103 citations · 658 across the 29 of their papers we have counts for
29 papers
Some properties and applications of the new quantum -divergences
Salman Beigi, Christoph Hirche, Marco Tomamichel
Recently, a new definition for quantum -divergences was introduced based on an integral representation. These divergences have shown remarkable properties, for example when inve…
Quantum Rényi and -divergences from integral representations
Christoph Hirche, Marco Tomamichel
Smooth Csiszár -divergences can be expressed as integrals over so-called hockey stick divergences. This motivates a natural quantum generalization in terms of quantum Hockey sti…
Chain Rules for Renyi Information Combining
Christoph Hirche, Xinyue Guan, Marco Tomamichel
Bounds on information combining are a fundamental tool in coding theory, in particular when analyzing polar codes and belief propagation. They usually bound the evolution of random…
Sequential Quantum Channel Discrimination
Yonglong Li, Christoph Hirche, Marco Tomamichel
We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. In this setting the number of uses of the underlying quantum channel i…
Ultimate limits for quickest quantum change-point detection
Marco Fanizza, Christoph Hirche, John Calsamiglia
Detecting abrupt changes in data streams is crucial because they are often triggered by events that have important consequences if left unattended. Quickest change point detection…
Bounding quantum capacities via partial orders and complementarity
Christoph Hirche, Felix Leditzky
Quantum capacities are fundamental quantities that are notoriously hard to compute and can exhibit surprising properties such as superadditivity. Thus, a vast amount of literature…
Quantum Differential Privacy: An Information Theory Perspective
Christoph Hirche, Cambyse Rouzé, Daniel Stilck França
Differential privacy has been an exceptionally successful concept when it comes to providing provable security guarantees for classical computations. More recently, the concept was…
Quantum Network Discrimination
Christoph Hirche
Discrimination between objects, in particular quantum states, is one of the most fundamental tasks in (quantum) information theory. Recent years have seen significant progress towa…
Quantum Sequential Hypothesis Testing
Esteban Martínez-Vargas, Christoph Hirche, Gael Sentís +4
We introduce sequential analysis in quantum information processing, by focusing on the fundamental task of quantum hypothesis testing. In particular our goal is to discriminate bet…
On contraction coefficients, partial orders and approximation of capacities for quantum channels
Christoph Hirche, Cambyse Rouzé, Daniel Stilck França
The data processing inequality is the most basic requirement for any meaningful measure of information. It essentially states that distinguishability measures between states decrea…
Rényi Bounds on Information Combining
Christoph Hirche
Bounds on information combining are entropic inequalities that determine how the information, or entropy, of a set of random variables can change when they are combined in certain…
Discrimination and estimation of incoherent sources under misalignment
J. O. de Almeida, J. Kołodyński, C. Hirche +2
Spatially resolving two incoherent point sources whose separation is well below the diffraction limit dictated by classical optics has recently been shown possible using techniques…
From asymptotic hypothesis testing to entropy inequalities
Christoph Hirche
This thesis addresses the interplay between asymptotic hypothesis testing and entropy inequalities in quantum information theory. In the first part of the thesis we focus on hypoth…
Convexity and Operational Interpretation of the Quantum Information Bottleneck Function
Nilanjana Datta, Christoph Hirche, Andreas Winter
In classical information theory, the information bottleneck method (IBM) can be regarded as a method of lossy data compression which focusses on preserving meaningful (or relevant)…
Amortized Channel Divergence for Asymptotic Quantum Channel Discrimination
Mark M. Wilde, Mario Berta, Christoph Hirche +1
It is well known that for the discrimination of classical and quantum channels in the finite, non-asymptotic regime, adaptive strategies can give an advantage over non-adaptive str…
On Composite Quantum Hypothesis Testing
Mario Berta, Fernando G. S. L. Brandao, Christoph Hirche
We extend quantum Stein's lemma in asymmetric quantum hypothesis testing to composite null and alternative hypotheses. As our main result, we show that the asymptotic error exponen…
Bounds on Information Combining With Quantum Side Information
Christoph Hirche, David Reeb
"Bounds on information combining" are entropic inequalities that determine how the information (entropy) of a set of random variables can change when these are combined in certain…
Convolutional Polar Codes
Andrew James Ferris, Christoph Hirche, David Poulin
Arikan's Polar codes attracted much attention as the first efficiently decodable and capacity achieving codes. Furthermore, Polar codes exhibit an exponentially decreasing block er…
From log-determinant inequalities to Gaussian entanglement via recoverability theory
Ludovico Lami, Christoph Hirche, Gerardo Adesso +1
Many determinantal inequalities for positive definite block matrices are consequences of general entropy inequalities, specialised to Gaussian distributed vectors with prescribed c…
Discrimination power of a quantum detector
Christoph Hirche, Masahito Hayashi, Emilio Bagan +1
We investigate the ability of a quantum measurement device to discriminate two states or, generically, two hypothesis. In full generality, the measurement can be performed a number…
Efficient unitary designs with nearly time-independent Hamiltonian dynamics
Yoshifumi Nakata, Christoph Hirche, Masato Koashi +1
We provide new constructions of unitary -designs for general on one qudit and qubits, and propose a design Hamiltonian, a random Hamiltonian of which dynamics always for…
Schur complement inequalities for covariance matrices and monogamy of quantum correlations
Ludovico Lami, Christoph Hirche, Gerardo Adesso +1
We derive fundamental constraints for the Schur complement of positive matrices, which provide an operator strengthening to recently established information inequalities for quantu…
Operational meaning of quantum measures of recovery
Tom Cooney, Christoph Hirche, Ciara Morgan +4
Several information measures have recently been defined which capture the notion of "recoverability." In particular, the fidelity of recovery quantifies how well one can recover a…
Decoupling with random diagonal unitaries
Yoshifumi Nakata, Christoph Hirche, Ciara Morgan +1
We investigate decoupling, one of the most important primitives in quantum Shannon theory, by replacing the uniformly distributed random unitaries commonly used to achieve the prot…