Results 41 to 50 of about 5,037,194 (368)
Path Integrals on Euclidean Space Forms [PDF]
, 2015 In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a reproducing kernel Hilbert space.
Capobianco, Guillermo, Reartes, Walter
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On the quantumness of a Hilbert space [PDF]
Quantum Information and Computation, 2004 We derive an exact expression for the quantumness of a Hilbert space (defined in C.A. Fuchs and M. Sasaki, Quant. Info. Comp. {\bf 3}, 377 (2003)), and show that in composite Hilbert spaces the signal states must contain at least some entangled states in order to achieve such a sensitivity.
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Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
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On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space [PDF]
, 1966 R. G. Douglas
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Space from Hilbert Space: Recovering Geometry from Bulk Entanglement [PDF]
, 2016 We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert space H into a tensor product of factors, we consider a class of “redundancy ...
ChunJun Cao, S. Carroll, S. Michalakis
semanticscholar +1 more source
Physics Letters B, 2005 We show that discretization of spacetime naturally suggests discretization of Hilbert space itself. Specifically, in a universe with a minimal length (for example, due to quantum gravity), no experiment can exclude the possibility that Hilbert space is discrete. We give some simple examples involving qubits and the Schrodinger wavefunction, and discuss
Roman V. Buniy +2 more
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Outer approximation methods for solving variational inequalities in Hilbert space [PDF]
, 2017 In this paper, we study variational inequalities in a real Hilbert space, which are governed by a strongly monotone and Lipschitz continuous operator F over a closed and convex set C.
A. Gibali, S. Reich, Rafał Zalas
semanticscholar +1 more source
Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamical resource. [PDF]
Physical Review E, 2016 Multilevel autonomous quantum thermal machines are discussed. In particular, we explore the relationship between the size of the machine (captured by Hilbert space dimension) and the performance of the machine.
Ralph Silva +3 more
semanticscholar +1 more source
Australian & New Zealand Journal of Statistics, 2014 SummaryA Bayes linear space is a linear space of equivalence classes of proportional σ‐finite measures, including probability measures. Measures are identified with their density functions. Addition is given by Bayes' rule and substraction by Radon–Nikodym derivatives. The present contribution shows the subspace of square‐log‐integrable densities to be
Boogaart, K. Gerald van den +2 more
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Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]
, 2008 We construct finitely generated groups with arbitrary prescribed Hilbert space compression \alpha from the interval [0,1]. For a large class of Banach spaces E (including all uniformly convex Banach spaces), the E-compression of these groups coincides ...
Arzhantseva, Goulnara +2 more
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