Results 11 to 20 of about 60,982 (263)
We derive accessible upper and lower bounds for continuous-variable (CV) quantum states on quantum mutual information. The derivations are based on the observation that some functions of purities bound the difference between quantum mutual information of
Jiyong Park
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Classical Lower Bounds from Quantum Upper Bounds [PDF]
46 pages; to appear at FOCS ...
Shalev Ben-David +3 more
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In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
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Ritz eigenvalues only provide upper bounds for the energy levels, while obtaining lower bounds requires at least the calculation of the variances associated with these eigenvalues. The well-known Weinstein and Temple lower bounds based on the eigenvalues
Miklos Ronto +2 more
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Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks
The distance centric parameter in the theory of networks called by metric dimension plays a vital role in encountering the distance-related problems for the monitoring of the large-scale networks in the various fields of chemistry and computer science ...
Muhammad Javaid +5 more
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Tail Bounds for the Wiener Index of Random Trees [PDF]
Upper and lower bounds for the tail probabilities of the Wiener index of random binary search trees are given. For upper bounds the moment generating function of the vector of Wiener index and internal path length is estimated.
Tämur Ali Khan, Ralph Neininger
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Improving bounds on packing densities of 4-point permutations [PDF]
We consolidate what is currently known about packing densities of 4-point permutations and in the process improve the lower bounds for the packing densities of 1324 and 1342.
Jakub Sliacan, Walter Stromquist
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Lower and upper bounds on independent double Roman domination in trees
For a graph G = (V, E), a double Roman dominating function (DRDF) f : V → {0, 1, 2, 3} has the property that for every vertex v ∈ V with f(v)=0, either there exists a neighbor u ∈ N(v), with f(u)=3, or at least two neighbors x, y ∈ N(v) having f(x)=f(y ...
M. Kheibari +3 more
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Lower and Upper Bounds for Nef Cones [PDF]
25 pages, 4 figures.
Gibney, Angela, Maclagan, Diane
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Method of intermediate problems in the theory of Gaussian quantum dots placed in a magnetic field
Applicability of the method of intermediate problems to the investigation of the energy eigenvalues and eigenstates of a quantum dot (QD) formed by a Gaussian confining potential in the presence of an external magnetic field is discussed. Being smooth at
A.V.Soldatov +2 more
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