690 citations · 5.8k across the 154 of their papers we have counts for
6 papers · 1 filter
Quantizing speeds with the cosmological constant
Florian Girelli, Etera R. Livine
Considering the Barrett-Crane spin foam model for quantum gravity with (positive) cosmological constant, we show that speeds must be quantized and we investigate the physical impli…
Holonomic quantum computation in the presence of decoherence
Ivette Fuentes-Guridi, Florian Girelli, Etera R. Livine
We present a scheme to study non-abelian adiabatic holonomies for open Markovian systems. As an application of our framework, we analyze the robustness of holonomic quantum computa…
Boucles et Mousses de Spin en Gravite Quantique
Etera R. Livine
I review the formalism of loop quantum gravity, in both its real and complex formulations, and spin foam theory which is its path integral counterpart. Spin networks for non-compac…
Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam Models
Etera R. Livine, Robert Oeckl
We show how super BF theory in any dimension can be quantized as a spin foam model, generalizing the situation for ordinary BF theory. This is a first step toward quantizing superg…
Causality in spin foam models for quantum gravity
Etera R. Livine, Daniele Oriti
We describe how the Barrett-Crane spin foam model defines transition amplitudes for quantum gravity states and how causality can be consistently implemented in it.
Spectra of Length and Area in 2+1 Lorentzian Loop Quantum Gravity
Laurent Freidel, Etera R. Livine, Carlo Rovelli
We study the spectrum of the length and area operators in Lorentzian loop quantum gravity, in 2+1 spacetime dimensions. We find that the spectrum of spacelike intervals is continuo…