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Quantum relative entropy

Entropic Updating of Probability and Density Matrices

Entropic Updating of Probability and Density Matrices

... be found using our quantum relative entropy with a suitable uniform prior density matrix.. 27.[r] ...

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Analysis of Negativity and Relative Entropy of Entanglement Measures for Two Qutrit Quantum Communication Systems

Analysis of Negativity and Relative Entropy of Entanglement Measures for Two Qutrit Quantum Communication Systems

... Relative Entropy of Entanglement (REE) is a measure based on the distance of the state to the closest separable ...the quantum relative entropy S(ρ||σ) = Tr(ρ logρ – ρ logσ) taken over ...

6

An information-theoretic treatment of quantum dichotomies

An information-theoretic treatment of quantum dichotomies

... of quantum states, we want to decide if there exists a quan- tum channel that transforms one pair into the ...of quantum statistical comparison and quantum relative majorization provides ...

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The von Neumann Theil index : characterizing graph centralization using the von Neumann index

The von Neumann Theil index : characterizing graph centralization using the von Neumann index

... Shannon entropy of the graph’s ...the entropy over connected graphs. Other studies of the von Neuamnn entropy of Laplacians have been performed in [11, 12, 13, 14, 15, ...the quantum ...

17

Antineutrino Star Model of the Big Bang and Dark Energy

Antineutrino Star Model of the Big Bang and Dark Energy

... encounter a state of high energy density commonly associated with the big bang. The origin of this state is an open question of cosmogony (Khoury et al. 2001) and may motivate a big bounce (Brandenberger and Peter 2017). ...

12

The Dynamical Entropy

The Dynamical Entropy

... of entropy practically cover all known types, although with each of the existing definitions of entropy has its field of ...the entropy changes over time in the evolution of systems in accordance ...

7

Selfcomplementary quantum channels

Selfcomplementary quantum channels

... the quantum channel capacities are similar, these two notions differ in several ...its quantum capacity is equal to zero, as there does not exist even a two-dimensional Hilbert subspace which survives the ...

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Enhancing Extractable Quantum Entropy in Vacuum-Based Quantum Random Number Generator

Enhancing Extractable Quantum Entropy in Vacuum-Based Quantum Random Number Generator

... increase entropy in raw data [21], and optimization of ADC parameters to improve the quantum entropy in the raw data ...enhancing quantum entropy in the vacuum-based quantum RNG ...

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Entropy considerations in the noncommutative setting

Entropy considerations in the noncommutative setting

... maximum entropy is well known and widely used in the construction of mathematical ...maximum entropy distributions (and/or their mixtures) should be tested ...maximum entropy distributions should be ...

13

Continuous Controller Design for Quantum Shannon Entropy

Continuous Controller Design for Quantum Shannon Entropy

... Shannon entropy takes its maximum value ln n ...the entropy takes its minimum value 0. We can also regard the entropy as the superposition of the uncertainties ...

11

Improving Relative Entropy Pruning using Statistical Significance

Improving Relative Entropy Pruning using Statistical Significance

... Pruning is one approach to address this problem, where models are made more compact by discarding entries from the model, based on additional selection criteria. The challenge in this task is to choose the entries that ...

10

One Parameter Family of N Qudit Werner Popescu States: Bipartite Separability Using Conditional Quantum Relative Tsallis Entropy

One Parameter Family of N Qudit Werner Popescu States: Bipartite Separability Using Conditional Quantum Relative Tsallis Entropy

... Werner-Popescu state is found to be the reason behind the matching of the 1: N − 1 separability ranges due to commutative AR-criterion and non-commutative CSTRE criterion. The relatively smoother convergence of the ...

12

Varying Newton constant and black hole to white hole quantum tunneling

Varying Newton constant and black hole to white hole quantum tunneling

... law it follows that the dimensionless quantity M 2 /K is the adiabatic invariant, which in principle can be quantized if to follow the Bekenstein conjecture. From the Euclidean action for the black hole it follows that K ...

7

Functional version for Furuta parametric relative operator entropy

Functional version for Furuta parametric relative operator entropy

... Functional version for the so-called Furuta parametric relative operator entropy is here investigated. Some related functional inequalities are also discussed. The theoretical results obtained by our ...

10

Eternal life of entropy in non-Hermitian quantum systems

Eternal life of entropy in non-Hermitian quantum systems

... a quantum system is of great importance for various practical implementations of quantum mechanics, most importantly for the development of quantum computers ...the quantum information, one ...

8

Bounds for Kullback-Leibler divergence

Bounds for Kullback-Leibler divergence

... Furthermore we present new bounds for entropy and mutual information. Corollary 3.5. Let X be a random variable whose range has |X | elements and has the probability mass function p(x) > 0, with m(x) = ...

6

A maximum entropy perspective of Pena’s synthetic indicators

A maximum entropy perspective of Pena’s synthetic indicators

... of Entropy: For the investigation at hand, we have chosen a few general measures of entropy such as Rényi, Tsallis, Abe, Kaniadakis and Sharma-Mittal ...

10

Estimating the number of components of a multicomponent nonstationary signal using the short-term time-frequency Rényi entropy

Estimating the number of components of a multicomponent nonstationary signal using the short-term time-frequency Rényi entropy

... Rényi entropy of signals in the time-frequency plane. Using the Rényi entropy of a short-term segment of a TFD of a multicomponent nonstationary signal, relative to the short-term Rényi ...

11

THE ENTROPIC ANALYSIS OF ELECTORAL RESULTS: THE CASE OF EUROPEAN COUNTRIES

THE ENTROPIC ANALYSIS OF ELECTORAL RESULTS: THE CASE OF EUROPEAN COUNTRIES

... maximum value (HM ) - HR = H/HM.The criterion used to choose the number of categories in each country is related with the number of parties most voted, in the fi rst considered election. The objective was that, at the ...

20

Boundary Relative Entropy as Quasilocal Energy: Positive Energy Theorems and Tomography

Boundary Relative Entropy as Quasilocal Energy: Positive Energy Theorems and Tomography

... Because relative entropy obeys certain universal properties, this apparently innocuous statement turns out to have some significant consequences in the bulk, in that it imposes constraints that any geometry ...

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