Robust certification of non-projective measurements: theory and experiment
Heinrich-Heine-Universität Düsseldorf（杜塞尔多夫海因里希·海涅大学）；Universität Innsbruck（因斯布鲁克大学）；Lund University（隆德大学）；Austrian Academy of Sciences（奥地利科学院）
Raphael Brinster, Peter Tirler, Shishir Khandelwal, Michael Meth, Hermann Kampermann, Dagmar Bruß, Rainer Blatt, Martin Ringbauer, Armin Tavakoli, Nikolai Wyderka
Determining the conditions under which positive operator-valued measures (POVMs), the most general class of quantum measurements, outperform projective measurements remains a challenging and largely unresolved problem. Of particular interest are projectively simulable POVMs, which can be realized through probabilistic mixtures of projective measurements, and therefore offer no advantage over projective schemes. Characterizing the boundary between simulable and non-simulable POVMs is, however, a difficult task, and existing tools either fail to scale efficiently, provide limited experimental feasibility or work only for specific POVMs. Here, we introduce and demonstrate a general method to certify non-simulability of a POVM by introducing a complete hierarchy of semidefinite programs. It provides upper bounds on the non-simulability measure of critical visibility of arbitrary POVMs which are tight in many cases and outperform previously known criteria. We experimentally certify the non-simulability of two- and three-dimensional POVMs using a trapped-ion qudit quantum processor by constructing non-simulability witnesses and introduce a modification of our framework that makes them robust against state preparation errors. Finally, we extend our results to the setting where an additional ancilla system is available.
Device-independent certification of maximal randomness from pure entangled two-qutrit states using non-projective measurements
虽然最近已经证明了如何以设备无关的方式证明任何纯两量子比特纠缠态的最大随机性[E。Woodhead等人，Phys. Rev. Research 2，042028（R）（2020）]，来自更高局部维度的纠缠态的最佳随机性认证的问题仍然是开放的。在这里，我们介绍了一种方法的设备无关的认证的最大可能数量的$2\log_23$随机比特使用纯二分纠缠两quutrit状态和极端的九个结果一般非投影测量。为此，我们利用最近在[S. Sarkar等人，arXiv：2110.15176]，它结合了一种设备无关的方法来证明三维希尔伯特空间中的完全Weyl-Heisenberg基，以及一种单侧设备无关的方法来证明两个quitri部分纠缠态。
Certifying classes of $d$-outcome measurements with quantum steering
Center for Theoretical Physics, Polish Academy of Sciences（波兰科学院理论物理中心）；Institute of Fundamental Technological Research, Polish Academy of Sciences（波兰科学院基础技术研究所以）
Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario
Robust certification of quantum instruments through a sequential communication game
S. N. Bose National Centre for Basic Sciences（S. N. Bose 基础科学国家中心）；Centre for Quantum Science and Technology, Chennai Institute of Technology（金奈理工学院量子科学与技术中心）
The Power of Two Bases: Robust and copy-optimal certification of nearly all quantum states with few-qubit measurements
Paul G. Allen School of Computer Science and Engineering, University of Washington（华盛顿大学保罗·G·艾伦计算机科学与工程学系）；Massachusetts Institute of Technology（麻省理工学院）
Robust Device-Independent Certification of Boolean-Phase Gates
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）；Faculty of Physics, University of Belgrade（贝尔格莱德大学物理学院）
Certification of quantum properties with imperfect measurements
ICFO - Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（光子科学研究所）；ICREA - Institució Catalana de Recerca i Estudis Avançats（加泰罗尼亚研究高级学院）；Physics Department E. Pancini - Università degli Studi di Napoli Federico II（那不勒斯费德里科二世大学）
Experimental certification of high-dimensional entanglement with randomized measurements
Racah Institute of Physics, The Hebrew University of Jerusalem（拉卡物理学研究所，耶路撒冷希伯来大学）；State Key Laboratory for Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-optoelectronics, Peking University（北京大学物理学院介观物理国家重点实验室纳米光电子前沿科学中心）；Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien（维也纳量子科学与技术中心，原子研究所，维也纳工业大学）；Collaborative Innovation Center of Extreme Optics, Shanxi University（山西大学极端光学协同创新中心）；Hefei National Laboratory（合肥国家实验室）；Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences（奥地利科学院量子光学与量子信息研究所）
Quantumness certification via non-demolition measurements
Dipartimento di Fisica, Università di Genova（热那亚大学物理系）；INFN - Sezione di Genova（意大利国家核物理研究所热那亚分部）；Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO)（意大利国家研究委员会光学研究所）；European Laboratory for Non-linear Spectroscopy, Universitá di Firenze（佛罗伦萨大学欧洲非线性光谱学实验室）
Randomness Certification and Trade-offs in the Prepare-and-Broadcast Scenario
Federal University of Rio Grande do Norte（北里奥格兰德联邦大学）；International Institute of Physics, Federal University of Rio Grande do Norte（北里奥格兰德联邦大学国际物理研究所）；QuIIN - Quantum Industrial Innovation, EMBRAPII CIMATEC Competence Center in Quantum Technologies, SENAI CIMATEC（QuIIN-量子工业创新，EMBRAPII CIMATEC量子技术能力中心，SENAI CIMATEC）；Center for Macroscopic Quantum States bigQ, Department of Physics, Technical University of Denmark（丹麦技术大学物理学系宏观量子态bigQ中心）
