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1

Eigenvectors and eigenvalues in a random subspace of a tensor product

Serban Belinschi, Benoît Collins, Ion Nechita

Journal:

Inventiones mathematicae

Year:

2012

Language:

english

File:

PDF, 1.39 MB

english, 2012

2

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

Benoît Collins, Ion Nechita

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 220 KB

english, 2011

3

Catalytic Majorization and(ell_p)Norms

Guillaume Aubrun, Ion Nechita

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 242 KB

english, 2008

4

LOW ENTROPY OUTPUT STATES FOR PRODUCTS OF RANDOM UNITARY CHANNELS

COLLINS, BENOÎT, FUKUDA, MOTOHISA, NECHITA, ION

Journal:

Random Matrices Theory and Applications

Year:

2013

Language:

english

File:

PDF, 586 KB

english, 2013

5

Almost all quantum channels are equidistant

Nechita, Ion, Puchała, Zbigniew, Pawela, Łukasz, Życzkowski, Karol

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 528 KB

english, 2018

6

The joint distribution of the marginals of multipartite random quantum states

Dartois, Stephane, Lionni, Luca, Nechita, Ion

Journal:

Random Matrices Theory and Applications

Year:

2020

File:

PDF, 2.16 MB

2020

7

Asymptotics of Random Density Matrices

Journal:

Annales Henri Poincaré

Year:

2007

Language:

english

File:

PDF, 473 KB

english, 2007

8

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

Benoît Collins, Ion Nechita

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 676 KB

english, 2010

9

Random repeated quantum interactions and random invariant states

Ion Nechita, Clément Pellegrini

Journal:

Probability Theory and Related Fields

Year:

2012

Language:

english

File:

PDF, 345 KB

english, 2012

10

Asymptotic Eigenvalue Distributions of Block-Transposed Wishart Matrices

Teodor Banica, Ion Nechita

Journal:

Journal of Theoretical Probability

Year:

2013

Language:

english

File:

PDF, 589 KB

english, 2013

11

Almost Hadamard matrices: The case of arbitrary exponents

Banica, Teodor, Nechita, Ion

Journal:

Discrete Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 350 KB

english, 2013

12

A universal set of qubit quantum channels

Braun, Daniel, Giraud, Olivier, Nechita, Ion, Pellegrini, Clément, Žnidarič, Marko

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 1.29 MB

english, 2014

13

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

Fukuda, Motohisa, Nechita, Ion

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 677 KB

english, 2014

14

Positive reduction from spectra

Jivulescu, Maria Anastasia, Lupa, Nicolae, Nechita, Ion, Reeb, David

Journal:

Linear Algebra and its Applications

Year:

2015

Language:

english

File:

PDF, 517 KB

english, 2015

15

Generating random density matrices

Życzkowski, Karol, Penson, Karol A., Nechita, Ion, Collins, Benoı̂t

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 755 KB

english, 2011

16

Almost Hadamard Matrices: General Theory and Examples

Banica, Teodor, Nechita, Ion, Życzkowski, Karol

Journal:

Open Systems & Information Dynamics

Year:

2012

Language:

english

File:

PDF, 353 KB

english, 2012

17

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

NECHITA, ION, PELLEGRINI, CLÉMENT

Journal:

Confluentes Mathematici

Year:

2009

Language:

english

File:

PDF, 471 KB

english, 2009

18

THE MULTIPLICATIVE PROPERTY CHARACTERIZES ℓ p AND L p NORMS

AUBRUN, GUILLAUME, NECHITA, ION

Journal:

Confluentes Mathematici

Year:

2011

Language:

english

File:

PDF, 187 KB

english, 2011

19

On the reduction criterion for random quantum states

Jivulescu, Maria Anastasia, Lupa, Nicolae, Nechita, Ion

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 741 KB

english, 2014

20

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

Collins, Benoı̂t, Fukuda, Motohisa, Nechita, Ion

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 688 KB

english, 2012

21

Quantum Channels With Polytopic Images and Image Additivity

Fukuda, Motohisa, Nechita, Ion, Wolf, Michael M.

Journal:

IEEE Transactions on Information Theory

Year:

2015

Language:

english

File:

PDF, 307 KB

english, 2015

22

Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels

Collins, Benoît, Nechita, Ion

Journal:

Year:

2010

Language:

english

File:

PDF, 623 KB

english, 2010

23

Area law for random graph states

Collins, Benoît, Nechita, Ion, Życzkowski, Karol

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 391 KB

english, 2013

24

Realigning random states

Aubrun, Guillaume, Nechita, Ion

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 344 KB

english, 2012

25

THE ABSOLUTE POSITIVE PARTIAL TRANSPOSE PROPERTY FOR RANDOM INDUCED STATES

COLLINS, BENOIT, NECHITA, ION, YE, DEPING

Journal:

Random Matrices Theory and Applications

Year:

2012

Language:

english

File:

PDF, 322 KB

english, 2012

26

GAUSSIANIZATION AND EIGENVALUE STATISTICS FOR RANDOM QUANTUM CHANNELS (III)

Benoît Collins and Ion Nechita

Journal:

The Annals of Applied Probability

Year:

2011

Language:

english

File:

PDF, 2.47 MB

english, 2011

27

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

Belinschi, Serban T., Collins, Benoît, Nechita, Ion

Journal:

Communications in Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 640 KB

english, 2016

28

Random and Free Positive Maps with Applications to Entanglement Detection

Benoît, Collins, Patrick, Hayden, Ion, Nechita

Journal:

International Mathematics Research Notices

Year:

2016

Language:

english

File:

PDF, 203 KB

english, 2016

29

On some classes of bipartite unitary operators

Deschamps, Julien, Nechita, Ion, Pellegrini, Clément

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2016

Language:

english

File:

PDF, 548 KB

english, 2016

30

Flat matrix models for quantum permutation groups

Banica, Teodor, Nechita, Ion

Journal:

Advances in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 434 KB

english, 2017

31

Gaussianization and eigenvalue statistics for random quantum channels (III)

Collins, Benoît, Nechita, Ion

Journal:

The Annals of Applied Probability

Year:

2011

Language:

english

File:

PDF, 433 KB

english, 2011

32

Random pure quantum states via unitary Brownian motion

Nechita, Ion, Pellegrini, Clément

Journal:

Electronic Communications in Probability

Year:

2013

Language:

english

File:

PDF, 264 KB

english, 2013

33

Random matrix techniques in quantum information theory

Collins, Benoît, Nechita, Ion

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 793 KB

english, 2016

34

On symmetric decompositions of positive operators

Jivulescu, Maria Anastasia, Nechita, Ion, Găvruţa, Paşc

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2017

Language:

english

File:

PDF, 1.03 MB

english, 2017

35

On bipartite unitary matrices generating subalgebra-preserving quantum operations

Benoist, Tristan, Nechita, Ion

Journal:

Linear Algebra and its Applications

Year:

2017

Language:

english

File:

PDF, 643 KB

english, 2017

36

On the Minimum Output Entropy of Random Orthogonal Quantum Channels

Fukuda, Motohisa, Nechita, Ion

Journal:

IEEE Transactions on Information Theory

Year:

2018

Language:

english

File:

PDF, 457 KB

english, 2018

37

On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime

Journal:

Advances in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 1.53 MB

english, 2018

38

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

Müller-Hermes, Alexander, Nechita, Ion

Journal:

Linear Algebra and its Applications

Year:

2018

Language:

english

File:

PDF, 275 KB

english, 2018

39

Joint measurability of quantum effects and the matrix diamond

Bluhm, Andreas, Nechita, Ion

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 848 KB

english, 2018

40

On the asymptotic distribution of block-modified random matrices

Arizmendi, Octavio, Nechita, Ion, Vargas, Carlos

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 1.90 MB

english, 2016

41

Random positive operator valued measures

Heinosaari, Teiko, Jivulescu, Maria Anastasia, Nechita, Ion

Journal:

Journal of Mathematical Physics

Year:

2020

File:

PDF, 5.23 MB

2020

42

Enumerating meandric systems with large number of loops

Fukuda, Motohisa, Nechita, Ion

Journal:

Annales de l'Institut Henri Poincaré D

Year:

2019

File:

PDF, 588 KB

2019