Results 51 to 60 of about 11,677 (195)
On Tight Tree‐Complete Hypergraph Ramsey Numbers
Journal of Graph Theory, EarlyView.ABSTRACT Chvátal showed that for any tree T $T$ with k $k$ edges, the Ramsey number R ( T , n ) = k ( n − 1 ) + 1 $R(T,n)=k(n-1)+1$. For r = 3 $r=3$ or 4, we show that, if T $T$ is an r $r$‐uniform nontrivial tight tree, then the hypergraph Ramsey number R ( T , n ) = Θ ( n r − 1 ) $R(T,n)={\rm{\Theta }}({n}^{r-1})$.
Jiaxi Nie
wiley +1 more source
Properties, Bounds, and Estimation of Rényi Entropy in Consecutive k-out-of-n:G Systems
Journal of MathematicsThis study investigates the Renyi entropy properties of consecutive k-out-of-n:G systems. Initially, a formula for the Renyi entropy of the lifetime of a consecutive k-out-of-n:G system is derived, offering a thorough insight into its Renyi entropy ...
Mansour Shrahili
doaj +1 more source
Limitations on Dimensional Regularization in Renyi Entropy [PDF]
, 2016 Dimensional regularization is a common method used to regulate the UV divergence of field theoretic quantities. When it is used in the context of Renyi entropy, however, it is important to consider whether such a procedure eliminates the statistical ...
Bao, Ning, He, Temple
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Renyi entropy of highly entangled spin chains
, 2018 Entanglement is one of the most intriguing features of quantum theory and a main resource in quantum information science. Ground states of quantum many-body systems with local interactions typically obey an "area law" meaning the entanglement entropy ...
Korepin, Vladimir, Sugino, Fumihiko
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Nonlinear Inequalities and Entropy-Concurrence Plane [PDF]
, 2006 Nonlinear inequalities based on the quadratic Renyi entropy for mixed two-qubit states are characterized on the Entropy-Concurrence plane. This class of inequalities is stronger than Clauser-Horne-Shimony-Holt (CHSH) inequalities and, in particular, are ...
A. Aspect +25 more
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A Renyi Entropy Convolution Inequality With Application
, 2002 Publication in the conference proceedings of EUSIPCO, Toulouse, France ...
Vignat, Christophe +1 more
openaire +2 more sources
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
Logarithmic singularities of Renyi entropy as a sign of chaos?
Journal of High Energy PhysicsWe propose that the logarithmic singularities of the Renyi entropy of local-operator-excited states for replica index n can be a sign of quantum chaos.
Norihiro Iizuka, Mitsuhiro Nishida
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Entanglement of Local Operators in large N CFTs
, 2014 We study Renyi and von-Neumann entanglement entropy of excited states created by local operators in large N (or large central charge) CFTs. First we point that a naive large N expansion can break down for the von-Neumann entanglement entropy, while it ...
Caputa, Pawel +2 more
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Papillary Thyroid Carcinoma (PTC) is the most prevalent thyroid malignancy, and accurate lesion segmentation is essential for clinical diagnosis and treatment planning. Metaheuristic optimisation algorithms have been widely used in Multi‐Threshold Image Segmentation (MTIS), but many existing methods suffer from an imbalance between global ...
Jing Ruan +14 more
wiley +1 more source