Results 61 to 70 of about 11,677 (195)

Rényi entropy with surface defects in six dimensions

open access: yesJournal of High Energy Physics
We compute the surface defect contribution to Rényi entropy and supersymmetric Rényi entropy in six dimensions. We first compute the surface defect contribution to Rényi entropy for free fields, which verifies a previous formula about entanglement ...
Ma-Ke Yuan, Yang Zhou
doaj   +1 more source

Rényi entanglement entropy of Fermi and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories

open access: yesPhysical Review Research, 2020
We present a method for calculating Rényi entanglement entropies for fermionic field theories originating from microscopic Hamiltonians. The method builds on an operator identity, which leads to the representation of traces of operator products, and thus
Arijit Haldar   +2 more
doaj   +1 more source

Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one

open access: yes, 2002
Gnutzmann and Zyczkowski have proposed the Renyi-Wehrl entropy as a generalization of the Wehrl entropy, and conjectured that its minimum is obtained for coherent states. We prove this conjecture for the Renyi index q=2,3,...
Ayumu Sugita   +7 more
core   +1 more source

alpha-z-relative Renyi entropies

open access: yes, 2013
We consider a two-parameter family of R nyi relative entropies $D_{ ,z}( || )$ that are quantum generalisations of the classical R nyi divergence $D_ (p||q)$. This family includes many known relative entropies (or divergences) such as the quantum relative entropy, the recently defined quantum R nyi divergences, as well as the quantum R nyi ...
Audenaert, Koenraad M. R.   +1 more
openaire   +2 more sources

On Metric Choice in Dimension Reduction for Fréchet Regression

open access: yesInternational Statistical Review, EarlyView.
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale   +3 more
wiley   +1 more source

In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies

open access: yesRandom Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook   +2 more
wiley   +1 more source

Entanglement at a Two-Dimensional Quantum Critical Point: a Numerical Linked Cluster Expansion Study

open access: yes, 2013
We develop a method to calculate the bipartite entanglement entropy of quantum models, in the thermodynamic limit, using a Numerical Linked Cluster Expansion (NLCE) involving only rectangular clusters.
Hyatt, Katharine   +3 more
core   +1 more source

Heights of Butterfly Trees

open access: yesRandom Structures &Algorithms, Volume 68, Issue 3, May 2026.
ABSTRACT Binary search trees (BSTs) are fundamental data structures whose performance is largely governed by tree height. We introduce a block model for constructing BSTs by embedding internal BSTs into the nodes of an external BST—a structure motivated by parallel data architectures—corresponding to composite permutations formed via Kronecker or ...
John Peca‐Medlin, Chenyang Zhong
wiley   +1 more source

RTransferEntropy — Quantifying information flow between different time series using effective transfer entropy

open access: yesSoftwareX, 2019
This paper shows how to quantify and test for the information flow between two time series with Shannon transfer entropy and Rényi transfer entropy using the R package RTransferEntropy. We discuss the methodology, the bias correction applied to calculate
Simon Behrendt   +3 more
doaj   +1 more source

On Renyi entropy for free conformal fields: holographic and q-analog recipes

open access: yes, 2014
We describe a holographic approach to explicitly compute the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres.
Aros, R., Bugini, F., Diaz, D. E.
core   +1 more source

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