Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Vern I. Paulsen"'
Publikováno v:
Annales Henri Poincaré.
The theory of positive maps plays a central role in operator algebras and functional analysis, and has countless applications in quantum information science. The theory was originally developed for operators acting on complex Hilbert spaces, and litt
Publikováno v:
Linear Algebra Appl.
Linear Algebra Appl., 2023, 663, pp.102-115. ⟨10.1016/j.laa.2023.01.003⟩
Linear Algebra Appl., 2023, 663, pp.102-115. ⟨10.1016/j.laa.2023.01.003⟩
Arveson's extension theorem guarantees that every completely positive map defined on an operator system can be extended to a completely positive map defined on the whole C*-algebra containing it. An analogous statement where complete positivity is re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7f88df6f07369ef6d896b5bc9391a7e
https://hal.science/hal-03659614
https://hal.science/hal-03659614
Autor:
Vern I. Paulsen, Kenneth R. Davidson
Publikováno v:
Bulletin of the American Mathematical Society. 59:133-137
Autor:
Mateusz Wasilewski, Kari Eifler, Michael Brannan, Samuel J. Harris, Xiaoyu Su, Alexandru Chirvasitu, Vern I. Paulsen
Publikováno v:
Communications in Mathematical Physics. 375:1777-1809
We study the graph isomorphism game that arises in quantum information theory from the perspective of bigalois extensions of compact quantum groups. We show that every algebraic quantum isomorphism between a pair of (quantum) graphs $X$ and $Y$ arise
Publikováno v:
Bulletin of the London Mathematical Society. 51:868-876
Let $A = (A_1, \dots, A_m)$ be an $m$-tuple of elements of a unital $C$*-algebra ${\cal A}$ and let $M_q$ denote the set of $q \times q$ complex matrices. The joint $q$-matricial range $W^q(A)$ is the set of $(B_1, \dots, B_m) \in M_q^m$ such that $B
Autor:
Ivan G. Todorov, Laura Mančinska, Martino Lupini, Vern I. Paulsen, David E. Roberson, Andreas Winter, Simone Severini, Giannicola Scarpa
Publikováno v:
Lupini, M, Mančinska, L, Paulsen, V I, Roberson, D E, Scarpa, G, Severini, S, Todorov, I G & Winter, A 2020, ' Perfect Strategies for Non-Local Games ', Mathematical Physics, Analysis and Geometry, vol. 23, no. 1, 7 . https://doi.org/10.1007/s11040-020-9331-7
We describe the main classes of non-signalling bipartite correlations in terms of states on operator system tensor products. This leads to the introduction of another new class of games, called reflexive games, which are characterised as the hardest
Publikováno v:
Quantum Information and Computation. 18:472-480
M. Christandl conjectured that the composition of any trace preserving PPT map with itself is entanglement breaking. We prove that Christandl's conjecture holds asymptotically by showing that the distance between the iterates of any unital or trace p
Publikováno v:
Proceedings of the American Mathematical Society. 146:1189-1195
We define the complete numerical radius norm for homomorphisms from any operator algebra into B ( H ) \mathcal B(\mathcal H) , and show that this norm can be computed explicitly in terms of the completely bounded norm. This is used to show that if K
Autor:
Mizanur Rahaman, Vern I. Paulsen
We introduce a new class of non-local games, and corresponding densities, which we call bisynchronous. Bisynchronous games are a subclass of synchronous games and exhibit many interesting symmetries when the algebra of the game is considered. We deve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::472ae464c1a2f7f62c7157c2556e1efe
http://arxiv.org/abs/1908.03842
http://arxiv.org/abs/1908.03842
Autor:
Vern I. Paulsen, Satish K. Pandey
Publikováno v:
Journal of the Australian Mathematical Society. 102:369-391
We establish a spectral characterization theorem for the operators on complex Hilbert spaces of arbitrary dimensions that attain their norm on every closed subspace. The class of these operators is not closed under addition. Nevertheless, we prove th