Results 41 to 50 of about 60,391 (204)
Tractability of Tensor Product Linear Operators in Weighted Hilbert Spaces [PDF]
gmj, 2001 Abstract We study tractability in the worst case setting of tensor product linear operators defined over weighted tensor product Hilbert spaces. Tractability means that the minimal number of evaluations needed to reduce the initial error by a factor of ε in the d-dimensional case has a polynomial bound in both ε –1 and ...
Henryk Woźniakowski
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A new class of entanglement measures
, 2001 We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space.
Bennett C. H. +9 more
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On embeddings of weighted tensor product Hilbert spaces
Journal of Complexity, 2015 We study embeddings between tensor products of weighted reproducing kernel Hilbert spaces. The setting is based on a sequence of weights γ j 0 and sequences 1 + γ j k and 1 + l γ j of reproducing kernels k such that H ( 1 + γ j k ) = H ( 1 + l γ j ) , in particular. We derive necessary and sufficient conditions for the norms on ? j = 1 s H ( 1 + γ j k )
Klaus Ritter, Mario Hefter
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Fermionic tensor network methods
SciPost PhysicsWe show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of tensor network methods for fermionic lattice systems in a local way, avoiding
Quinten Mortier, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, Laurens Vanderstraeten
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Generalized fusion frame in tensor product of Hilbert spaces
, 2021 Generalized fusion frame and some of their properties in tensor product of Hilbert spaces are described. Also, the canonical dual g-fusion frame in tensor product of Hilbert spaces is considered.
Ghosh, Prasenjit, Samanta, Tapas Kumar
core
On the joint distribution of the marginals of multipartite random quantum states
, 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
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Business Strategy and the Environment, EarlyView.ABSTRACT This study examined how Bitcoin, energy prices, and geopolitical risk interact by examining the first four moments (mean, variance, skewness, and kurtosis) of their return distributions by using wavelet analysis. The findings reveal that the co‐movement patterns of energy index, geopolitical risk index, and Bitcoin prices are time and ...
Pooja Kumari +4 more
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Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions
Journal of High Energy PhysicsIn this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
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States of quantum systems and their liftings
, 2000 Let H(1), H(2) be complex Hilbert spaces, H be their Hilbert tensor product and let tr2 be the operator of taking the partial trace of trace class operators in H with respect to the space H(2). The operation tr2 maps states in H (i.e.
Accardi +9 more
core +1 more source
Extended quantum conditional entropy and quantum uncertainty inequalities [PDF]
, 2012 Quantum states can be subjected to classical measurements, whose incompatibility, or uncertainty, can be quantified by a comparison of certain entropies. There is a long history of such entropy inequalities between position and momentum.
C. Davis +18 more
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