von Neumann's entropy
Von Neumann entropy and majorization
... Shannon entropy for two probability distributions which stand in the relationship of ...has S(Φ(ρ)) = S(ρ) for all quantum states ρ if and only if there exists an isometric operator V such that Φ(ρ) ...
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The von Neumann Theil index : characterizing graph centralization using the von Neumann index
... the von Neumann index may be interpreted as a measure of network ...the von Neumann index of a graph is linearly related to the Shannon entropy of the graph’s ...the von ...
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Research on Centralities Based on von Neumann Entropy for Nodes and Motifs
... = S G − S G v ...the von Neumann entropy centrality performs its all-round property and is able to combine the results of C B and C D and give out a more reasonable and complete result ...
5
Symmetric Laplacians, quantum density matrices and their Von Neumann entropy
... Remark 1. Theorem 4 contrasts sharply with the result that was established in [7] for combinatorial Laplacians. In particular, that work demonstrated that the star graph’s combinatorial Laplacian achieves minimum R´ ...
11
A novel entropy-based graph signature from the average mixing matrix
... the von Neumann entropy more efficient, Han et ...Shannon entropy of the Laplacian ...quadratic entropy reveals that it can be computed from a number of permutation invariant matrix ...
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A Physical Basis for the Second Law of Thermodynamics: Quantum Nonunitarity
... In view of the above, it is apparent that a physically real measurement transition naturally fixes the basis (i.e. provides the context justifying (6)) and thus yields the well-defined probabilistic behavior ...
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The Birkhoff-von Neumann Decomposition and its Applications.
... Birkhoff-von Neumann decomposition theorem which is a celebrated theorem applicable to a specific class of matrices, called doubly stochastic ...Birkhoff- von Neumann decomposition has many ...
30
On the Cauchy Problem for Von Neumann Landau Wave Equation
... On the other hand, the proof in the endpoint case follows from the theorem 1.2 in [6] and the lemma 1 in the present paper.. The Proof of Theorem.[r] ...
10
Randomization and Von Neumann function variance formula and a problem
... The fact that the estimated disturbances are related because their sum is zero is o f no importance unless n is small.[r] ...
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Randomisation and the Von Neumann Function: A Variance Formula and a Problem
... ’ In a paper of many years ago Geary 1952 what was termed the contiguity ratio was introduced, to determine whether, in probability, a statistical map has a pattern or whether the mapped[r] ...
8
A determinant inequality and log-majorisation for operators
... In 1912, Schmidt (working with Hilbert) initiated the study of the singular values of a compact operator acting on a separable Hilbert space. The notion of singular value in the context of semifinite von ...
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The Cryptographic Properties of Von Neumann Cellular Automata
... As a consequence, this work aims to study and classify the two-dimensional cellular au- tomata with Von Neumann neighborhoods according to its cryptographic use. Specifically, as local transition functions ...
14
On Spectral Compactness of Von Neumann Regular Rings
... • We say that a ring is an exp-ring if for each element a there exists n(a) ∈ Z + r {1} such that a n(a) = a. Every exp-ring is a von Neumann ring. In fact, for each a in the ring we can take b = a n(a)−2 , ...
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On pairs of automorphisms of von Neumann algebras
... + -I =+8 -I In this paper we prove a general decomposition theorem in the non-commuting situation as compared to the usual commuting case see references and prove that there exists a cen[r] ...
6
A Tamper and Leakage Resilient von Neumann Architecture
... generated during the pre-processing, or resulting from an evaluation of CPU hb on partially secret inputs); (ii) the backup storage BP that B maintains on the hybrid disk D hb that stores a copy of all values that are ...
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SECURE ROUTING IN MANET USING ASYMMETRIC GRAPHS
... problem, von Neumann (Von Neuman), Taylor (Taylor) [4] , pointed out that near the blast wave field pressure decayed at 1/r 3 (r is the distance away from the fried-point); far away blast wave field, ...
6
The Inefficiency of the Von Neumann Ratio in Time Series Regression
... 2 This is to be expected since the larger p3X3 is, the less ~the relative influence of ut in the residual vt, given by I0~ which tends to assume functional form with a necessarily small [r] ...
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On the Diagonals of Projections in Matrix Algebras Over Von Neumann Algebras
... The main focus of this dissertation is on exploring methods to characterize the diagonals of projections in matrix algebras over von Neumann algebras. This may be viewed as a non-commutative version of the ...
76
Conservative finite difference schemes for the chiral nonlinear Schrödinger equation
... discrete analog of the conserved quantity (). The scheme is of second order accuracy in time and space, it is unconditionally stable according to von Neumann stability analysis. In order to start the ...
14
On n flat modules and n Von Neumann regular rings
... n-von Neumann regular rings and a characterization of weak n-von Neumann regular rings for (CH)-rings and for local ...n-von Neumann regular ring is a ...
6