Results 31 to 40 of about 359,212 (230)

On the quantumness of a Hilbert space [PDF]

open access: yesQuantum 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.
openaire   +2 more sources

Shape Transformation Approaches for Fluid Dynamic Optimization

open access: yesAerospace, 2023
The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into ...
Peter Marvin Müller   +2 more
doaj   +1 more source

Path Integrals on Euclidean Space Forms [PDF]

open access: yes, 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
core   +1 more source

A gauge model for quantum mechanics on a stratified space [PDF]

open access: yes, 2008
In the Hamiltonian approach on a single spatial plaquette, we construct a quantum (lattice) gauge theory which incorporates the classical singularities.
B.C. Hall   +50 more
core   +1 more source

Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension [PDF]

open access: yesQuantum, 2019
Quantum devices, such as quantum simulators, quantum annealers, and quantum computers, may be exploited to solve problems beyond what is tractable with classical computers. This may be achieved as the Hilbert space available to perform such `calculations'
Charlie Nation, Diego Porras
doaj   +1 more source

Hypercomplex quantum mechanics

open access: yes, 1995
The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions).
A. A. Albert   +23 more
core   +2 more sources

A WEAK HILBERT SPACE THAT IS A TWISTED HILBERT SPACE

open access: yesJournal of the Institute of Mathematics of Jussieu, 2018
We construct a weak Hilbert space that is a twisted Hilbert space.
openaire   +2 more sources

Convexity, boundedness, and almost periodicity for differential equations in Hillbert space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Nirenberg for certain differential inequalities in Hilbert space.
Jerome A. Goldstein
doaj   +1 more source

The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional [PDF]

open access: yes, 2017
We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region of space, when such a notion makes sense, is defined on
Bao, Ning   +2 more
core   +2 more sources

Electron-hole generations: A numerical approach to interacting fermion systems

open access: yes, 2002
A new approach, motivated by Fock space localization, for constructing a reduced many-particle Hilbert space is proposed and tested. The self-consistent Hartree-Fock (SCHF) approach is used to obtain a single-electron basis from which the many-particle ...
Abrahams   +25 more
core   +1 more source

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