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Recent developments surrounding resource theories have shown that any quantum state or measurement resource, with respect to a convex (and compact) set of resourceless objects, provides an advantage in a tailored subchannel or state…

Quantum Physics · Physics 2020-05-05 Roope Uola , Tristan Kraft , Alastair A. Abbott

Resource theories provide a general framework for the characterization of properties of physical systems in quantum mechanics and beyond. Here, we introduce methods for the quantification of resources in general probabilistic theories…

Quantum Physics · Physics 2021-03-19 Ludovico Lami , Bartosz Regula , Ryuji Takagi , Giovanni Ferrari

Quantum resource theories (QRTs) provide a unified framework to analyze quantum properties as resources for achieving advantages in quantum information processing. The generalized robustness and the weight of resource have been gaining…

Quantum Physics · Physics 2024-04-24 Kohdai Kuroiwa , Ryuji Takagi , Gerardo Adesso , Hayata Yamasaki

One of the central problems in the study of quantum resource theories is to provide a given resource with an operational meaning, characterizing physical tasks in which the resource can give an explicit advantage over all resourceless…

Quantum Physics · Physics 2020-05-06 Ryuji Takagi , Bartosz Regula , Kaifeng Bu , Zi-Wen Liu , Gerardo Adesso

Identifying what quantum-mechanical properties are useful to untap a superior performance in quantum technologies is a pivotal question. Quantum resource theories provide a unified framework to analyze and understand such properties, as…

Quantum Physics · Physics 2024-04-24 Kohdai Kuroiwa , Ryuji Takagi , Gerardo Adesso , Hayata Yamasaki

Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of…

A central problem in quantum resource theory is to give operational meaning to quantum resources that can provide clear advantages in certain physical tasks compared to the convex set of resource-free states. We propose to extend this basic…

Quantum Physics · Physics 2024-12-30 Sunho Kim , Chunhe Xiong , Junde Wu

We establish an operational characterization of general convex resource theories -- describing the resource content of not only states, but also measurements and channels, both within quantum mechanics and in general probabilistic theories…

Quantum Physics · Physics 2019-10-02 Ryuji Takagi , Bartosz Regula

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.…

Quantum Physics · Physics 2019-04-05 Roope Uola , Tristan Kraft , Jiangwei Shang , Xiao-Dong Yu , Otfried Gühne

We introduce a framework unifying the mathematical characterisation of different measures of general quantum resources and allowing for a systematic way to define a variety of faithful quantifiers for any given convex quantum resource…

Quantum Physics · Physics 2020-01-17 Bartosz Regula

One of the key issues in quantum discrimination problems is understanding the extent of the advantages in discrimination performance when using resource states compared to resourceless states. We show that in any resource theory of states,…

Quantum Physics · Physics 2025-09-16 Kenji Nakahira

Recently, the projective robustness of quantum states has been introduced in [arXiv:2109.04481(2021)]. It shows that the projective robustness is a useful resource monotone and can comprehensively characterize capabilities and limitations…

Quantum Physics · Physics 2022-06-15 Mingfei Ye , Yu Luo , Zhihui Li , Yongming Li

Which quantum phenomena are advantageous for information processing tasks? By classifying quantum states as resourceful versus non-resourceful, or free, the mathematical formalism of quantum resource theories helps to address such…

Quantum Physics · Physics 2025-09-22 Leah Turner , Madalin Guta , Gerardo Adesso

Robustness measures are increasingly prominent resource quantifiers that have been introduced for quantum resource theories such as entanglement and coherence. Despite the generality of these measures, their usefulness is hindered by the…

Quantum Physics · Physics 2023-06-02 Jonathan Schluck , Gláucia Murta , Hermann Kampermann , Dagmar Bruß , Nikolai Wyderka

We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similarities shared by broad classes of resources. We establish…

Quantum Physics · Physics 2020-12-22 Bartosz Regula , Kaifeng Bu , Ryuji Takagi , Zi-Wen Liu

Understanding whether uniquely quantum features can provide concrete advantages in thermodynamic processes is a central objective of quantum thermodynamics. A key challenge is quantifying how different forms of non-classicality can be…

Quantum Physics · Physics 2026-03-06 Luis Pedro Garcıa-Pintos , Tanmoy Biswas , Chandan Datta

For any resource theory it is essential to identify tasks for which resource objects offer advantage over free objects. We show that this identification can always be accomplished for resource theories of quantum measurements in which free…

Quantum Physics · Physics 2019-05-01 Michał Oszmaniec , Tanmoy Biswas

Continuous-variable systems realized in quantum optics play a major role in quantum information processing, and it is also one of the promising candidates for a scalable quantum computer. We introduce a resource theory for…

Quantum Physics · Physics 2018-07-04 Ryuji Takagi , Quntao Zhuang

The recent development of general quantum resource theories has given a sound basis for the quantification of useful quantum effects. Nevertheless, the evaluation of a resource measure can be highly non-trivial, involving an optimisation…

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,…

Quantum Physics · Physics 2019-07-11 Zi-Wen Liu , Kaifeng Bu , Ryuji Takagi
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