Results 41 to 50 of about 10,181 (161)
Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
, 2018 The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a ...
Costa, Ana C. S. +2 more
core +1 more source
Generalizations of Fano's Inequality for Conditional Information Measures via Majorization Theory
, 2020 Fano's inequality is one of the most elementary, ubiquitous, and important tools in information theory. Using majorization theory, Fano's inequality is generalized to a broad class of information measures, which contains those of Shannon and R\'{e}nyi ...
Sakai, Yuta
core +1 more source
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
Rényi entropy at large energy density in 2D CFT
Journal of High Energy Physics, 2019 We investigate the Rényi entropy and entanglement entropy of an interval with an arbitrary length in the canonical ensemble, microcanonical ensemble and primary excited states at large energy density in the thermodynamic limit of a two-dimensional large ...
Wu-zhong Guo, Feng-Li Lin, Jiaju Zhang
doaj +1 more source
Entropic trade-off relations for quantum operations
, 2013 Spectral properties of an arbitrary matrix can be characterized by the entropy of its rescaled singular values. Any quantum operation can be described by the associated dynamical matrix or by the corresponding superoperator.
C. Beck +11 more
core +1 more source
New Entropy Formula with Fluctuating Reservoir [PDF]
, 2014 Finite heat reservoir capacity and temperature fluctuations lead to modification of the well known canonical exponential weight factor. Requiring that the corrections least depend on the one-particle energy, we derive a deformed entropy, K(S).
Barnafoldi, G. G., Biro, T. S., Van, P.
core +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
doaj +1 more source
Entropy, 2021 Among various modifications of the permutation entropy defined as the Shannon entropy of the ordinal pattern distribution underlying a system, a variant based on Rényi entropies was considered in a few papers.
Tim Gutjahr, Karsten Keller
doaj +1 more source