Geometry and quantum noise

Quantum geometry and quantum algorithms

S Garnerone†,♯, A Marzuoli‡ and M Rasetti†,♯ †Dipartimento di Fisica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129 Torino (Italy); ♯ Institute of Scientific Interchange, Villa Gualino, Viale Settimio Severo 75, 10131 Torino (Italy); ‡Dipartimento di Fisica Nucleare e Teorica, Universita’ degli Studi di Pavia and Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, via A. Bassi ...

Quantum Geometry and Quantum Gravity

The purpose of this contribution is to give an introduction to quantum geometry and loop quantum gravity for a wide audience of both physicists and mathematicians. From a physical point of view the emphasis will be on conceptual issues concerning the relationship of the formalism with other more traditional approaches inspired in the treatment of the fundamental interactions in the standard mod...

Quantum Geometry and Diffusion

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. email [email protected] email [email protected] email [email protected]....

Quantum Geometry and Diiusion

We study the diiusion equation in two-dimensional quantum gravity, and show that the spectral dimension is two despite the fact that the intrinsic Hausdorr dimension of the ensemble of two-dimensional geometries is very diierent from two. We determine the scaling properties of the quantum gravity averaged diiusion kernel.

Quantum Entanglement and Geometry