematical and Theoretical, 2016, 49 (33), pp.335301 - 335301. ⟨10.1088/1751-8113/49/33/335301⟩ Article dans une revue hal-01401838v1
Random matrix techniques in quantum information theory Benoît Collins,Ion Nechita Journal of Mathematical Physics, 2016, 57, pp.015215 ⟨10.1063/1.4936880⟩ Article dans une revue hal-01280478v1
Almost one bit violation for the additivity of the minimum output entropy Serban Belinschi,Benoit Collins,Ion Nechita Communications in Mathematical Physics, 2016, 341 (3), pp.885-909. ⟨10.1007/s00220-015-2561-z⟩ Article dans une revue hal-00854357v1
Quantum channels with polytopic images and image additivity Motohisa Fukuda,Ion Nechita,Michael M. Wolf IEEE Transactions on Information Theory, 2015, 61 (4), pp.1851-1859. ⟨10.1109/TIT.2015.2401397⟩ Article dans une revue hal-01155627v1
Thresholds for reduction-related entanglement criteria in quantum information theory Maria Anastasia Jivulescu,Nicolae Lupa,Ion Nechita Quantum Information & Computation, 2015, 15 (13-14), pp.1165-1184 Article dans une revue hal-01380753v1
On the convergence of output sets of quantum channels Benoit Collins,Motohisa Fukuda,Ion Nechita Journal of Operator Theory, 2015, 73 (2), pp.333-360. ⟨10.7900/jot.2013dec04.2008⟩ Article dans une revue hal-00979268v1
Positive reduction from spectra Maria Anastasia Jivulescu,Nicolae Lupa,Ion Nechita,David Reeb Linear Algebra and its Applications, 2015, 469, pp.276-304. ⟨10.1016/j.laa.2014.11.031⟩ Article dans une revue hal-01155628v1
Block-modified Wishart matrices and free Poisson laws Teodor Banica,Ion Nechita Houston Journal of Mathematics, 2015, 41 (1), pp.113-134 Article dans une revue hal-00662546v1
A universal set of qubit quantum channels Daniel Braun,Olivier Giraud,Ion Nechita,Clément Pellegrini,Marko Znidaric Journal of Physics A: Mathematical and Theoretical, 2014, 47 (13), pp.135302. ⟨10.1088/1751-8113/47/13/135302⟩ Article dans une revue hal-00854358v1
On the reduction criterion for random quantum states Maria Anastasia Jivulescu,Nicolae Lupa,Ion Nechita Journal of Mathematical Physics, 2014, 55 (11), pp.112203. ⟨10.1063/1.4901548⟩ Article dans une revue hal-00979271v1
Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels Motohisa Fukuda,Ion Nechita Communications in Mathematical Physics, 2014, 328 (3), pp.995-1021. ⟨10.1007/s00220-014-2038-5⟩ Article dans une revue hal-00854354v1
Submatrices of Hadamard matrices: complementation results Teodor Banica,Ion Nechita,Jean-Marc Schlenker Electronic Journal of Linear Algebra, 2014, 27, pp.197-212. ⟨10.13001/1081-3810.1613⟩ Article dans une revue hal-00979264v1
Asymptotic eigenvalue distributions of block-transposed Wishart matrices Teodor Banica,Ion Nechita Journal of Theoretical Probability, 2013, 26 (3), pp.855-869. ⟨10.1007/s10959-012-0409-4⟩ Article dans une revue hal-00597002v1
Random pure quantum states via unitary Brownian motion Ion Nechita,Clément Pellegrini Electronic Communications in Probability, 2013, 18, pp.1-13. ⟨10.1214/ECP.v18-2426⟩ Article dans une revue hal-00686060v1
Area law for random graph states Benoit Collins,Ion Nechita,Karol Zyczkowski Journal of Physics A: Mathematical and Theoretical, 2013, 46 (30), pp.305302. ⟨10.1088/1751-8113/46/30/305302⟩ Article dans une revue hal-00854356v1
Low entropy output states for products of random unitary channels Benoit Collins,Motohisa Fukuda,Ion Nechita Random Matrices: Theory and Applications, 2013, 02 (01), pp.1250018. ⟨10.1142/S2010326312500189⟩ Article dans une revue hal-00749390v1
Almost Hadamard matrices: the case of arbitrary exponents Teodor Banica,Ion Nechita Discrete Applied Mathematics, 2013, 161 (16-17), pp.2367-2379. ⟨10.1016/j.dam.2013.05.012⟩ Article dans une revue hal-00854352v1
Almost Hadamard matrices: general theory and examples Teodor Banica,Ion Nechita,Karol Zyczkowski Open Systems and Information Dynamics, 2012, 19 (4), 1250024 [26 p.]. ⟨10.1142/S1230161212500242⟩ Article dans une revue hal-00686061v1
Towards a state minimizing the output entropy of a tensor product of random quantum channels Benoit Collins,Motohisa Fukuda,Ion Nechita Journal of Mathematical Physics, 2012, 53 (3), pp.032203. ⟨10.1063/1.3695328⟩ Article dans une revue hal-00662542v1
Realigning random states Guillaume Aubrun,Ion Nechita Journal of Mathematical Physics, 2012, 53, pp.102210. ⟨10.1063/1.4759115⟩ Article dans une revue hal-00686062v1
The absolute positive partial transpose property for random induced states Benoit Collins,Ion Nechita,Deping Ye Random Matrices: Theory and Applications, 2012, 01 (03), pp.1250002. ⟨10.1142/S2010326312500025⟩ Article dans une revue hal-00619090v1
Generating random density matrices Karol Zyczkowski,Karol A. Penson,Ion Nechita,Benoit Collins Journal of Mathematical Physics, 2011, 52 (6), pp.062201. ⟨10.1063/1.3595693⟩ Article dans une revue hal-00559120v1
The multiplicative property characterizes ℓp and Lp norms Guillaume Aubrun,Ion Nechita Confluentes Mathematici, 2011, 03 (4), pp.637. ⟨10.1142/S1793744211000485⟩ Article dans une revue hal-00574787v1
Random quantum channels {I}: graphical calculus and the {B}ell state phenomenon Benoît Collins,Ion Nechita Communications in Mathematical Physics, 2010, 297 (2), pp.345-370 Article dans une revue hal-00964516v1
Random quantum channels I: graphical calculus and the Bell state phenomenon Benoît Collins,Ion Nechita Communications in Mathematical Physics, 2010, 297 (2), pp.345-370. ⟨10.1007/s00220-010-1012-0⟩ Article dans une revue hal-00384127v2
Quantum Trajectories in Random Environment: the Statistical Model for a Heat Bath Ion Nechita,Clément Pellegrini Confluentes Mathematici, 2009, 1 (2), pp.249-289. ⟨10.1142/S1793744209000109⟩ Article dans une revue hal-00410291v1
Stochastic domination for iterated convolutions and catalytic majorization Guillaume Aubrun,Ion Nechita Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2009, 45 (3), pp.611-625 Article dans une revue hal-00159197v2
Catalytic majorization and $\ell_p$ norms Guillaume Aubrun,Ion Nechita Communications in Mathematical Physics, 2008, 278, pp.133-144 Article dans une revue hal-00131097v2
Asymptotics of random density matrices Ion Nechita Annales Henri Poincaré, 2007, 8 (8), pp.1521-1538. ⟨10.1007/s00023-007-0345-5⟩ Article dans une revue hal-00131136v3

Chapitre d'ouvrage (1)

Discrete approximation of the free Fock space Stéphane Attal,Ion Nechita Catherine Donati-Martin ; Antoine Lejay ; Alain Rouault. Séminaire de Probabilités XLIII, 43, Springer; Springer-Verlag, pp.379-394, 2011, Lecture Notes in Mathematics, 978-3-642-15216-0. ⟨10.1007/978-3-642-15217-7_16⟩ Chapitre d'ouvrage hal-00863534v1

Pré-publication, Document de travail (13)

Random measurements are almost maximally incompatible Andreas Bluhm,Cécilia Lancien,Ion Nechita 2025 Pré-publication, Document de travail hal-05349989v1
Factorization of multimeters: a unified view on nonclassical quantum phenomena Tim Achenbach,Andreas Bluhm,Leevi Leppäjärvi,Ion Nechita,Martin Plávala 2025 Pré-publication, Document de travail hal-05349991v1
Inclusion constants for free spectrahedra with applications to quantum incompatibility Andreas Bluhm,Eric Evert,Igor Klep,Victor Magron,Ion Nechita 2025 Pré-publication, Document de travail hal-05429010v1
The $\mathfrak S_k$-circular limit of random tensor flattenings Stéphane Dartois,Camille Male,Ion Nechita 2023 Pré-publication, Document de travail hal-04179139v1
On the spectral gap of random quantum channels Carlos E. González-Guillén,Marius Junge,Ion Nechita 2018 Pré-publication, Document de travail hal-02988628v1
de Finetti reductions for partially exchangeable probability distributions Ivan Bardet,Cécilia Lancien,Ion Nechita 2018 Pré-publication, Document de travail hal-02988630v1
Analytic aspects of the circulant Hadamard conjecture Teodor Banica,Ion Nechita,Jean-Marc Schlenker 2013 Pré-publication, Document de travail hal-00854355v1
Small circulant complex Hadamard matrices of Butson type Teodor Banica,Gaurush Hiranandani,Ion Nechita,Jean-Marc Schlenker 2013 Pré-publication, Document de travail hal-00979267v1
Random quantum channels II: Entanglement of random subspaces, Renyi entropy estimates and additivity problems Benoît Collins,Ion Nechita 2009 Pré-publication, Document de travail hal-00393916v3
A permutation model for free random variables and its classical analogue Florent Benaych-Georges,Ion Nechita 2009 Pré-publication, Document de travail hal-00220460v3
Gaussianization and eigenvalue statistics for Random quantum channels (III) Benoît Collins,Ion Nechita 2009 Pré-publication, Document de travail hal-00424058v1
Random repeated quantum interactions and random invariant states Ion Nechita,Clément Pellegrini 2009 Pré-publication, Document de travail hal-00361509v1
Discrete approximation of the free Fock space Stéphane Attal,Ion Nechita 2008 Pré-publication, Document de travail hal-00333163v1

Thèse (1)

États aléatoires, théorie quantique de l'information et probabilités libres Ion Nechita Mathématiques [math]. Université Claude Bernard - Lyon I, 2009. Français. ⟨NNT : ⟩ Thèse tel-00371592v1