Results 1 to 10 of about 62,884 (217)
Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
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WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES [PDF]
Journal of Algebraic Systems, 2020 The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions.
S. Afshar Jahanshahi, A. Ahmadi
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Numerical range of tensor product of operators in semi-Hilbert spaces
Kuwait Journal of ScienceLet A and B be two positive bounded linear operators acting on the complex Hilbert spaces H and K, respectively. In this paper, we study the (A⊗B)-numerical range WA⊗B(T⊗S) of the tensor product T⊗S for two bounded linear operators T and S on H and K ...
Najla Altwaijry +3 more
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A Max-Flow Approach to Random Tensor Networks [PDF]
EntropyThe entanglement entropy of a random tensor network (RTN) is studied using tools from free probability theory. Random tensor networks are simple toy models that help in understanding the entanglement behavior of a boundary region in the anti-de Sitter ...
Khurshed Fitter +2 more
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Detection of Interaction Effects in a Nonparametric Concurrent Regression Model [PDF]
Entropy, 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
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Frames and bases in tensor products of Hilbert spaces and Hilbert C*-modules [PDF]
, 2007 In this article, we study tensor product of Hilbert $C^*$-modules and Hilbert spaces. We show that if $E$ is a Hilbert $A$-module and $F$ is a Hilbert $B$-module, then tensor product of frames (orthonormal bases) for $E$ and $F$ produce frames ...
Khosravi, Amir, Khosravi, Behrooz
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Quantum mereology in finite quantum mechanics
Discrete 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
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Wormholes, geons, and the illusion of the tensor product
Journal 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
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Tensor dimensionality reduction via mode product and HSIC
IET 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
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Bipartite Mixed States of Infinite-Dimensional Systems are Generically Nonseparable [PDF]
, 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
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