Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Marius Junge"'
Autor:
Marius Junge, Quanhua Xu
Publikováno v:
Acta Mathematica Scientia. 41:2173-2182
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfe9191456e2ed94c23d8795657cc56b
https://doi.org/10.1007/s10473-021-0622-2
https://doi.org/10.1007/s10473-021-0622-2
Publikováno v:
Journal of Topology and Analysis. :1-54
We study the “geometric Ricci curvature lower bound”, introduced previously by Junge, Li and LaRacuente, for a variety of examples including group von Neumann algebras, free orthogonal quantum groups [Formula: see text], [Formula: see text]-defor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ea35b3fb276e7b0e7a3f28f06e27295
https://doi.org/10.1142/s1793525321500461
https://doi.org/10.1142/s1793525321500461
Publikováno v:
Annales Henri Poincaré. 21:3409-3478
We prove a version of Talagrand’s concentration inequality for subordinated sub-Laplacians on a compact Riemannian manifold using tools from noncommutative geometry. As an application, motivated by quantum information theory, we show that on a fini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b526e96edca91fa75c62060b5fbd64e
https://doi.org/10.1007/s00023-020-00947-9
https://doi.org/10.1007/s00023-020-00947-9
Publikováno v:
E-Prints Complutense. Archivo Institucional de la UCM
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In this work we show that, given a linear map from a general operator space into the dual of a C$^*$-algebra, its completely bounded norm is upper bounded by a universal constant times its $(1,cb)$-summing norm. This problem is motivated by the study
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a17cc3884962322961fddeb3764a88e
http://arxiv.org/abs/2112.05214
http://arxiv.org/abs/2112.05214
Autor:
Marius Junge, Nicholas LaRacuente
Publikováno v:
Journal of Mathematical Physics. 63:122204
Trace inequalities are general techniques with many applications in quantum information theory, often replacing the classical functional calculus in noncommutative settings. The physics of quantum field theory and holography, however, motivates entro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58c446e7c7b7415db0bbc28d7ae329a8
https://doi.org/10.1063/5.0066653
https://doi.org/10.1063/5.0066653
There are various ways to quantify the communication capabilities of a quantum channel. In this work we study the communication value (cv) of channel, which describes the optimal success probability of transmitting a randomly selected classical messa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bf26c10a6deab0d9fad3f6003ef87e5
http://arxiv.org/abs/2109.11144
http://arxiv.org/abs/2109.11144
Publikováno v:
International Mathematics Research Notices. 2021:9146-9179
We show for any $d,m\ge 2$ with $(d,m)\neq (2,2)$, the matrix-valued generalization of the (tensor product) quantum correlation set of $d$ inputs and $m$ outputs is not closed. Our argument uses a reformulation of super-dense coding and teleportation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25c5d0298ba0e4a1a5d415f924ab3e5f
https://doi.org/10.1093/imrn/rnz095
https://doi.org/10.1093/imrn/rnz095
Publikováno v:
Oberwolfach Reports. 15:1293-1379
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc3725dec369cf61169e91718abd4840
https://doi.org/10.4171/owr/2018/22
https://doi.org/10.4171/owr/2018/22
Publikováno v:
E-Prints Complutense. Archivo Institucional de la UCM
Universidad Europea (UEM)
Universidad Europea (UEM)
In this work we initiate the study of Position Based Quantum Cryptography (PBQC) from the perspective of geometric functional analysis and its connections with quantum games. The main question we are interested in asks for the optimal amount of entan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaf6ad0ffde49ab62c5a09f6f9d113cc
http://arxiv.org/abs/2103.16357
http://arxiv.org/abs/2103.16357
Publikováno v:
Digital.CSIC. Repositorio Institucional del CSIC
instname
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Calder´on-Zygmund theory has been traditionally developed on metric measure spaces satisfying additional regularity properties. In the lack of good metrics, we introduce a new approach for general measure spaces which admit a Markov semigroup satisf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b0fb2ba7009b17d5cb9072093142551
http://hdl.handle.net/10261/228886
http://hdl.handle.net/10261/228886