Quantum union bounds for sequential projective measurements

被引:19
|
作者
Gao, Jingliang [1 ]
机构
[1] Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R China
来源
PHYSICAL REVIEW A | 2015年 / 92卷 / 05期
基金
中国国家自然科学基金;
关键词
D O I
10.1103/PhysRevA.92.052331
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We present two quantum union bounds for sequential projective measurements. These bounds estimate the disturbance accumulation and probability of outcomes when the measurements are performed sequentially. These results are based on a trigonometric representation of quantum states and should have wide application in quantum information theory for information-processing tasks such as communication and state discrimination, and perhaps even in the analysis of quantum algorithms.
引用
收藏
页数:6
相关论文
共 50 条
  • [41] Detection of a quantum particle on a lattice under repeated projective measurements
    Dhar, Shrabanti
    Dasgupta, Subinay
    Dhar, Abhishek
    Sen, Diptiman
    PHYSICAL REVIEW A, 2015, 91 (06):
  • [42] Tight Bounds for Quantum State Certification with Incoherent Measurements
    Chen, Sitan
    Huang, Brice
    Li, Jerry
    Liu, Allen
    2022 IEEE 63RD ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS), 2022, : 1205 - 1213
  • [43] Experimental quantum key distribution with uncharacterized sources and projective measurements
    Zhu, Jian-Rong
    Wu, Wen-Zhe
    Ji, Liang
    Zhang, Chun-Mei
    Wang, Qin
    OPTICS LETTERS, 2019, 44 (23) : 5703 - 5706
  • [44] On Generalization Bounds for Projective Clustering
    Bucarelli, Maria Sofia
    Larsen, Matilde Fjeldsø
    Schwiegelshohn, Chris
    Toftrup, Mads Bech
    Advances in Neural Information Processing Systems, 2023, 36
  • [45] BOUNDS ON DEGREES OF PROJECTIVE SCHEMES
    STURMFELS, B
    TRUNG, NV
    VOGEL, W
    MATHEMATISCHE ANNALEN, 1995, 302 (03) : 417 - 432
  • [46] On Generalization Bounds for Projective Clustering
    Bucarelli, Maria Sofia
    Larsen, Matilde Fjeldso
    Schwiegelshohn, Chris
    Toftrup, Mads Bech
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
  • [47] Unifying quantum computation with projective measurements only and one-way quantum computation
    Jorrand, P
    Perdrix, S
    Quantum Informatics 2004, 2004, 5833 : 44 - 51
  • [48] Error-Disturbance Tradeoff in Sequential Quantum Measurements
    Mao, Ya-Li
    Ma, Zhi-Hao
    Jin, Rui-Bo
    Sun, Qi-Chao
    Fei, Shao-Ming
    Zhang, Qiang
    Fan, Jingyun
    Pan, Jian-Wei
    2019 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2019,
  • [49] GEOMETRIC PHASE AND SEQUENTIAL MEASUREMENTS IN QUANTUM-MECHANICS
    CASSINELLI, G
    DEVITO, E
    LAHTI, P
    LEVRERO, A
    PHYSICAL REVIEW A, 1994, 49 (05): : 3229 - 3233
  • [50] Nonequilibrium quantum-heat statistics under stochastic projective measurements
    Gherardini, Stefano
    Buffoni, Lorenzo
    Muller, Matthias M.
    Caruso, Filippo
    Campisi, Michele
    Trombettoni, Andrea
    Ruffo, Stefano
    PHYSICAL REVIEW E, 2018, 98 (03)