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In developing quantum science and technologies, it is essential to demonstrate the so-called quantum advantages, which are performances that can be achieved only with the assistance of quantum resources. Most of the time, different quantum…

量子物理 · 物理学 2025-10-23 Chung-Yun Hsieh , Manuel Gessner

One of the most difficult problems in quantum mechanics is the analysis of the measurement processes. In this paper, we point out that many of these difficulties originate from the different roles of measurement outcomes and observable…

量子物理 · 物理学 2017-06-08 Taiki Nii , Masataka Iinuma , Holger F. Hofmann

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 prevalent modus operandi within the framework of quantum resource theories has been to characterise and harness the resources within single objects, in what we can call \emph{single-object} quantum resource theories. One can wonder…

量子物理 · 物理学 2020-09-16 Andrés F. Ducuara , Patryk Lipka-Bartosik , Paul Skrzypczyk

Measurement incompatibility describes two or more quantum measurements whose expected joint outcome on a given system cannot be defined. This purely non-classical phenomenon provides a necessary ingredient in many quantum information tasks…

量子物理 · 物理学 2020-04-01 Francesco Buscemi , Eric Chitambar , Wenbin Zhou

We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task. A main result is that the maximum success probability of distinguishing a…

量子物理 · 物理学 2020-03-04 Lu Li , Kaifeng Bu , Zi-Wen Liu

Measurement-based quantum computing enables universal quantum computing with only adaptive single-qubit measurements on certain many-qubit states, such as the graph state, the Affleck-Kennedy-Lieb-Tasaki (AKLT) state, and several…

量子物理 · 物理学 2017-11-15 Tomoyuki Morimae

The recently established resource theory of quantum coherence allows for a quantitative understanding of the superposition principle, with applications reaching from quantum computing to quantum biology. While different quantifiers of…

Quantum resource theories provide a structured and elegant framework for quantifying quantum resources. While state-based resource theories have been extensively studied, their measurement-based resource theories remain relatively…

量子物理 · 物理学 2026-02-25 Arindam Mitra , Sumit Mukherjee , Changhyoup Lee

The advantage that quantum systems provide for certain quantum information processing tasks over their classical counterparts can be quantified within the general framework of resource theories. Certain distance functions between quantum…

量子物理 · 物理学 2023-05-17 Lucas Tendick , Martin Kliesch , Hermann Kampermann , Dagmar Bruß

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…

量子物理 · 物理学 2019-10-02 Ryuji Takagi , Bartosz Regula

Quantum resources are certain features of the quantum world that provide advantages in certain information-theoretic, thermodynamic, or any other useful operational tasks that are outside the realm of what classical theories can achieve.…

量子物理 · 物理学 2025-10-24 Jatin Ghai , Arindam Mitra

Measurement-based quantum computation is a novel model of quantum computing where universal quantum computation can be done with only local measurements on each particle of a quantum many-body state, which is called a resource state. One…

量子物理 · 物理学 2014-08-07 Tomoyuki Morimae

Contextuality - the obstruction to describing quantum mechanics in a classical statistical way - has been proposed as a resource that powers quantum computing. The measurement-based model provides a concrete manifestation of contextuality…

量子物理 · 物理学 2018-10-12 Markus Frembs , Sam Roberts , Stephen D. Bartlett

We introduce novel schemes for quantum computing based on local measurements on entangled resource states. This work elaborates on the framework established in [Phys. Rev. Lett. 98, 220503 (2007), quant-ph/0609149]. Our method makes use of…

量子物理 · 物理学 2009-11-13 D. Gross , J. Eisert , N. Schuch , D. Perez-Garcia

Quantum-state texture is a newly recognized quantum resource that has garnered attention with the advancement of quantum theory. In this work, we address several key aspects of quantum-state texture resource theory, including the…

量子物理 · 物理学 2025-10-07 Yuntao Cui , Zhaobing Fan , Sunho Kim

We investigate whether one can detect the presence of a quantum resource in some operational task or equivalently whether every quantum resource provides an advantage over its free counterpart in some black box scenarios where one does not…

量子物理 · 物理学 2025-04-10 Shubhayan Sarkar , Chandan Datta

Every quantum state can be represented as a probability distribution over the outcomes of an informationally complete measurement. But not all probability distributions correspond to quantum states. Quantum state space may thus be thought…

量子物理 · 物理学 2011-02-14 D. M. Appleby , Asa Ericsson , Christopher A. Fuchs

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

Increasingly sophisticated programmable quantum simulators and quantum computers are opening unprecedented opportunities for exploring and exploiting the properties of highly entangled complex quantum systems. The complexity of large…