The resource theory of imaginarity studies the operational value of imaginary parts in quantum states, operations, and measurements. Here we introduce and study the distillation and conversion of imaginarity in distributed scenario. This arises naturally in bipartite systems where both parties work together to generate the maximum possible imaginarity on one of the subsystems. We give exact solutions to this problem for general qubit states and pure states of arbitrary dimension. We present a scenario that demonstrates the operational advantage of imaginarity: the discrimination of quantum channels without the aid of an ancillary system. We then link this scenario to LOCC discrimination of bipartite states. We experimentally demonstrate the relevant assisted distillation protocol, and show the usefulness of imaginarity in the aforementioned two tasks.
Imaginarity as a Resource within Quantum Coherence: Geometric Decomposition and Operational Conversion
School of Science, East China University of Technology(华东交通大学理学院);School of Computer and Computing Science, Hangzhou City University(杭州城市大学计算机与计算科学学院);School of Mathematical Sciences, Capital Normal University(首都师范大学数学科学学院)
Off-resonant preservation and generation of imaginarity in distributed scenarios
Institute of Physics, Chinese Academy of Sciences(中国科学院物理研究所);University of Chinese Academy of Sciences(中国科学院大学);Beijing Academy of Quantum Information Sciences(北京量子信息科学研究院)
Imaginarity measures induced by real part states and the complementarity relations
School of Science, Beijing Information Science and Technology University(北京信息科技大学理学院);School of Mathematics, Nanjing University of Aeronautics and Astronautics(南京航空航天大学数学学院);School of Mathematics and Statistics, Shaanxi Normal University(陕西师范大学数学与统计学院)
Imaginarity Resource Theory of Gaussian Quantum Channels
School of Mathematical Science, Shanxi University(山西大学数学科学学院);College of Mathematics, Taiyuan University of Technology(太原理工大学数学学院);Key Laboratory of Complex Systems and Data Science of Shanxi University(山西大学复杂系统与数据科学重点实验室)
Multi-state imaginarity and coherence in qubit systems
School of Mathematics, South China University of Technology(华南理工大学数学学院);Institut für Theoretische Physik, Universität Ulm(乌尔姆大学理论物理研究所);INL – International Iberian Nanotechnology Laboratory(伊比利亚纳米技术国际实验室);Centro de Física, Universidade do Minho(米尼奥大学物理中心);School of Science, Hangzhou Dianzi University(杭州电子科技大学理学院)
Uniqueness of imaginarity-assisted exact transformation from real orthogonal operations to arbitrary unitary operations
NTT Communication Science Laboratories, NTT Inc.(NTT通信科学实验室);Mitsubishi Electric Corporation(三菱电机株式会社);NTT Research Center for Theoretical Quantum Information, NTT Inc.(NTT理论量子信息研究中心)
Indian Institute of Technology Jodhpur(印度理工学院乔德普尔分校);Institute of High Energy Physics, Chinese Academy of Sciences(中国科学院高能物理研究所);Kaiping Neutrino Research Center(开平中微子研究中心);School of Physical Sciences, University of Chinese Academy of Sciences(中国科学院大学物理科学学院)
Experimental certification of the nonlocal advantages of quantum imaginarity
College of Physics and Optoelectronic Engineering, Ocean University of China(中国海洋大学物理与光电工程学院);China Mobile (Suzhou) Software Technology Company Limited(中国移动(苏州)软件技术有限公司);Engineering Research Center of Advanced Marine Physical Instruments and Equipment (Ministry of Education), Ocean University of China(中国海洋大学先进海工高技术装备教育部工程研究中心);Qingdao Key Laboratory of Advanced Optoelectronics, Ocean University of China(中国海洋大学青岛先进光电子学重点实验室)
Analyzing the free states of one quantum resource theory as resource states of another
Los Alamos National Laboratory(洛斯阿拉莫斯国家实验室);Quantum Science Center, Oak Ridge, TN 37931, USA(橡树岭量子科学中心);Donostia International Physics Center(圣塞巴斯蒂安国际物理中心);Department of Applied Physics, University of the Basque Country (UPV/EHU)(巴斯克大学应用物理系);Center for Non-Linear Studies, Los Alamos National Laboratory(洛斯阿拉莫斯国家实验室非线性研究中心);Dahlem Center for Complex Quantum Systems, Freie Universität Berlin(柏林自由大学达勒姆复杂量子系统中心)
Catalytic channels are the only noise-robust catalytic processes
Nanyang Technological University(南洋理工大学);Nagoya University(名古屋大学);University of Tsukuba(筑波大学);Aix-Marseille University(艾克斯-马赛大学);Ulsan National Institute of Science and Technology (UNIST)(蔚山科学技术院)
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)