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 created under the class of operations), and those which are a resource (because they cannot be). One can quantify the worth of the resource by the relative entropy distance to the set of free states, and under certain conditions, this is a unique measure which quantifies the rate of state to state transitions. The framework includes entanglement, asymmetry and purity theory. It also includes thermodynamics, which is a hybrid resource theory combining purity theory and asymmetry. Another hybrid resource theory which merges purity theory and entanglement can be used to study quantumness of correlations and discord, and we present quantumness in this more general framework of resource theories.
我们根据Alicki和van Ryn(AvR)在“A simple test of quantumness for a single system”[J.Phys.A:Math.Theor.,第41卷,062001(2008)]。AvR测试旨在检测量子性。我们重新制定的AvR测试定义为量子态,而不是为可观的。这使我们能够确定必要的数量和资源,以检测任何给定系统的量子性。第一个量是系统的纯度。当将见证应用于具有甚至中等混合度的系统时,该协议无法揭示任何量子性。然后,我们表明,有许多副本的系统导致证人揭示量子性。这似乎与玻尔对应相反,玻尔对应断言,在大数极限下,量子系统成为经典的,而当几个非量子系统(由见证人确定)一起考虑时,见证人显示量子性。然而,检测量子性所需的资源随着系统数量的增加而急剧增加。我们应用量子证人的系统是高度混合的,但在大量的限制,这类似于核磁共振(NMR)系统。对类核磁共振系统的量子性检测做了一些总结。
Instrument-based quantum resources: quantification, hierarchies and constructing resource theories
The Institute of Mathematical Sciences(数学科学研究所);Homi Bhabha National Institute(霍米·巴巴国立研究所);Indian Institute of Technology Bhubaneswar(布巴内斯瓦尔印度理工学院);Korea Research Institute of Standards and Science(韩国标准科学研究院)
Polytopic Quantum Resource Theories: Geometry and Structures
Institute of Informatics, Faculty of Mathematics, Physics and Informatics, University of Gdansk(格但斯克大学数学、物理与信息学院信息学研究所);Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata(印度科学教育与研究学院加尔各答分校物理科学系)
Influence of Noninertial Dynamics on Static Quantum Resource Theories
Sri Sai Ram Engineering College(斯里赛拉姆工程学院);New York University Shanghai, NYU- ECNU Institute of Physics at NYU Shanghai(纽约大学上海分校,纽约大学上海NYU-华东师范大学物理研究所);East China Normal University(华东师范大学);NYUAD Research Institute, New York University Abu Dhabi(阿布扎比纽约大学研究院);New York University(纽约大学)
Multi-object operational tasks for convex quantum resource theories
在量子资源理论的框架内,普遍的做法是在单个对象内收集和利用资源,我们可以称之为\emph{single-object}量子资源理论。然而,人们可能想知道,现在在\emph{multi-object}量子资源理论中,包含在多个不同类型的对象内的资源是否可以同时被利用以有利于操作任务。在这项工作中,我们介绍了这样的多对象的操作任务的例子,在子通道歧视和子通道排除游戏的形式,在其中的球员利用的资源包含在一个状态测量对。我们证明,对于任何状态测量对,其中任何一个是足智多谋,存在歧视和排斥游戏,这样一对优于任何可能的自由状态测量对。这些结果适用于任意凸资源的状态,和任意凸资源的测量,经典的后处理是一个自由的操作。此外,我们证明了在这些多目标操作任务的优势是确定的,在乘法的方式,由资源量词:\emph{generalised robustness of resource}的状态和测量的歧视游戏和\emph{weight of resource}的状态和测量的排斥游戏。
Re-examining the Role of State Texture in Gate Identification and Fixed-Point Resource Theories
University of Toronto(多伦多大学);Purdue University(普渡大学);Purdue Quantum Science and Engineering Institute(普渡量子科学与工程研究所);Oak Ridge National Laboratory(橡树岭国家实验室);DEVCOM Army Research Laboratory(德弗科姆陆军研究实验室);Tulane University(杜兰大学)
University of Malta(马耳他大学);Jagiellonian University(雅盖隆大学);Nanyang Technological University(南洋理工大学);Institute for Cross-Disciplinary Physics and Complex Systems IFISC (UIB-CSIC)(跨学科物理与复杂系统研究所 IFISC(巴利阿里群岛大学-西班牙国家研究委员会));ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology(ICFO-光子科学研究所,巴塞罗那科技研究院);Polish Academy of Sciences(波兰科学院)
Resource-theoretic hierarchy of contextuality for general probabilistic theories
International Iberian Nanotechnology Laboratory(国际伊比利亚纳米技术实验室);Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences(奥地利科学院量子光学与量子信息研究所);Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna(维也纳大学物理学院量子科学与工程中心(VCQ));Institute for Theoretical Physics, University of Innsbruck(因斯布鲁克大学理论物理研究所)
A General Theory of Multi-Resource Theories Involving Finite-Group Asymmetry
Department of Informatics, Faculty of Information Science and Electrical Engineering, Kyushu University(九州大学信息科学与电气工程学院信息系);JST, FOREST(日本科学技术振兴机构,FOREST项目)
Stochastic approximate state conversion for entanglement and general quantum resource theories
Centre for Quantum Optical Technologies, Centre of New Technologies, University of Warsaw(华沙大学新科技中心量子光学技术研究中心);Indian Institute of Technology Jodhpur(焦特普尔印度理工学院);Institute of Fundamental Technological Research, Polish Academy of Sciences(波兰科学院基础技术研究所以)
Southern Illinois University(南伊利诺伊大学);Argonne National Laboratory(阿贡国家实验室);Polish Academy of Sciences(波兰科学院);National Taiwan Normal University(台湾师范大学);University of the Basque Country UPV/EHU(巴斯克共和国大学)
Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories