Ion Nechita

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Publications

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On the simulation of quantum multimeters

Andreas Bluhm , Leevi Leppäjärvi , Ion Nechita
Quantum, 2025, 9, pp.1608. ⟨10.22331/q-2025-01-27-1608⟩
Journal articles hal-04786927 v1

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⟩
Journal articles hal-04987993 v1
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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⟩
Journal articles hal-04687878 v1

Generating random Gaussian states

Leevi Leppäjärvi , Ion Nechita , Ritabrata Sengupta
J.Math.Phys., 2024, 65 (8), pp.082201. ⟨10.1063/5.0202147⟩
Journal articles hal-04455638 v1
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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⟩
Journal articles hal-04610415 v1

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⟩
Journal articles hal-03698194 v1
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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⟩
Journal articles hal-04082901 v1

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⟩
Journal articles hal-02988627 v1
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The Asymmetric Quantum Cloning Region

Ion Nechita , Clément Pellegrini , Denis Rochette
Lett.Math.Phys., 2023, 113 (3), pp.74. ⟨10.1007/s11005-023-01694-8⟩
Journal articles hal-03814106 v1

A tensor norm approach to quantum compatibility

Andreas Bluhm , Ion Nechita
Journal of Mathematical Physics, 2022, 63 (6), pp.062201. ⟨10.1063/5.0089770⟩
Journal articles hal-03773312 v1

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⟩
Journal articles hal-03945349 v1
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A Fisher Information-Based Incompatibility Criterion for Quantum Channels

Qing-Hua Zhang , Ion Nechita
Entropy, 2022, 24 (6), pp.805. ⟨10.3390/e24060805⟩
Journal articles hal-03662653 v1

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⟩
Journal articles hal-03944751 v1

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⟩
Journal articles hal-03442708 v1

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⟩
Journal articles hal-03090105 v1

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⟩
Journal articles hal-03671001 v1

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⟩
Journal articles hal-03677562 v1

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⟩
Journal articles hal-03768979 v1

The PPT$^2$ Conjecture Holds for All Choi-Type Maps

Satvik Singh , Ion Nechita
Annales Henri Poincare, 2022, 23 (9), pp.3311-3329. ⟨10.1007/s00023-022-01166-0⟩
Journal articles hal-03657918 v1

Sinkhorn algorithm for quantum permutation groups

Ion Nechita , Simon Schmidt , Moritz Weber
Experimental Mathematics, 2021, ⟨10.1080/10586458.2021.1926005⟩
Journal articles hal-02988624 v1

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⟩
Journal articles hal-03282197 v1

Diagonal unitary and orthogonal symmetries in quantum theory

Satvik Singh , Ion Nechita
Quantum, 2021, 5, pp.519. ⟨10.22331/q-2021-08-09-519⟩
Journal articles hal-03339444 v1

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⟩
Journal articles hal-02988616 v1

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⟩
Journal articles hal-03424137 v1

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⟩
Journal articles hal-02988621 v1

The compatibility dimension of quantum measurements

Faedi Loulidi , Ion Nechita
Journal of Mathematical Physics, 2021, 62 (4), pp.042205. ⟨10.1063/5.0028658⟩
Journal articles hal-02988614 v1
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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⟩
Journal articles hal-02955388 v1

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⟩
Journal articles hal-03021570 v1

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⟩
Journal articles hal-02988631 v1

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⟩
Journal articles hal-04762172 v1

RTNI—A symbolic integrator for Haar-random tensor networks

Motohisa Fukuda , Robert König , Ion Nechita
J.Phys.A, 2019, 52 (42), pp.425303. ⟨10.1088/1751-8121/ab434b⟩
Journal articles hal-02066438 v1

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⟩
Journal articles hal-01708119 v1

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⟩
Journal articles hal-01887029 v1

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⟩
Journal articles hal-01826074 v1
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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⟩
Journal articles hal-01955274 v1
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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⟩
Journal articles hal-01826075 v1

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⟩
Journal articles hal-01689828 v1

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⟩
Journal articles hal-01501704 v1
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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⟩
Journal articles hal-01527399 v1

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⟩
Journal articles hal-02980384 v1
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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⟩
Journal articles hal-01381093 v1

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⟩
Journal articles hal-01280488 v1

Random matrix techniques in quantum information theory

Benoît Collins , Ion Nechita
Journal of Mathematical Physics, 2016, 57, pp.015215 ⟨10.1063/1.4936880⟩
Journal articles hal-01280478 v1

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⟩
Journal articles hal-01401838 v1

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⟩
Journal articles hal-00854357 v1

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⟩
Journal articles hal-00979268 v1

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
Journal articles hal-01380753 v1

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⟩
Journal articles hal-01155628 v1

Block-modified Wishart matrices and free Poisson laws

Teodor Banica , Ion Nechita
Houston Journal of Mathematics, 2015, 41 (1), pp.113-134
Journal articles hal-00662546 v1

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⟩
Journal articles hal-01155627 v1

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⟩
Journal articles hal-00854354 v1

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⟩
Journal articles hal-00979271 v1
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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⟩
Journal articles hal-00854358 v1

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⟩
Journal articles hal-00979264 v1

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⟩
Journal articles hal-00597002 v1

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⟩
Journal articles hal-00686060 v1

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⟩
Journal articles hal-00854356 v1

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⟩
Journal articles hal-00749390 v1

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⟩
Journal articles hal-00854352 v1

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⟩
Journal articles hal-00662542 v1

Realigning random states

Guillaume Aubrun , Ion Nechita
Journal of Mathematical Physics, 2012, 53, pp.102210. ⟨10.1063/1.4759115⟩
Journal articles hal-00686062 v1

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⟩
Journal articles hal-00619090 v1

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⟩
Journal articles hal-00686061 v1

The multiplicative property characterizes ℓp and Lp norms

Guillaume Aubrun , Ion Nechita
Confluentes Mathematici, 2011, 03 (4), pp.637. ⟨10.1142/S1793744211000485⟩
Journal articles hal-00574787 v1

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⟩
Journal articles hal-00559120 v1
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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⟩
Journal articles hal-00384127 v2

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
Journal articles hal-00964516 v1
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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⟩
Journal articles hal-00410291 v1
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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
Journal articles hal-00159197 v2
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Catalytic majorization and $\ell_p$ norms

Guillaume Aubrun , Ion Nechita
Communications in Mathematical Physics, 2008, 278, pp.133-144
Journal articles hal-00131097 v2
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Asymptotics of random density matrices

Ion Nechita
Annales Henri Poincaré, 2007, 8 (8), pp.1521-1538. ⟨10.1007/s00023-007-0345-5⟩
Journal articles hal-00131136 v3
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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⟩
Book sections hal-00863534 v1

Random covariant quantum channels

Ion Nechita , Sang-Jun Park
2024
Preprints, Working Papers, ... hal-04530442 v1

A Max-Flow approach to Random Tensor Networks

Khurshed Fitter , Faedi Loulidi , Ion Nechita
2024
Preprints, Working Papers, ... hal-04652545 v1

The $\mathfrak S_k$-circular limit of random tensor flattenings

Stéphane Dartois , Camille Male , Ion Nechita
2023
Preprints, Working Papers, ... hal-04179139 v1

A physical noise model for quantum measurements

Faedi Loulidi , Ion Nechita , Clément Pellegrini
2023
Preprints, Working Papers, ... hal-04127867 v1

Estimating the entanglement of random multipartite quantum states

Khurshed Fitter , Cécilia Lancien , Ion Nechita
2022
Preprints, Working Papers, ... hal-03814025 v1

de Finetti reductions for partially exchangeable probability distributions

Ivan Bardet , Cécilia Lancien , Ion Nechita
2018
Preprints, Working Papers, ... hal-02988630 v1

On the spectral gap of random quantum channels

Carlos E. González-Guillén , Marius Junge , Ion Nechita
2018
Preprints, Working Papers, ... hal-02988628 v1

Small circulant complex Hadamard matrices of Butson type

Teodor Banica , Gaurush Hiranandani , Ion Nechita , Jean-Marc Schlenker
2013
Preprints, Working Papers, ... hal-00979267 v1

Analytic aspects of the circulant Hadamard conjecture

Teodor Banica , Ion Nechita , Jean-Marc Schlenker
2013
Preprints, Working Papers, ... hal-00854355 v1
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A permutation model for free random variables and its classical analogue

Florent Benaych-Georges , Ion Nechita
2009
Preprints, Working Papers, ... hal-00220460 v3
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Random repeated quantum interactions and random invariant states

Ion Nechita , Clément Pellegrini
2009
Preprints, Working Papers, ... hal-00361509 v1
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Gaussianization and eigenvalue statistics for Random quantum channels (III)

Benoît Collins , Ion Nechita
2009
Preprints, Working Papers, ... hal-00424058 v1
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Random quantum channels II: Entanglement of random subspaces, Renyi entropy estimates and additivity problems

Benoît Collins , Ion Nechita
2009
Preprints, Working Papers, ... hal-00393916 v3
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Discrete approximation of the free Fock space

Stéphane Attal , Ion Nechita
2008
Preprints, Working Papers, ... hal-00333163 v1
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États aléatoires, théorie quantique de l'information et probabilités libres

Ion Nechita
Mathématiques [math]. Université Claude Bernard - Lyon I, 2009. Français. ⟨NNT : ⟩
Theses tel-00371592 v1