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Tensor products of Hilbert space effect algebras
Reports on Mathematical Physics, 2004Abstract A definition of a tensor product in the category of Hilbert space effect algebras is introduced such that the tensor product reflects as much as possible of the physically important properties of the components. It is shown that in the complex case, there are two candidates to the tensor product, which are not equivalent.
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Tensor product formulation for Hilbert space-filling curves
2003 International Conference on Parallel Processing, 2003. Proceedings., 2003We present a tensor product formulation for Hilbert space-filling curves. Both recursive and iterative formulas are expressed in the paper. We view a Hilbert space-filling curve as a permutation which maps two-dimensional 2(superscript n)×2(superscript n) data elements stored in the row major or column major order to the order of traversing a Hilbert ...
Chua-Huang Huang +3 more
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Observables and States in Tensor Products of Hilbert Spaces
1992Suppose (Ω i , F i ), 1 ≤ i ≤ n are sample spaces describing the elementary outcomes and events concerning n different statistical systems in classical probability. To integrate them into a unified picture under the umbrella of a single sample space one takes their cartesian product (Ω, F) where Ω = Ω1 x … x Ω n , F = F1 x … x F n , the smallest σ ...
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Phase space methods in a continuous tensor product of Hilbert spaces
AIP Conference Proceedings, 2006A continuum of coupled oscillators is considered, described by a continuous tensor product of Hilbert spaces. The mode position Ux and the mode momentum Up are operators which act collectively on all oscillators. They obey equations of motion which are very similar to those of a harmonic oscillator.
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Gleason measures on infinite tensor products of Hilbert spaces
Journal of Mathematical Physics, 1977Nowak [Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 22, 393–5 (1974)] has given an example of a consistent (in the sense of Kolmogorov) family of Gleason measures [A. M. Gleason, J. Math. Mech. 6, 885–94 (1957)] {mn} defined over ⊗ni=1Hi which do not extend to a Gleason measure on ⊙∞i=1 ΦHi for a given construction of the infinite tensor product.
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Continuous tensor products of hilbert spaces and generalized random fields
Il Nuovo Cimento B Series 10, 1968The infinite tensor product is generalized to a tensor product of certain Hilbert spaces over a topological index set. The criterion for positivity of characteristic functionals of generalized random processes is used to construct two distinct types of continuous tensor products.
R. F. Streater, A. Wulfsohn
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Estimates for norms of resolvents of~operators on tensor products of Hilbert spaces
Periodica Mathematica Hungarica, 2004A class of linear operators on tensor products of Hilbert spaces is considered. That class contains integro-differential operators arising in various applications. Estimates for the norm of the resolvent of considered operators are derived. By virtue of the obtained estimates, the spectrum of perturbed operators is investigated.
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Natural products in drug discovery: advances and opportunities
Nature Reviews Drug Discovery, 2021Atanas G Atanasov +2 more
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021J Ignacio Cirac +2 more
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Strategic Use of Visible-Light Photoredox Catalysis in Natural Product Synthesis
Chemical Reviews, 2022Spencer P Pitre, Larry E Overman
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