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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 2006Show all

7 papers · 1 filter

gr-qc2006★ 7 cited

Some comments on the universal constant in DSR

Florian Girelli, Etera R. Livine

Deformed Special Relativity is usually presented as a deformation of Special Relativity accommodating a new universal constant, the Planck mass, while respecting the relativity pri…

gr-qc2006★ 26 cited

Quantum causal histories in the light of quantum information

Etera R. Livine, Daniel R. Terno

We use techniques of quantum information theory to analyze the quantum causal histories approach to quantum gravity. We show that while it is consistent to introduce closed timelik…

gr-qc2006★ 16 cited

Towards a Covariant Loop Quantum Gravity

Etera R. Livine

We review the canonical analysis of the Palatini action without going to the time gauge as in the standard derivation of Loop Quantum Gravity. This allows to keep track of the Lore…

gr-qc2006★ 78 cited

Group Integral Techniques for the Spinfoam Graviton Propagator

Etera R. Livine, Simone Speziale

We consider the proposal of gr-qc/0508124 for the extraction of the graviton propagator from the spinfoam formalism. We propose a new ansatz for the boundary state, using which we…

quant-ph2006★ 690 cited

Exact and Approximate Unitary 2-Designs: Constructions and Applications

Christoph Dankert, Richard Cleve, Joseph Emerson +1

We develop the concept of a unitary t-design as a means of expressing operationally useful subsets of the stochastic properties of the uniform (Haar) measure on the unitary group U…

gr-qc2006★ 57 cited

Towards the graviton from spinfoams: higher order corrections in the 3d toy model

Etera R. Livine, Simone Speziale, Joshua L. Willis

We consider the recent calculation gr-qc/0508124 of the graviton propagator in the spinfoam formalism. Within the 3d toy model introduced in gr-qc/0512102, we test how the spinfoam…