Results 31 to 40 of about 96,976 (305)
Quantum cohomology of the odd symplectic Grassmannian of lines [PDF]
, 2013 Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of lines.
Pech, Clelia
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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
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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
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Geometry of Quantum Statistical Inference [PDF]
Physical Review Letters, 1996 Summary: An efficient geometric formulation of the problem of parameter estimation is developed, based on Hilbert space geometry. This theory, which allows for a transparent transition between classical and quantum statistical inference, is then applied to the analysis of exponential families of distributions (of relevance to statistical mechanics) and
Brody, DC, Hughston, LP
openaire +5 more sources
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
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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
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The Baum-Connes conjecture for free orthogonal quantum groups [PDF]
, 2011 We prove an analogue of the Baum–Connes conjecture for free orthogonal quantum groups. More precisely, we show that these quantum groups have a γ-element and that γ=1. It follows that free orthogonal quantum groups are K-amenable.
Voigt, C. +2 more
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Quantum SU(2) and the Baum-Connes conjecture [PDF]
, 2012 We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group $ SU_q(2) $ of Woronowicz. As an illustration of this result we determine the $ K $-groups of quantum automorphism groups of simple matrix ...
Voigt, Christian
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Using the quantum probability ranking principle to rank interdependent documents [PDF]
, 2010 A known limitation of the Probability Ranking Principle (PRP) is that it does not cater for dependence between documents. Recently, the Quantum Probability Ranking Principle (QPRP) has been proposed, which implicitly captures dependencies between ...
Azzopardi, L. +5 more
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How to differentiate a quantum stochastic cocycle. [PDF]
, 2010 Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin +2 more
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