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20012026
most citedExact and Approximate Unitary 2-Designs: Constructions and Applications

690 citations · 5.8k across the 154 of their papers we have counts for

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Showing 2005Show all

10 papers · 1 filter

hep-th2005★ 58 cited

The Free Particle in Deformed Special Relativity

F. Girelli, T. Konopka, J. Kowalski-Glikman +1

The phase space of a classical particle in DSR contains de Sitter space as the space of momenta. We start from the standard relativistic particle in five dimensions with an extra c…

hep-th2005★ 298 cited

3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory

Laurent Freidel, Etera R. Livine

We show that the effective dynamics of matter fields coupled to 3d quantum gravity is described after integration over the gravitational degrees of freedom by a braided non-commuta…

gr-qc2005★ 16 cited

Coupling of spacetime atoms and spin foam renormalisation from group field theory

Etera R. Livine, Daniele Oriti

We study the issue of coupling among 4-simplices in the context of spin foam models obtained from a group field theory formalism. We construct a generalisation of the Barrett-Crane…

hep-th2005★ 12 cited

Coherent States for 3d Deformed Special Relativity: semi-classical points in a quantum flat spacetime

E. R. Livine, D. Oriti

We analyse the quantum geometry of 3-dimensional deformed special relativity (DSR) and the notion of spacetime points in such a context, identified with coherent states that minimi…

gr-qc2005★ 99 cited

Quantum Black Holes: Entropy and Entanglement on the Horizon

Etera R. Livine, Daniel R. Terno

We are interested in black holes in Loop Quantum Gravity (LQG). We study the simple model of static black holes: the horizon is made of a given number of identical elementary surfa…

quant-ph2005★ 94 cited

Convergence Conditions for Random Quantum Circuits

Joseph Emerson, Etera Livine, Seth Lloyd

Efficient methods for generating pseudo-randomly distributed unitary operators are needed for the practical application of Haar distributed random operators in quantum communicatio…

gr-qc2005★ 93 cited

Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators

Florian Girelli, Etera R. Livine

Loop Quantum Gravity defines the quantum states of space geometry as spin networks and describes their evolution in time. We reformulate spin networks in terms of harmonic oscillat…

hep-th2005★ 267 cited

Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory

Laurent Freidel, Etera R. Livine

We study the no gravity limit G_{N}-> 0 of the Ponzano-Regge amplitudes with massive particles and show that we recover in this limit Feynman graph amplitudes (with Hadamard propag…

quant-ph2005★ 15 cited

Entanglement of zero angular momentum mixtures and black hole entropy

Etera R. Livine, Daniel R. Terno

We calculate the entanglement of formation and the entanglement of distillation for arbitrary mixtures of the zero spin states on an arbitrary-dimensional bipartite Hilbert space.…

gr-qc2005★ 4 cited

Some Remarks on the Semi-Classical Limit of Quantum Gravity

Etera R. Livine

One of the most important issues in quantum gravity is to identify its semi-classical regime. First the issue is to define for we mean by a semi-classical theory of quantum gravity…