Výsledky vyhledávání - "Benoît Collins"

Akademický článek

Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels

Publikováno v: Entropy, Vol 12, Iss 6, Pp 1612-1631 (2010)

Using the graphical calculus and integration techniques introduced by the authors, we study the statistical properties of outputs of products of random quantum channels for entangled inputs. In particular, we revisit and generalize models of relevanc

Externí odkaz: https://doaj.org/article/82eba35ed5a44a3d9bf0c8c25b614533

Zobrazit plný text záznamu

The Tensor Harish-Chandra–Itzykson–Zuber Integral II: Detecting Entanglement in Large Quantum Systems

Autor: Benoît Collins, Razvan Gurau, Luca Lionni

Publikováno v: Communications in Mathematical Physics, 401, pp. 669-716

We consider the recently introduced generalization of the Harish-Chandra--Itzykson--Zuber integral to tensors and discuss its asymptotic behavior when the characteristic size N of the tensors is taken to be large. This study requires us to make assum

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42a225e4d8536a71862cd9247550d0fe
https://doi.org/10.1007/s00220-023-04653-5

Zobrazit plný text záznamu

The tensor Harish-Chandra–Itzykson–Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbers

Autor: Benoît Collins, Razvan G. Gurau, Luca Lionni

Publikováno v: Journal of the European Mathematical Society.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cc861c94fc2f31da179030456e802d9b
https://doi.org/10.4171/jems/1315

Zobrazit plný text záznamu

Matrix models for $$\varvec{\varepsilon }$$-free independence

Autor: Benoît Collins, Ian Charlesworth

Publikováno v: Archiv der Mathematik. 116:585-600

We investigate tensor products of random matrices, and show that independence of entries leads asymptotically to$$\varepsilon $$ε-free independence, a mixture of classical and free independence studied by Młotkowski and by Speicher and Wysoczański

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::69fa197502081e659b71c20a68415b8c
https://doi.org/10.1007/s00013-020-01569-7

Zobrazit plný text záznamu

Characterization of Equivariant Maps and Application to Entanglement Detection

Autor: Benoît Collins, Gunjan Sapra, Ivan Bardet

Publikováno v: Annales Henri Poincaré
Annales Henri Poincaré, Springer Verlag, 2020, 21 (10), pp.3385-3406. ⟨10.1007/s00023-020-00941-1⟩
Annales Henri Poincaré, 2020, 21 (10), pp.3385-3406. ⟨10.1007/s00023-020-00941-1⟩

We study equivariant linear maps between finite-dimensional matrix algebras, as introduced by Bhat. These maps satisfy an algebraic property which makes it easy to study their positivity or k-positivity. They are therefore particularly suitable for a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a789de8992b8bac1a85f7b731a94945f
https://doi.org/10.1007/s00023-020-00941-1

Zobrazit plný text záznamu

On spectral distribution of sample covariance matrices from large dimensional and large k-fold tensor products

Autor: Benoît Collins, Jianfeng Yao, Wangjun Yuan

Publikováno v: Electronic Journal of Probability. 27

We study the eigenvalue distributions for sums of independent rank-one $k$-fold tensor products of large $n$-dimensional vectors. Previous results in the literature assume that $k=o(n)$ and show that the eigenvalue distributions converge to the celeb

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20f3706dd4c4af458adaa2c8734b9ab0
https://doi.org/10.1214/22-ejp825

Zobrazit plný text záznamu

Projections of Orbital Measures and Quantum Marginal Problems

Autor: Benoît Collins, Colin McSwiggen

This paper studies projections of uniform random elements of (co)adjoint orbits of compact Lie groups. Such projections generalize several widely studied ensembles in random matrix theory, including the randomized Horn's problem, the randomized Schur

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3d4d62f4f3a0d0917698202e5327454
http://arxiv.org/abs/2112.13908

Zobrazit plný text záznamu

Universal consistency of the k-NN rule in metric spaces and Nagata dimension

Autor: Vladimir Pestov, Benoît Collins, Sushma Kumari

Publikováno v: ESAIM: Probability and Statistics. 24:914-934

The $k$ nearest neighbour learning rule (under the uniform distance tie breaking) is universally consistent in every metric space $X$ that is sigma-finite dimensional in the sense of Nagata. This was pointed out by C\'erou and Guyader (2006) as a con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0cfb7f8d60aab042ad38687d0620c9d9
https://doi.org/10.1051/ps/2020018

Zobrazit plný text záznamu

Convergence for noncommutative rational functions evaluated in random matrices

Autor: Benoît Collins, Tobias Mai, Akihiro Miyagawa, Félix Parraud, Sheng Yin

One of the main applications of free probability is to show that for appropriately chosen independent copies of $d$ random matrix models, any noncommutative polynomial in these $d$ variables has a spectral distribution that converges asymptotically a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4ed12c4a44a44b6eb481634329dd746
http://arxiv.org/abs/2103.05962

Zobrazit plný text záznamu

On a family of linear maps from Mn(C) to Mn2(C)

Autor: Hiroyuki Osaka, Gunjan Sapra, Benoît Collins

Publikováno v: Linear Algebra and its Applications. 555:398-411

Bhat [1] characterizes the family of linear maps defined on B ( H ) which preserve unitary conjugation. We generalize this idea and study the maps with a similar equivariance property on finite-dimensional matrix algebras. We show that the maps with

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4404da6178be7f8a499fa33718c4028
https://doi.org/10.1016/j.laa.2018.06.011

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání