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We generalize the recently proposed resource theory of coherence (or superposition) [Baumgratz, Cramer & Plenio, Phys. Rev. Lett. 113:140401; Winter & Yang, Phys. Rev. Lett. 116:120404] to the setting where not only the free ("incoherent")…

量子物理 · 物理学 2017-11-21 Khaled Ben Dana , María García Díaz , Mohamed Mejatty , Andreas Winter

Coherent superposition is a key feature of quantum mechanics that underlies the advantage of quantum technologies over their classical counterparts. Recently, coherence has been recast as a resource theory in an attempt to identify and…

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 consider the physical situations where the resource theories of coherence and thermodynamics play competing roles. In particular, we study the creation of quantum coherence using unitary operations with limited thermodynamic resources.…

量子物理 · 物理学 2016-06-01 Avijit Misra , Uttam Singh , Samyadeb Bhattacharya , Arun Kumar Pati

Manipulation and quantification of quantum resources are fundamental problems in quantum physics. In the asymptotic limit, coherence distillation and dilution have been proposed by manipulating infinite identical copies of states. In the…

量子物理 · 物理学 2018-10-02 Qi Zhao , Yunchao Liu , Xiao Yuan , Eric Chitambar , Xiongfeng Ma

Quantum coherence is a critical resource for many operational tasks. Understanding how to quantify and manipulate it also promises to have applications for a diverse set of problems in theoretical physics. For certain applications, however,…

量子物理 · 物理学 2016-11-22 Iman Marvian , Robert W. Spekkens

Quantum resource theories have been widely studied to systematically characterize the non-classicality of quantum systems. Most resource theories focus on quantum states and study their interconversions. Although quantum channels are…

量子物理 · 物理学 2020-02-19 Yunchao Liu , Xiao Yuan

We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Namely, we introduce the two basic concepts - "coherence distillation" and "coherence…

量子物理 · 物理学 2016-03-25 Andreas Winter , Dong Yang

Considerable work has recently been directed toward developing resource theories of quantum coherence. In most approaches, a state is said to possess quantum coherence if it is not diagonal in some specified basis. In this letter we…

量子物理 · 物理学 2016-12-28 Eric Chitambar , Gilad Gour

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 interconversion of this resource. Here we solve this…

量子物理 · 物理学 2019-03-13 Thomas Theurer , Alexander Streltsov , Martin B. Plenio

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

The resource theory of quantum coherence studies the off-diagonal elements of a density matrix in a distinguished basis, whereas the resource theory of purity studies all deviations from the maximally mixed state. We establish a direct…

量子物理 · 物理学 2018-06-05 Alexander Streltsov , Hermann Kampermann , Sabine Wölk , Manuel Gessner , Dagmar Bruß

Quantum resource theory under different classes of quantum operations advances multiperspective understandings of inherent quantum-mechanical properties, such as quantum coherence and quantum entanglement. We establish hierarchies of…

量子物理 · 物理学 2021-06-30 Hayata Yamasaki , Madhav Krishnan Vijayan , Min-Hsiu Hsieh

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

Connections between the resource theories of coherence and purity (or non-uniformity) are well known for discrete-variable, finite-dimensional, quantum systems. We establish analogous results for continuous-variable systems, in particular…

量子物理 · 物理学 2021-11-17 Giulio Gianfelici , Hermann Kampermann , Dagmar Bruß

This paper develops the resource theory of asymmetric distinguishability for quantum channels, generalizing the related resource theory for states [arXiv:1010.1030; arXiv:1905.11629]. The key constituents of the channel resource theory are…

量子物理 · 物理学 2019-12-18 Xin Wang , Mark M. Wilde

A fundamental problem in quantum information is to understand the operational significance of quantum resources. Quantum resource theories (QRTs) provide a powerful theoretical framework that aids in analyzing and comprehending the…

量子物理 · 物理学 2025-05-21 Yu Luo

Decoherence is all around us. Every quantum system that interacts with the environment is doomed to decohere. The preservation of quantum coherence is one of the major challenges faced in quantum technologies, but its use as a resource is…

量子物理 · 物理学 2020-06-23 Gaurav Saxena , Eric Chitambar , Gilad Gour

Although it is well known that the amount of resources that can be asymptotically distilled from a quantum state or channel does not exceed the resource cost needed to produce it, the corresponding relation in the non-asymptotic regime…

量子物理 · 物理学 2022-11-08 Ryuji Takagi , Bartosz Regula , Mark M. Wilde

Quantum coherence is an essential feature of quantum mechanics which is responsible for the departure between classical and quantum world. The recently established resource theory of quantum coherence studies possible quantum technological…

量子物理 · 物理学 2017-10-06 Alexander Streltsov , Swapan Rana , Paul Boes , Jens Eisert
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