SELECT * FROM DAFc WHERE DAFc="UC4R1IsRVKs_qlWKTm9pT82Q"
Guillaume Aubrun - Entangleability of Cones
· 10.06.2024 · 14:37:37 ··· Montag ⭐ 3 🎬 44
📺 Institut des Hautes Etudes Scientifiques (IHES)
We solve a long-standing conjecture by Barker, proving that the minimal and maximal tensor products of two finite-dimensional proper cones coincide if and only if one of the two cones is generated by a linearly independent set. Here, given two proper cones $C1, C2$, their minimal tensor product is the cone generated by products of the form $x1 \otimes x2$, where $x1 \in C1$ and $x2 \in C2$, while their maximal tensor product is the set of tensors that are positive under all product functionals $f1 \otimes f2$, where $f1$ is positive on $C1$ and $f2$ is positive on $C2$. Our proof techniques involve a mix of convex geometry, elementary algebraic topology, and computations inspired by quantum information theory. Our motivation comes from the foundations of physics: as an application, we show that any two non-classical systems modelled by general probabilistic theories can be entangled.
Guillaume Aubrun (Institut Camille Jordan, Lyon)
===
Find this and many more scientific videos on https://www.carmin.tv/ - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.
===
· 10.06.2024 · 14:37:37 ··· Montag
U
U
L
L
T
* 1718023057
* 1718023057
X 44
Y 3
P
C 19762
B 5
V 90
* · 28.07.2022 · 00:00:00 ···
2 · 30.04.2023 · 05:39:01 ···
L · 30.06.2024 · 10:08:39 ···
C · 05.07.2024 · 10:08:42 ···
💘 🖱️ * · 01.01.1970 · 01:00:00 ···
* · 01.01.1970 · 01:00:00 ···
· 01.01.1970 · 01:00:00 ···
**##
*** · 01.01.1970 · 01:00:00 ··· ::
*2* · 01.01.1970 · 01:00:00 ··· ::
*L* · 01.01.1970 · 01:00:00 ··· ::
*C* · 01.01.1970 · 01:00:00 ··· ::
********
