Results 21 to 30 of about 62,388 (221)

Tensor products of C-algebras, operator spaces and Hilbert C-modules

open access: greenMathematical communications, 1999
This article is a review of the basic results on tensor products of C*-algebras, operator spaces and Hilbert C*-modules.
Franka Miriam Brückler
openalex   +5 more sources

Quantum mereology in finite quantum mechanics

open access: yesDiscrete and Continuous Models and Applied Computational Science, 2021
Any Hilbert space with composite dimension can be factored into a tensor product of smaller Hilbert spaces. This allows us to decompose a quantum system into subsystems.
Vladimir V. Kornyak
doaj   +1 more source

Wormholes, geons, and the illusion of the tensor product

open access: yesJournal of High Energy Physics, 2023
In this paper I argue that the Hilbert space of states of a holographic, traversable wormhole does not factorize into the tensor product of the boundary Hilbert spaces.
Adam Bzowski
doaj   +1 more source

Detection of Interaction Effects in a Nonparametric Concurrent Regression Model

open access: yesEntropy, 2023
Many methods have been developed to study nonparametric function-on-function regression models. Nevertheless, there is a lack of model selection approach to the regression function as a functional function with functional covariate inputs.
Rui Pan, Zhanfeng Wang, Yaohua Wu
doaj   +1 more source

On the joint distribution of the marginals of multipartite random quantum states [PDF]

open access: yes, 2020
We study the joint distribution of the set of all marginals of a random Wishart matrix acting on a tensor product Hilbert space. We compute the limiting free mixed cumulants of the marginals, and we show that in the balanced asymptotical regime, the ...
Dartois, Stephane   +2 more
core   +2 more sources

Tensor dimensionality reduction via mode product and HSIC

open access: yesIET Image Processing, 2021
Tensor dimensionality reduction (TDR) is a hot research topic in machine learning, which learns data representations by preserving the original data structure while avoiding convert samples into vectors and solving the problem of the curse of ...
Guo Niu, Zhengming Ma
doaj   +1 more source

Bipartite Mixed States of Infinite-Dimensional Systems are Generically Nonseparable [PDF]

open access: yes, 1999
Given a bipartite quantum system represented by a tensor product of two Hilbert spaces, we give an elementary argument showing that if either component space is infinite-dimensional, then the set of nonseparable density operators is trace-norm dense in ...
A. Peres   +26 more
core   +2 more sources

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