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Quantum computing promises the ability to compute properties of quantum systems exponentially faster than classical computers. Quantum advantage is achieved when a practical problem is solved more efficiently on a quantum computer than on a…

量子物理 · 物理学 2025-12-03 William A. Simon , Peter J. Love

We build a framework allowing for a systematic investigation of the issue: "Which quantum states are universal resources for one-way quantum computation?" We start by re-examining what is exactly meant by "universality" in quantum…

量子物理 · 物理学 2007-07-31 M. Van den Nest , W. Dür , A. Miyake , H. J. Briegel

In the context of quantum resource theories (QRTs), free states are defined as those which can be obtained at no cost under a certain restricted set of conditions. However, when taking a free state from one QRT and evaluating it through the…

量子物理 · 物理学 2026-02-11 Andrew E. Deneris , Paolo Braccia , Pablo Bermejo , N. L. Diaz , Antonio A. Mele , M. Cerezo

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

Quantum resource theories offer a powerful framework for studying various phenomena in quantum physics. Despite considerable effort has been devoted to developing a unified framework of resource theories, there are few common properties…

量子物理 · 物理学 2019-04-17 C. L. Liu , Xiao-Dong Yu , D. M. Tong

Standard formulations of quantum theory are based on complex numbers: Quantum states can be in superpositions, with weights given by complex probability amplitudes. Motivated by quantum theory promising a range of practical advantages over…

量子物理 · 物理学 2025-06-03 Thomas J. Elliott

Quantum information science is a source of task-related axioms whose consequences can be explored in general settings encompassing quantum mechanics, classical theory, and more. Quantum states are compendia of probabilities for the outcomes…

量子物理 · 物理学 2007-05-23 Howard Barnum

We introduce a resource theory of channels relevant to communication via quantum channels, in which the set of constant channels --- useless channels for communication tasks --- is considered as the free resource. We find that our theory…

量子物理 · 物理学 2020-03-27 Ryuji Takagi , Kun Wang , Masahito Hayashi

Quantum computers promise dramatic advantages over their classical counterparts, but the answer to the most basic question "What is the source of the power in quantum computing?" has remained elusive. Here we prove a remarkable equivalence…

量子物理 · 物理学 2014-10-16 Mark Howard , Joel J. Wallman , Victor Veitch , Joseph Emerson

Contextuality has been identified as a potential resource responsible for the quantum advantage in several tasks. It is then necessary to develop a resource-theoretic framework for contextuality, both in its standard and generalized forms.…

量子物理 · 物理学 2018-06-27 Cristhiano Duarte , Barbara Amaral

Randomness can help one to implement quantum maps that cannot be realized in a deterministic fashion. Recently, it was discovered that explicitly treating a randomness source as a quantum system could double the efficiency as a catalyst for…

量子物理 · 物理学 2021-03-12 Seok Hyung Lie , Hyunseok Jeong

Quantum coherence is one of the most important resources in quantum information. Indeed, preventing the loss of coherence is one of the most important technical challenges obstructing the development of large-scale quantum computers.…

量子物理 · 物理学 2020-09-16 John H. Selby , Ciarán M. Lee

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

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

Quantum advantage is notoriously hard to find and even harder to prove. For example the class of functions computable with classical physics actually exactly coincides with the class computable quantum-mechanically. It is strongly believed,…

量子物理 · 物理学 2015-10-07 Howard Dale , David Jennings , Terry Rudolph

We employ the resource theory of generalized contextuality as a tool for analyzing the structure of prepare-and-measure scenarios. We argue that this framework simplifies proofs of quantum contextuality in complex scenarios and strengthens…

量子物理 · 物理学 2023-11-29 Rafael Wagner , Roberto D. Baldijão , Alisson Tezzin , Bárbara Amaral

We propose an approach to the study of quantum resource manipulation based on the basic observation that quantum channels which preserve certain sets of states are contractive with respect to the base norms induced by those sets. We forgo…

量子物理 · 物理学 2024-12-10 Bartosz Regula , Ludovico Lami

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

Quantum technology offers great advantages in many applications by exploiting quantum resources like nonclassicality, coherence, and entanglement. In practice, an environmental noise unavoidably affects a quantum system and it is thus an…

量子物理 · 物理学 2024-01-03 Jaehak Lee , Kyunghyun Baek , Jiyong Park , Jaewan Kim , Hyunchul Nha

The resource theory of coherence studies the operational value of superpositions in quantum technologies. A key question in this theory concerns the efficiency of manipulation and inter-conversion of the resource. Here we solve this…