DOI10.1007/978-3-540-74636-2zbMath1145.81002OpenAlexW1482224246MaRDI QIDQ2464372
Dénes Petz
Publication date: 19 December 2007
Published in: Theoretical and Mathematical Physics (Cham) (Search for Journal in Brave)
Full work available at URL: http://cds.cern.ch/record/1101067
The quantum ♮α-Rényi divergence of real order ⋮
Local additivity revisited ⋮
Quantum-state estimation problem via optimal design of experiments ⋮
Thermodynamic formalism for quantum channels: Entropy, pressure, Gibbs channels and generic properties ⋮
Markovian repeated interaction quantum systems ⋮
Telescopic Relative Entropy ⋮
A Quantum Information-Based Refoundation of Color Perception Concepts ⋮
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Nuisance parameter problem in quantum estimation theory: tradeoff relation and qubit examples ⋮
Higher-dimensional open quantum walk in environment of quantum Bernoulli noises ⋮
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A new matrix inequality involving partial traces ⋮
Inequalities for generalized matrix function and inner product ⋮
Matrix analysis and quantum information ⋮
Around Shannon's interpretation for entropy-preserving stochastic averages ⋮
Quantum skew divergence ⋮
Position-momentum uncertainty relations in the presence of quantum memory ⋮
Dynamical Maps and Symmetroids ⋮
Invariance of separability probability over reduced states in 4 × 4 bipartite systems ⋮
Equality cases in monotonicity of quasi-entropies, Lieb’s concavity and Ando’s convexity ⋮
Renormalized von Neumann entropy with application to entanglement in genuine infinite dimensional systems ⋮
Irreversibility, QNEC, and defects ⋮
Non-commutative disintegrations: existence and uniqueness in finite dimensions ⋮
Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮
Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty ⋮
Inequalities for partial determinants of accretive block matrices ⋮
Minimax estimation of low-rank quantum states and their linear functionals ⋮
Approach to equilibrium in translation-invariant quantum systems: some structural results ⋮
Partial trace inequalities for partial transpose of positive semidefinite block matrices ⋮
Inequalities for partial determinants of positive semidefinite block matrices ⋮
Preservation of a quantum Rényi relative entropy implies existence of a recovery map ⋮
Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence ⋮
The classification of multipartite quantum correlation ⋮
Inequalities regarding partial trace and partial determinant ⋮
Maximum and minimum entropy states yielding local continuity bounds ⋮
Inequalities related to partial trace and block Hadamard product ⋮
Detecting metrologically useful entanglement in the vicinity of Dicke states ⋮
A characterization of the Helmholtz free energy ⋮
ENTANGLED IDENTICAL PARTICLES AND NOISE ⋮
Matrix Monotone Functions and the Generalized Powers–Størmer Inequality ⋮
Schatten q-norms and determinantal inequalities for matrices with numerical ranges in a sector ⋮
Composite convex functions ⋮
DATA SET MODELS AND EXPONENTIAL FAMILIES IN STATISTICAL PHYSICS AND BEYOND ⋮
Quantum hypothesis testing with group symmetry ⋮
Markov property of Gaussian states of canonical commutation relation algebras ⋮
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Complementary decompositions and unextendible mutually unbiased bases ⋮
An extension of the Fiedler-Markham determinant inequality ⋮
Holographic Entanglement Entropy: A Topical Review ⋮
Dissipative quantum metrology in manybody systems of identical particles ⋮
Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms ⋮
Commutativity, comonotonicity, and Choquet integration of self-adjoint operators ⋮
Volume of the space of qubit-qubit channels and state transformations under random quantum channels ⋮
QUANTUM f-DIVERGENCES AND ERROR CORRECTION ⋮
FROM QUASI-ENTROPY TO SKEW INFORMATION ⋮
A CYCLE DECOMPOSITION AND ENTROPY PRODUCTION FOR CIRCULANT QUANTUM MARKOV SEMIGROUPS ⋮
Quantum Aitchison geometry ⋮
Quantum chi-squared and goodness of fit testing ⋮
Positive contraction mappings for classical and quantum Schrödinger systems ⋮
A statistical model of information evaporation of perfectly reflecting black holes ⋮
Parameter estimation of qubit states with unknown phase parameter ⋮
Restricted numerical range: A versatile tool in the theory of quantum information ⋮
Conditional expectation and Bayes’ rule for quantum random variables and positive operator valued measures ⋮
Inequalities on partial traces of positive semidefinite block matrices ⋮
Upper continuity bounds on the relative q-entropy for q > 1 ⋮
Interpolation functions and inequalities ⋮
Entropy distance: New quantum phenomena ⋮
Quantum state discrimination bounds for finite sample size ⋮
Quantum Fisher information matrix and multiparameter estimation ⋮
Constructions of locally distinguishable sets of maximally entangled states which require two-way LOCC ⋮
Sufficient statistic and Rao–Blackwell theorem in quantum probability ⋮
Partial determinant inequalities for positive semidefinite block matrices ⋮
Fermionic systems for quantum information people ⋮
Lyapunov Exponents for Quantum Channels: An Entropy Formula and Generic Properties ⋮
Spectral order automorphisms on Hilbert space effects and observables: the 2-dimensional case ⋮
A generalization of Araki's log-majorization ⋮
Quantum Gibbs samplers: the commuting case ⋮
On one-loop entanglement entropy of two short intervals from OPE of twist operators ⋮
Holographic entanglement entropy for a large class of states in 2D CFT ⋮
Holographic Rényi entropy for two-dimensional \( \mathcal{N}=\left(1,\;1\right) \) superconformal field theory ⋮
Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints ⋮
Information geometry of operator scaling ⋮
Exponential arcs in the manifold of vector states on a \(\sigma\)-finite von Neumann algebra ⋮
Maps on density operators preserving quantum \(f\)-divergences ⋮
Inequalities related to trace and determinant of positive semidefinite block matrices ⋮
Score operators of a qubit with applications ⋮
Bounds of the Pinsker and Fannes types on the Tsallis relative entropy ⋮
Some applications of two completely copositive maps ⋮
Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics ⋮
On \(\varphi \)-families of probability distributions ⋮
The von Neumann entropy of random multipartite graphs ⋮
Continuity and stability of partial entropic sums ⋮
Site recurrence of open and unitary quantum walks on the line ⋮
Quantum local asymptotic normality based on a new quantum likelihood ratio ⋮
On entropy production of repeated quantum measurements. I. General theory ⋮
Complementarity and state estimation ⋮
On variational expressions for quantum relative entropies ⋮
On generalized Powers-Størmer's inequality ⋮
Entanglement accessibility measures for the quantum Internet ⋮
Triplet \(q\)-cat states of the Biedenharn-MacFarlane \(q\)-oscillator with \(q > 1\) ⋮
Optimal uniform continuity bound for conditional entropy of classical-quantum states ⋮
Entanglement concentration service for the quantum Internet ⋮
Quantum \(\alpha\)-fidelity of unitary orbits ⋮
Dynamics of quantum Fisher information in the two-qubit systems constructed from the Yang-Baxter matrices ⋮
The Hasegawa-Petz mean: properties and inequalities ⋮
Relative entropy and the RG flow ⋮
Bipartite entanglement in systems of identical particles: the partial transposition criterion ⋮
Quantum statistical manifold: the linear growth case ⋮
A generalized quantum relative entropy ⋮
Decoherence dynamics estimation for superconducting gate-model quantum computers ⋮
Strongly subadditive functions ⋮
GHZ states as near-optimal states for reference frame alignment ⋮
Transformed statistical distance measures and the Fisher information matrix ⋮
Some general properties of unified entropies ⋮
Multipartite rational functions ⋮
Families of completely positive maps associated with monotone metrics ⋮
On limiting distributions of quantum Markov chains ⋮
Partial subadditivity of entropies ⋮
Superactivation of quantum channels is limited by the quantum relative entropy function ⋮
A quantization procedure based on completely positive maps and Markov operators ⋮
Maximal entanglement of two-qubit states constructed by linearly independent coherent states ⋮
Kinetic functional of interacting electrons: a numerical procedure and its statistical interpretation ⋮
Efficient quantum tomography needs complementary and symmetric measurements ⋮
An approximate quantum Cramér-Rao bound based on skew information ⋮
The Collatz-Wielandt quotient for pairs of nonnegative operators. ⋮
Some properties of the \(k\)th-partial Rényi entropy ⋮
Generalized entanglement entropy, charges, and intertwiners ⋮
A five-dimensional Riemannian manifold with an irreducible \(\mathrm{SO}(3)\)-structure as a model of abstract statistical manifold ⋮
Minimal resources identifiability and estimation of quantum channels ⋮
Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure ⋮
Entanglement at a scale and renormalization monotones ⋮
Adaptive routing for quantum memory failures in the quantum Internet ⋮
Entanglement access control for the quantum Internet ⋮
Thermalization and canonical typicality in translation-invariant quantum lattice systems ⋮
Post-processing optimization for continuous-variable quantum key distribution ⋮
Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory ⋮
Geometrical analysis of physically allowed quantum cloning transformations for quantum cryptography ⋮
Generation and entanglement of multi-dimensional multi-mode coherent fields in cavity QED ⋮
On the mutual information in conformal field theory ⋮
Quantum Fisher information matrix for unitary processes: closed relation for \(\operatorname{SU}(2)\) ⋮
Topology adaption for the quantum Internet ⋮
Multivariate trace inequalities ⋮
Entanglement and decoherence in two-dimensional coherent state superpositions ⋮
Output enhanced quantum correlations using a coherence-controlled atomic reservoir ⋮
Sub-shot-noise quantum metrology with entangled identical particles ⋮
Multiple access multicarrier continuous-variable quantum key distribution ⋮
Von Neumann entropy and majorization ⋮
Davies maps for qubits and qutrits ⋮
Singular value decomposition assisted multicarrier continuous-variable quantum key distribution ⋮
On quantum conditional entropies defined in terms of the \(F\)-divergences ⋮
Quantum convex support ⋮
Contraction coefficients for noisy quantum channels ⋮
Subcarrier domain of multicarrier continuous-variable quantum key distribution ⋮
Rényi mutual information in holographic warped CFTs ⋮
Entropic order parameters for the phases of QFT ⋮
Continuity of the maximum-entropy inference ⋮
Inequalities related to partial transpose and partial trace ⋮
Rényi entropy in AdS3/CFT2 ⋮
Multicarrier continuous-variable quantum key distribution ⋮
Riemannian metrics on positive definite matrices related to means ⋮
Probabilistic refinement of the asymptotic spectrum of graphs ⋮
A treatment of a determinant inequality of Fiedler and Markham ⋮
Approximate tensorization of the relative entropy for noncommuting conditional expectations ⋮
Entanglement in (4 + 1)-D-Dirac-type lattice model time-reversal-invariant ⋮
Extensions of some matrix inequalities related to trace and partial traces ⋮
Quantum Rényi relative entropies on density spaces of \(C^\ast\)-algebras: their symmetries and their essential difference ⋮
Generalizations of Pauli channels ⋮
Proof of the universal density of charged states in QFT ⋮
Real-space RG, error correction and Petz map ⋮
A formulation of Rényi entropy on \(C^\ast\)-algebras ⋮
A Poisson model for entanglement optimization in the quantum Internet ⋮
On a class of quantum channels, open random walks and recurrence ⋮
State stabilization for gate-model quantum computers ⋮
Dynamical maps beyond Markovian regime
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