Results 21 to 30 of about 96,976 (305)
A Lorentzian quantum geometry [PDF]
Advances in Theoretical and Mathematical Physics, 2012 We propose a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems. After giving the general definition of causal fermion systems, we deduce space-time as a topological space with an underlying causal structure. Restricting attention to systems of spin dimension two, we derive the objects of our quantum geometry:
Finster, Felix, Grotz, Andreas
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Geometry of quantum spheres [PDF]
Journal of Geometry and Physics, 2006 23 pages ...
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The geometry of quantum learning [PDF]
Quantum Information Processing, 2009 Concept learning provides a natural framework in which to place the problems solved by the quantum algorithms of Bernstein-Vazirani and Grover. By combining the tools used in these algorithms--quantum fast transforms and amplitude amplification--with a novel (in this context) tool--a solution method for geometrical optimization problems--we derive a ...
Markus Hunziker +4 more
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Quantum geometry and diffusion [PDF]
Journal of High Energy Physics, 1998 We study the diffusion equation in two-dimensional quantum gravity, and show that the spectral dimension is two despite the fact that the intrinsic Hausdorff dimension of the ensemble of two-dimensional geometries is very different from two. We determine the scaling properties of the quantum gravity averaged diffusion kernel.
Ambjørn, Jan +4 more
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ON QUANTUM SPECIAL KÄHLER GEOMETRY [PDF]
International Journal of Modern Physics A, 2010 We compute the effective black hole potential V BH of the most general [Formula: see text], d = 4 (local) special Kähler geometry with quantum perturbative corrections, consistent with axion-shift Peccei–Quinn symmetry and with cubic leading order behavior.
STEFANO BELLUCCI +2 more
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SPACETIME OR QUANTUM PARTICLES: THE ONTOLOGY OF QUANTUM GRAVITY? [PDF]
, 1996 The domains of quantum theory and general relativity overlap in situations where quantum mechanical effects cannot be ignored. In order to deal with this overlap of theoretical domains, there has been a tendency to apply the rules of quantum field theory
Peter J. Riggs +2 more
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Bell Length as Mutual Information in Quantum Interference
Axioms, 2014 The necessity of a rigorously operative formulation of quantum mechanics, functional to the exigencies of quantum computing, has raised the interest again in the nature of probability and the inference in quantum mechanics.
Ignazio Licata, Davide Fiscaletti
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Elementary solution to the time-independent quantum navigation problem [PDF]
, 2015 A quantum navigation problem concerns the identification of a time-optimal Hamiltonian that realizes a required quantum process or task, under the influence of a prevailing ‘background’ Hamiltonian that cannot be manipulated.
Brody, Dorje C +3 more
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High probability of transitions in the H-I spectrum and 3D-atomic orbitals geometry [PDF]
INCAS BulletinIn the framework of the quantum model for hydrogen atom, we use the wave functions provided by the solutions of the Schrödinger equation with Coulomb potential. Considering the radial and angular densities of the localization probability, we identify the
Diana R. RADNEF-CONSTANTIN +6 more
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The geometry of quantum computation
Quantum Information and Computation, 2008 Whether the class Quantum Merlin Arthur is equal to QMA_1, or QMA with one-sided error, has been an open problem for years. This note helps to explain why the problem is difficult, by using ideas from real analysis to give a quantum oracle relative to which QMA\neqQMA_1. As a byproduct, we find that there are facts about quantum complexity classes that
Dowling, Mark R., Nielsen, Michael A.
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