Results 21 to 30 of about 2,653 (209)
Exploring Quantum Geometry Created by Quantum Matter
Physics, 2022 Exactly soluble models can serve as excellent tools to explore conceptual issues in non-perturbative quantum gravity. In perturbative approaches, it is only the two radiative modes of the linearized gravitational field that are quantized.
Abhay Ashtekar
doaj +1 more source
Geometry of quantum spheres [PDF]
Journal of Geometry and Physics, 2006 23 pages ...
openaire +2 more sources
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
openaire +4 more sources
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
openaire +2 more sources
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
openaire +3 more sources
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.
openaire +4 more sources
Holographic Entanglement in Group Field Theory
Universe, 2019 This work is meant as a review summary of a series of recent results concerning the derivation of a holographic entanglement entropy formula for generic open spin network states in the group field theory (GFT) approach to quantum gravity. The statistical
Goffredo Chirco
doaj +1 more source
On Characterizing the Quantum Geometry Underlying Asymptotic Safety
Frontiers in Physics, 2020 The asymptotic safety program builds on a high-energy completion of gravity based on the Reuter fixed point, a non-trivial fixed point of the gravitational renormalization group flow. At this fixed point the canonical mass-dimension of coupling constants
Aleksandr Kurov, Frank Saueressig
doaj +1 more source
Quantum gravity kinematics from extended TQFTs
New Journal of Physics, 2017 In this paper, we show how extended topological quantum field theories (TQFTs) can be used to obtain a kinematical setup for quantum gravity, i.e. a kinematical Hilbert space together with a representation of the observable algebra including operators of
Bianca Dittrich, Marc Geiller
doaj +1 more source
Emergent Sasaki-Einstein geometry and AdS/CFT
Nature Communications, 2022 It is an outstanding question in quantum gravity how to describe the emergence of classical spacetime geometry from a quantum state. Here, the authors propose a construction in the context of the gauge/gravity correspondence, producing the classical ...
Robert J. Berman +2 more
doaj +1 more source