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Quantum Simulation
Entanglement Theory Quantum Correlations
Smooth Perturbations to Rényi Entropy
DOAJ
Authors: Andrew Buchanan
Year
2025
Paper ID
30370
Status
Peer-reviewed
Abstract Read
~2 min
Abstract Words
106
Citations
N/A
Abstract
Abstract A method is presented for computing the Rényi entropy of a perturbed massless vacuum on the ball via a comparison with lattice field theory. If the perturbed state is Gaussian with smoothly varying correlation functions and the perturbation parameter has units of energy, I show the coefficients for Rényi entropy are analytically computable for all values of the Rényi parameter α in odd dimensions and for integer α in even dimensions. I apply this procedure to compute coefficients for the large distant expansion for the Rényi mutual information of distant balls and the low temperature expansion for the entropy of a thermal field.
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- Abstract A method is presented for computing the Rényi entropy of a perturbed massless vacuum on the ball via a comparison with lattice field theory.
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