Self-testing is a method to verify that one has a particular quantum state from purely classical statistics. For practical applications, such as device-independent delegated verifiable quantum computation, it is crucial that one self-tests multiple Bell states in parallel while keeping the quantum capabilities required of one side to a minimum. In this work, we use the $3 \times n$ magic rectangle games (generalizations of the magic square game) to obtain a self-test for $n$ Bell states where the one side needs only to measure single-qubit Pauli observables. The protocol requires small input sizes [constant for Alice and $O(\log n)$ bits for Bob] and is robust with robustness $O(n^{5/2} \sqrt{\varepsilon})$, where $\varepsilon$ is the closeness of the ideal (perfect) correlations to those observed. To achieve the desired self-test, we introduce a one-side-local quantum strategy for the magic square game that wins with certainty, we generalize this strategy to the family of $3 \times n$ magic rectangle games, and we supplement these nonlocal games with extra check rounds (of single and pairs of observables).
No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing
University of Gdańsk(格但斯克大学);International Centre for Theory of Quantum Technologies, University of Gdańsk(格但斯克大学量子技术理论国际中心);Max Planck Institute for Quantum Optics(马克斯·普朗克量子光学研究所);Faculty of Physics, Ludwig Maximilian University(慕尼黑大学物理学院);Munich Center for Quantum Science and Technology(慕尼黑量子科学与技术中心)
局域实在论已经被基于贝尔定理的纠缠粒子实验所推翻。Bell,Physics(Long Island City,N.Y.)1,195(1964))。然而,关于问题是局部性还是现实性的争论一直在继续。在这项工作中,我们分析了爱因斯坦-波多尔斯基-罗森思想实验玻姆的版本,用信息论和热力学。从EPR实验中推断非定域性将违背量子力学的非实在性原理。因此,有关量子纠缠的实验不能提供任何证据来指责局域性。
Quantitative comparison of quantum pseudo-telepathy games and Bell inequalities
HUN-REN Wigner Research Centre for Physics(匈牙利科学院维格纳物理研究中心);Institute of Mathematics and Informatics, Faculty of Science, University of Pécs(佩奇大学理学院数学与信息学研究所)
Standard Quantum Teleportation of an Arbitrary N-Qubit State, Non-Existence of Magic Basis and Existence of Magic Partial Bases for 2N Entangled Qubit States with N>1
8 Boolean Atoms Spanning the 256-Dimensional Entanglement-Probability Three-Set Algebra of the Two-Qutrit Hiesmayr-Loffler Magic Simplex of Bell States
Revealing Entanglement-Growth Mechanisms through the Magic Barrier
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences(中国科学院物理研究所凝聚态物理国家实验室);School of Physical Sciences, University of Chinese Academy of Sciences(中国科学院大学物理科学学院);Beijing Key Laboratory of Advanced Quantum Technology, Beijing Academy of Quantum Information Sciences(北京量子信息科学研究院先进量子技术北京市重点实验室);Hefei National Laboratory(合肥国家实验室);Songshan Lake Materials Laboratory(松山湖材料实验室);Department of Physics, Princeton University(普林斯顿大学物理系)
Stabilizer Statistical Mechanics: A Framework for Efficient Quantification and Classification of Magic States
LG Electronics Toronto AI Lab(LG电子多伦多人工智能实验室);Centre for Quantum Technologies, National University of Singapore(新加坡国立大学量子技术中心);MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654(MajuLab,CNRS-UNS-NUS-NTU国际联合研究单元,UMI 3654);National Institute of Education, Nanyang Technological University(南洋理工大学国立教育学院)
Exploring Bell Nonlocality with Extremal Non-Signaling Boxes
Instituto Superior Técnico(里斯本高等技术学院);Instituto de Telecomunicações(电信研究所);Q*Bird BV(Q*Bird有限公司);INL – International Iberian Nanotechnology Laboratory(伊比利亚纳米技术国际实验室);Sorbonne Université, CNRS, LIP6(索邦大学,法国国家科学研究中心,LIP6实验室);Zuse Institute Berlin(柏林祖斯研究所);Universidad de Sevilla(塞维利亚大学);Instituto Carlos I de Física Teórica y Computacional, Universidad de Sevilla(塞维利亚大学卡洛斯一世理论与计算物理研究所);Inria, ENS de Lyon, UCBL, LIP(法国国家信息与自动化研究所,里昂高等师范学院,里昂第一大学,LIP实验室)
Entanglement boosting: Low-volume logical Bell pair preparation for distributed fault-tolerant quantum computation
Nanofiber Quantum Technologies, Inc. (NanoQT)(纳米纤维量子技术有限公司);Clarendon Laboratory, University of Oxford(牛津大学克拉伦登实验室);Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo(东京大学大学院信息理工学研究系计算机科学专业)
Device-Independent Self-Testing of the Three-Qubit CCZ Hypergraph State
College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics(南京航空航天大学计算机科学与技术学院);China University of Petroleum(中国石油大学);Institute of Computing Technology, CAS(中国科学院计算技术研究所)
Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
Tencent Quantum Laboratory(腾讯量子实验室);HUN-REN Alfréd Rényi Institute of Mathematics(匈牙利冯·诺依曼数学研究所);HUN-REN Institute for Computer Science and Control(匈牙利计算机科学与控制研究所);Centre for Quantum Technologies(量子技术中心);National University of Singapore(新加坡国立大学);CNRS, IRIF, Université Paris Cité(法国国家科学研究中心、IRIF、巴黎Cité大学)
Practical Tests and Witnesses of Fermionic non-Gaussianity
Quantum Research Center, Technology Innovation Institute(技术革新研究所量子研究中心);Institut für Theoretische Physik, Universität zu Köln(科隆大学理论物理研究所);Barcelona Supercomputing Center(巴塞罗那超级计算中心)