Results 61 to 70 of about 492,681 (274)
Monotonicity of a relative Rényi entropy [PDF]
Journal of Mathematical Physics, 2013 We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al. [“On quantum Rényi entropies: A new definition, some properties,” J. Math. Phys. 54, 122203 (2013); e-print arXiv:1306.3142v1; see also e-print arXiv:1306.3142].
Frank, Rupert L., Lieb, Elliott H.
openaire +4 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Wilms tumor (WT) treatment imposes a significant time burden on patients and their families. Time toxicity is a patient‐centered metric that quantifies the burden of healthcare interaction. We sought to define time toxicity in the first year after diagnosis of WT and hypothesized that it would increase as tumor stage and treatment ...
Caleb Q. Ashbrook +6 more
wiley +1 more source
Relative Entropy and Inductive Inference
, 2003 We discuss how the method of maximum entropy, MaxEnt, can be extended beyond its original scope, as a rule to assign a probability distribution, to a full-fledged method for inductive inference.
Caticha, Ariel
core +1 more source
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
wiley +1 more source
Versatile relative entropy bounds for quantum networks
New Journal of Physics, 2018 We provide a versatile upper bound on the number of maximally entangled qubits, or private bits, shared by two parties via a generic adaptive communication protocol over a quantum network when the use of classical communication is not restricted ...
Luca Rigovacca +5 more
doaj +1 more source
Measuring quantum relative entropy with finite-size effect [PDF]
QuantumWe study the estimation of relative entropy $D(\rho\|\sigma)$ when $\sigma$ is known. We show that the Cramér-Rao type bound equals the relative varentropy. Our estimator attains the Cramér-Rao type bound when the dimension $d$ is fixed. It also achieves
Masahito Hayashi
doaj +1 more source
Relative entropy in higher spin holography
, 2014 We examine relative entropy in the context of the higher-spin/CFT duality. We consider 3$d$ bulk configurations in higher spin gravity which are dual to the vacuum and a high temperature state of a CFT with $\mathcal{W}$-algebra symmetries in presence of
Datta, Shouvik
core +1 more source
Uhlmann’s Theorem for Relative Entropies
IEEE Transactions on Information TheoryUhlmann's theorem states that, for any two quantum states $ρ_{AB}$ and $σ_A$, there exists an extension $σ_{AB}$ of $σ_A$ such that the fidelity between $ρ_{AB}$ and $σ_{AB}$ equals the fidelity between their reduced states $ρ_A$ and $σ_A$. In this work, we generalize Uhlmann's theorem to $α$-Rényi relative entropies for $α\in [\frac{1}{2},\infty]$, a ...
Giulia Mazzola +2 more
openaire +2 more sources
Relative entropy as a measure of inhomogeneity in general relativity [PDF]
Journal of Mathematical Physics, 2012 We introduce the notion of relative volume entropy for two spacetimes with preferred compact spacelike foliations. This is accomplished by applying the notion of Kullback-Leibler divergence to the volume elements induced on spacelike slices. The resulting quantity gives a lower bound on the number of bits which are necessary to describe one metric ...
Akerblom, N., Cornelissen, G.L.M.
openaire +4 more sources
Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
FEBS Letters, EarlyView.Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source