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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…

量子物理 · 物理学 2020-12-22 Bartosz Regula , Kaifeng Bu , Ryuji Takagi , Zi-Wen Liu

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

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

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…

量子物理 · 物理学 2020-01-17 Bartosz Regula

Any quantum resource theory is based on free states and free operations, i.e., states and operations which can be created and performed at no cost. In the resource theory of coherence free states are diagonal in some fixed basis, and free…

量子物理 · 物理学 2016-12-26 Julio I. de Vicente , Alexander Streltsov

Quantum complexity is emerging as a key property of many-body systems, including black holes, topological materials, and early quantum computers. A state's complexity quantifies the number of computational gates required to prepare the…

Any quantum resource theory is based on free states and free operations, i.e., states and operations which can be created and performed at no cost. In the resource theory of coherence free states are diagonal in some fixed basis, and free…

量子物理 · 物理学 2017-01-06 Julio I. de Vicente , Alexander Streltsov

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

Quantum coherence is an essential feature of quantum mechanics and is an important physical resource in quantum information. Recently, the resource theory of quantum coherence has been established parallel with that of entanglement. In the…

量子物理 · 物理学 2018-01-17 Si-ren Yang , Chang-shui Yu

We show that both the classical as well as the quantum definitions of the Fisher information faithfully identify resourceful quantum states in general quantum resource theories, in the sense that they can always distinguish between states…

量子物理 · 物理学 2021-11-25 Kok Chuan Tan , Varun Narasimhachar , Bartosz Regula

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

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…

量子物理 · 物理学 2022-06-15 Mingfei Ye , Yu Luo , Zhihui Li , Yongming Li

The superposition principle lies at the heart of many non-classical properties of quantum mechanics. Motivated by this, we introduce a rigorous resource theory framework for the quantification of superposition of a finite number of linear…

量子物理 · 物理学 2017-12-19 T. Theurer , N. Killoran , D. Egloff , M. B. Plenio

The quest to identify quantum advantages lies at the heart of quantum technology. While quantum devices promise extraordinary capabilities, from exponential computational speedups to unprecedented measurement precision, distinguishing…

量子物理 · 物理学 2025-08-14 Hsin-Yuan Huang , Soonwon Choi , Jarrod R. McClean , John Preskill

How useful is a quantum dynamical operation for quantum information processing? Motivated by this question we investigate several strength measures quantifying the resources intrinsic to a quantum operation. We develop a general theory of…

Resource theories play an important role in quantum information theory, as they identify resourceful states and channels that are potentially useful for the accomplishment of tasks that would be otherwise unreachable. The elementary…

量子物理 · 物理学 2020-09-02 A. C. S. Costa , R. M. Angelo

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states which are free (because they can be…

量子物理 · 物理学 2015-06-11 Michał Horodecki , Jonathan Oppenheim

Quantum channels are quintessential to quantum information, being used in all protocols, and describing how systems evolve in space and time. As such, they play a key role in the manipulation of quantum resources, and they are often…

量子物理 · 物理学 2021-01-06 Gilad Gour , Carlo Maria Scandolo

A fundamental challenge in quantum resource theory is to establish operational interpretations by quantifying the advantage that quantum resources provide in specific tasks. Conventional resource theories, however, have inherent limitations…

量子物理 · 物理学 2026-04-06 Sunho Kim , Chunhe Xiong , Junde Wu

Recently there have been fruitful results on resource theories of quantum measurements. Here we investigate the number of measurement outcomes as a kind of resource. We cast the robustness of the resource as a semi-definite positive…

量子物理 · 物理学 2022-09-28 Weixu Shi , Chaojing Tang