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The Wigner-Yanase skew information was proposed to quantify the information contained in quantum states with respect to a conserved additive quantity, and it was later extended to the Wigner-Yanase-Dyson skew informations. Recently, the…

量子物理 · 物理学 2019-10-11 Ryuji Takagi

Quantifying coherence is a key task in both quantum mechanical theory and practical applications. Here, a reliable quantum coherence measure is presented by utilizing the quantum skew information of the state of interest subject to a…

量子物理 · 物理学 2017-05-03 Chang-shui Yu

Metric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry. However, its asymptotic rates are not valid asymmetry monotone since it has an…

量子物理 · 物理学 2023-05-24 Koji Yamaguchi , Hiroyasu Tajima

We introduce and analyse the problem of encoding classical information into different resources of a quantum state. More precisely, we consider a general class of communication scenarios characterised by encoding operations that commute…

量子物理 · 物理学 2022-08-08 Kamil Korzekwa , Zbigniew Puchała , Marco Tomamichel , Karol Życzkowski

Resource identification and quantification is an essential element of both classical and quantum information theory. Entanglement is one of these resources, arising when quantum communication and nonlocal operations are expensive to…

量子物理 · 物理学 2013-03-20 Sebastian Meznaric

This paper gives an overview about particular quasi-entropies, generalized quantum covariances, quantum Fisher informations, skew-informations and their relations. The point is the dependence on operator monotone functions. It is proven…

泛函分析 · 数学 2007-12-19 Denes Petz , V. E. Sandor Szabo

Quantifying how much a quantum state breaks a symmetry is essential for characterizing phases, nonequilibrium dynamics, and open-system behavior. Quantum resource theory provides a rigorous operational framework to define and characterize…

高能物理 - 理论 · 物理学 2026-04-07 Yuya Kusuki , Sridip Pal , Hiroyasu Tajima

We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources, i.e., sources that emit one of two possible quantum states with given prior probabilities. Such a…

量子物理 · 物理学 2021-08-23 Robert Salzmann , Nilanjana Datta , Gilad Gour , Xin Wang , Mark M. Wilde

Skew information is a pivotal concept in quantum information, quantum measurement, and quantum metrology. Further studies have lead to the uncertainty relations grounded in metric-adjusted skew information. In this work, we present an…

量子物理 · 物理学 2023-08-01 Xiaoli Hu , Naihuan Jing

A fundamental approach for the characterization and quantification of all kinds of resources is to study the conversion between different resource objects under certain constraints. Here we analyze, from a resource-non-specific standpoint,…

量子物理 · 物理学 2019-07-11 Zi-Wen Liu , Kaifeng Bu , Ryuji Takagi

Resource theories are broad frameworks that capture how useful objects are in performing specific tasks. In this paper we devise a formal resource theory quantum measurements, focusing on the ability of a measurement to acquire information.…

量子物理 · 物理学 2021-05-03 Thomas Guff , Nathan A. McMahon , Yuval R. Sanders , Alexei Gilchrist

The diverse range of resources which underlie the utility of quantum states in practical tasks motivates the development of universally applicable methods to measure and compare resources of different types. However, many of such approaches…

量子物理 · 物理学 2021-03-19 Bartosz Regula , Ludovico Lami , Giovanni Ferrari , Ryuji Takagi

Resource theory is a widely-applicable framework for analyzing the physical resources required for given tasks, such as computation, communication, and energy extraction. In this paper, we propose a general scheme for analyzing resource…

量子物理 · 物理学 2017-02-16 Zi-Wen Liu , Xueyuan Hu , Seth Lloyd

We develop a resource theory for continuous-variable systems grounded on operations routinely available within current quantum technologies. In particular, the set of free operations is convex and includes quadratic transformations and…

量子物理 · 物理学 2018-12-05 Francesco Albarelli , Marco G. Genoni , Matteo G. A. Paris , Alessandro Ferraro

One of the main goals of any resource theory such as entanglement, quantum thermodynamics, quantum coherence, and asymmetry, is to find necessary and sufficient conditions (NSC) that determine whether one resource can be converted to…

量子物理 · 物理学 2017-06-14 Gilad Gour

We offer new methods for characterizing general closed and convex quantum resource theories, including dynamic ones, based on entropic concepts and operational tasks. We propose a resource-theoretic generalization of the quantum conditional…

量子物理 · 物理学 2026-05-28 Kaiyuan Ji , Eric Chitambar

Recent studies have introduced the worst-case quantum divergence as a key measure in quantum information. Here we show that such divergences can be understood from the perspective of the resource theory of asymmetric distinguishability,…

量子物理 · 物理学 2025-10-06 Siqi Yao , Kun Fang

We initiate the systematic study of resource theories of quantum channels, i.e. of the dynamics that quantum systems undergo by completely positive maps, in abstracto: Resources are in principle all maps from one quantum system to another,…

量子物理 · 物理学 2019-04-09 Zi-Wen Liu , Andreas Winter

A class of quantum resource theories, based on non-convex star-shape sets, presented in this work captures the key quantum properties that cannot be studied by standard convex theories. We provide operational interpretations for a resource…

Resource theories can be used to formalize the quantification and manipulation of resources in quantum information processing such as entanglement, asymmetry and coherence of quantum states, and incompatibility of quantum measurements.…

量子物理 · 物理学 2019-04-05 Roope Uola , Tristan Kraft , Jiangwei Shang , Xiao-Dong Yu , Otfried Gühne
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