I. Nechita

发表

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

Satvik Singh, I. Nechita, 2020, Annales Henri Poincaré.

Random positive operator valued measures

M. A. Jivulescu, T. Heinosaari, I. Nechita, 2019, Journal of Mathematical Physics.

Catalytic majorization and ` p norms

Ion Nechita, Guillaume Aubrun, Guillaume Aubrun, 2017 .

SOME ANALYTICAL ASPECTS OF HADAMARD MATRICES

I. Nechita, 2016 .

On some classes of bipartite unitary operators

Ion Nechita, I. Nechita, J. Deschamps, 2015, 1509.06543.

Positive reduction from spectra

Ion Nechita, David Reeb, M. A. Jivulescu, 2014, 1406.1277.

Generating random density matrices

B. Collins, K. Życzkowski, I. Nechita, 2010, 1010.3570.

The compatibility dimension of quantum measurements

I. Nechita, Faedi Loulidi, 2020, 2008.10317.

On the asymptotic distribution of block-modified random matrices

Carlos Vargas, I. Nechita, Octavio Arizmendi, 2015, 1508.05732.

Almost Hadamard matrices with complex entries

I. Nechita, T. Banica, 2017, 1702.02220.

Analytic aspects of the circulant Hadamard conjecture

Teodor Banica, Ion Nechita, Jean-Marc Schlenker, 2012 .

Operator Schmidt ranks of bipartite unitary matrices

I. Nechita, Alexander Müller-Hermes, 2018, Linear Algebra and its Applications.

Restrictions on the Schmidt rank of bipartite unitary operators beyond dimension two

I. Nechita, Alexander Muller-Hermes, 2016, 1612.07616.

Multipartite Entanglement Detection Via Projective Tensor Norms

M. A. Jivulescu, Cécilia Lancien, I. Nechita, 2020, Annales Henri Poincaré.

Almost One Bit Violation for the Additivity of the Minimum Output Entropy

Ion Nechita, Benoit Collins, B. Collins, 2013, Communications in Mathematical Physics.

Laws of large numbers for eigenvectors and eigenvalues associated to random subspaces in a tensor product

B. Collins, S. Belinschi, I. Nechita, 2010, 1008.3099.

QUANTUM TRAJECTORIES IN RANDOM ENVIRONMENT: THE STATISTICAL MODEL FOR A HEAT BATH

Ion Nechita, Cl'ement Pellegrini, I. Nechita, 2009, 0908.2754.

Quantum Channels With Polytopic Images and Image Additivity

Ion Nechita, Michael M. Wolf, Motohisa Fukuda, 2014, IEEE Transactions on Information Theory.

Universal models for quantum permutation groups

I. Nechita, T. Banica, 2016 .

A refinement of Reznick's Positivstellensatz with applications to quantum information theory

I. Nechita, Alexander Muller-Hermes, D. Reeb, 2019, 1909.01705.

Asymptotically Well-Behaved Input States Do Not Violate Additivity for Conjugate Pairs of Random Quantum Channels

I. Nechita, M. Fukuda, 2012, 1212.1630.

On the convergence of output sets of quantum channels

B. Collins, I. Nechita, M. Fukuda, 2013, 1311.7571.

Low entropy output states for products of random unitary channels

B. Collins, I. Nechita, M. Fukuda, 2012, 1208.1449.

Towards a state minimizing the output entropy of a tensor product of random quantum channels

B. Collins, I. Nechita, M. Fukuda, 2011, 1111.6269.

Stochastic domination for iterated convolutions and catalytic majorization

Guillaume Aubrun, I. Nechita, 2007, 0707.0211.

Joint measurability of quantum effects and the matrix diamond

I. Nechita, Andreas Bluhm, 2018, Journal of Mathematical Physics.

On symmetric decompositions of positive operators

M. A. Jivulescu, P. Gǎvruţa, I. Nechita, 2016, 1609.05060.

Random repeated quantum interactions and random invariant states

I. Nechita, C. Pellegrini, 2009, Probability Theory and Related Fields.

Catalytic Majorization and $$\ell_p$$ Norms

Guillaume Aubrun, I. Nechita, 2007, quant-ph/0702153.

How good is a positive map at detecting quantum entanglement?

I. Nechita, 2019, Quantum Views.

On the separability of unitarily invariant random quantum states - the unbalanced regime

I. Nechita, 2018, 1802.00067.

Measurement incompatibility vs. Bell non-locality: an approach via tensor norms

I. Nechita, Faedi Loulidi, 2022, 2205.12668.

The asymmetric quantum cloning region

I. Nechita, C. Pellegrini, D. Rochette, 2022, Letters in Mathematical Physics.

Measurement Incompatibility versus Bell Nonlocality: An Approach via Tensor Norms

I. Nechita, Faedi Loulidi, 2022, PRX Quantum.

A refinement of Reznick's Positivstellensatz with applications to quantum information theory

I. Nechita, Alexander Muller-Hermes, D. Reeb, 2019, 1909.01705.

A geometrical description of the universal $1 \rightarrow 2$ asymmetric quantum cloning region

I. Nechita, C. Pellegrini, D. Rochette, 2021, Quantum Inf. Process..

Random and free positive maps with applications to entanglement detection

P. Hayden, B. Collins, I. Nechita, 2015, 1505.08042.

Title Random matrix techniques in quantum information theory

B. Collins, I. Nechita, 2016 .

Estimating the entanglement of random multipartite quantum states

Cécilia Lancien, I. Nechita, Khurshed Fitter, 2022, 2209.11754.

The compatibility dimension of quantum measurements

I. Nechita, Faedi Loulidi, 2020, Journal of Mathematical Physics.

Enumerating meandric systems with large number of loops

I. Nechita, M. Fukuda, 2016, Annales de l’Institut Henri Poincaré D.

Ergodic theory of diagonal orthogonal covariant quantum channels

N. Datta, Satvik Singh, I. Nechita, 2022, 2206.01145.

Entanglement criteria for the bosonic and fermionic induced ensembles

I. Nechita, A. Tanasa, S. Dartois, 2021, Quantum Information Processing.

Almost One Bit Violation for the Additivity of the Minimum Output Entropy

S. Belinschi, I. Nechita, B. Collins, 2016, Communications in Mathematical Physics.

Random repeated quantum interactions and random invariant states

I. Nechita, C. Pellegrini, 2010, Probability Theory and Related Fields.

Asymptotic Eigenvalue Distributions of Block-Transposed Wishart Matrices

I. Nechita, T. Banica, 2012, Journal of Theoretical Probability.

Eigenvectors and eigenvalues in a random subspace of a tensor product

B. Collins, S. Belinschi, I. Nechita, 2012, Inventiones mathematicae.

Enumerating meandric systems with large number of components

I. Nechita, M. Fukuda, 2016 .

Random graph states, maximal flow and Fuss–Catalan distributions

Ion Nechita, Karol Zyczkowski, Benoit Collins, 2010, 1003.3075.

Asymptotically Well-Behaved Input States Do Not Violate Additivity for Conjugate Pairs of Random Quantum Channels

I. Nechita, M. Fukuda, 2014, Communications in Mathematical Physics.

Random pure quantum states via unitary Brownian motion

I. Nechita, C. Pellegrini, 2012, 1201.5333.

Diagonal unitary and orthogonal symmetries in quantum theory: II. Evolution operators

Ion Nechita, Satvik Singh, Satvik Singh, 2020, Quantum.

Maximal violation of steering inequalities and the matrix cube

I. Nechita, Andreas Bluhm, 2021, Quantum.

A Fisher Information-Based Incompatibility Criterion for Quantum Channels

I. Nechita, Qing-Hua Zhang, 2022, Entropy.

A tensor norm approach to quantum compatibility

I. Nechita, Andreas Bluhm, 2022, Journal of Mathematical Physics.

Incompatibility in General Probabilistic Theories, Generalized Spectrahedra, and Tensor Norms

A. Jenčová, I. Nechita, Andreas Bluhm, 2020, Communications in Mathematical Physics.

Compatibility of Quantum Measurements and Inclusion Constants for the Matrix Jewel

Ion Nechita, Andreas Bluhm, I. Nechita, 2018, SIAM J. Appl. Algebra Geom..

The joint distribution of the marginals of multipartite random quantum states

I. Nechita, L. Lionni, S. Dartois, 2018, Random Matrices: Theory and Applications.

APPLICATIONS OF RANDOM MATRICES IN QUANTUM INFORMATION THEORY

I. Nechita, 2019 .

Random matrix techniques in quantum information theory

Ion Nechita, Benoit Collins, B. Collins, 2015, 1509.04689.

RTNI—A symbolic integrator for Haar-random tensor networks

Ion Nechita, Motohisa Fukuda, Robert Koenig, 2019, Journal of Physics A: Mathematical and Theoretical.

On the Minimum Output Entropy of Random Orthogonal Quantum Channels

Ion Nechita, Motohisa Fukuda, I. Nechita, 2017, IEEE Transactions on Information Theory.

Area law for random graph states

B. Collins, K. Życzkowski, I. Nechita, 2013, 1302.0709.

Generating random quantum channels

K. Życzkowski, I. Nechita, Z. Puchała, 2020, Journal of Mathematical Physics.

USING RANDOM MATRICES IN QUANTUM INFORMATION THEORY

I. Nechita, 2016 .

SudoQ - a quantum variant of the popular game

Ion Nechita, Jordi Pillet, I. Nechita, 2020, Quantum Inf. Comput..

On the spectral gap of random quantum channels

Ion Nechita, Marius Junge, M. Junge, 2018, 1811.08847.

Almost Hadamard Matrices: General Theory and Examples

Teodor Banica, Ion Nechita, Karol Zyczkowski, 2012, Open Syst. Inf. Dyn..

A physical noise model for quantum measurements

I. Nechita, C. Pellegrini, Faedi Loulidi, 2023, 2305.19766.

On bipartite unitary matrices generating subalgebra-preserving quantum operations

Ion Nechita, Tristan Benoist, I. Nechita, 2016, 1608.05811.

On the reduction criterion for random quantum states

Ion Nechita, M. A. Jivulescu, Nicolae Lupa, 2014, 1402.4292.

Order preserving maps on quantum measurements

M. A. Jivulescu, T. Heinosaari, I. Nechita, 2022, Quantum.

Sinkhorn Algorithm for Quantum Permutation Groups

Ion Nechita, Simon Schmidt, Moritz Weber, 2019, Exp. Math..

A refinement of Reznick's Positivstellensatz with applications to quantum information theory

I. Nechita, Alexander Muller-Hermes, D. Reeb, 2019, Quantum.

A universal set of qubit quantum channels

Ion Nechita, Olivier Giraud, Marko Znidaric, 2013, 1306.0495.

Generating series and matrix models for meandric systems with one shallow side

Ion Nechita, Motohisa Fukuda, I. Nechita, 2021, 2103.03615.

Flat matrix models for quantum permutation groups

Teodor Banica, Ion Nechita, I. Nechita, 2016, Adv. Appl. Math..

Realigning random states

Ion Nechita, Guillaume Aubrun, Guillaume Aubrun, 2012, 1203.3974.

Random Quantum Channels I: Graphical Calculus and the Bell State Phenomenon

Ion Nechita, Benoit Collins, B. Collins, 2009, 0905.2313.

Asymptotic Eigenvalue Distributions of Block-Transposed Wishart Matrices

Teodor Banica, Ion Nechita, I. Nechita, 2011, 1105.2556.

Additivity rates and PPT property for random quantum channels

Ion Nechita, Motohisa Fukuda, I. Nechita, 2014, 1411.6881.

Almost all quantum channels are equidistant

Ion Nechita, Zbigniew Puchala, Lukasz Pawela, 2016, 1612.00401.

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

I. Nechita, C. Male, S. Dartois, 2023, 2307.11439.

Random quantum channels II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems

Ion Nechita, Benoit Collins, B. Collins, 2009, 0906.1877.

Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels

Ion Nechita, Benoit Collins, B. Collins, 2010, Entropy.

Eigenvectors and eigenvalues in a random subspace of a tensor product

B. Collins, S. Belinschi, I. Nechita, 2012 .

Block-modified Wishart matrices and free Poisson laws

I. Nechita, T. Banica, 2012, 1201.4792.

Discrete Approximation of the Free Fock Space

Ion Nechita, I. Nechita, St'ephane Attal, 2008, 0810.4070.

A graphical calculus for integration over random diagonal unitary matrices

Satvik Singh, I. Nechita, 2020, Linear Algebra and its Applications.

Thresholds for entanglement criteria in quantum information theory

M. A. Jivulescu, I. Nechita, Nicolae Lupa, 2015 .

The absolute positive partial transpose property for random induced states

Ion Nechita, Deping Ye, Benoit Collins, 2011, 1108.1935.

Polytope compatibility—From quantum measurements to magic squares

I. Nechita, Andreas Bluhm, Simon Schmidt, 2023, Journal of Mathematical Physics.