Compatibility of Generalized Noisy Qubit Measurements

被引:3
|
作者
Renner, Martin J. [1 ,2 ]
机构
[1] Univ Vienna, Fac Phys, Vienna Ctr Quantum Sci & Technol VCQ, Boltzmanngasse 5, A-1090 Vienna, Austria
[2] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat IQOQI, Boltzmanngasse 3, A-1090 Vienna, Austria
基金
奥地利科学基金会;
关键词
QUANTUM; REALITY;
D O I
10.1103/PhysRevLett.132.250202
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is a crucial feature of quantum mechanics that not all measurements are compatible with each other. However, if measurements suffer from noise they may lose their incompatibility. Here, we consider the effect of white noise and determine the critical visibility such that all qubit measurements, i.e., all positive operatorvalued measures (POVMs), become compatible, i.e., jointly measurable. In addition, we apply our methods to quantum steering and Bell nonlocality. We obtain a tight local hidden state model for two-qubit Werner states of visibility 1 / 2. This determines the exact steering bound for two-qubit Werner states and also provides a local hidden variable model that improves on previously known models. Interestingly, this proves that POVMs are not more powerful than projective measurements to demonstrate quantum steering for these states.
引用
收藏
页数:8
相关论文
共 50 条
  • [31] Floquet-engineered quantum state manipulation in a noisy qubit
    Boyers, Eric
    Pandey, Mohit
    Campbell, David K.
    Polkovnikov, Anatoli
    Sels, Dries
    Sushkov, Alexander O.
    PHYSICAL REVIEW A, 2019, 100 (01)
  • [32] Entanglement dynamics of three-qubit states in noisy channels
    Siomau, M.
    Fritzsche, S.
    EUROPEAN PHYSICAL JOURNAL D, 2010, 60 (02): : 397 - 403
  • [33] Wigner function of noisy accelerated two-qubit system
    M. Y. Abd-Rabbou
    N. Metwally
    M. M. A. Ahmed
    A.-S. F. Obada
    Quantum Information Processing, 2019, 18
  • [34] All unital qubit channels are 4-noisy operations
    Alexander Müller-Hermes
    Christopher Perry
    Letters in Mathematical Physics, 2019, 109 : 1 - 9
  • [35] A Generalized Backward Compatibility Metric
    Sakai, Tomoya
    PROCEEDINGS OF THE 28TH ACM SIGKDD CONFERENCE ON KNOWLEDGE DISCOVERY AND DATA MINING, KDD 2022, 2022, : 1525 - 1535
  • [36] Closed-loop control of a noisy qubit with reinforcement learning
    Ding, Yongcheng
    Chen, Xi
    Magdalena-Benedito, Rafael
    Martin-Guerrero, Jose D.
    MACHINE LEARNING-SCIENCE AND TECHNOLOGY, 2023, 4 (02):
  • [37] Multiparameter Estimation with Two-Qubit Probes in Noisy Channels
    Conlon, Lorcan O.
    Lam, Ping Koy
    Assad, Syed M.
    ENTROPY, 2023, 25 (08)
  • [38] Entanglement dynamics of three-qubit states in noisy channels
    M. Siomau
    S. Fritzsche
    The European Physical Journal D, 2010, 60 : 397 - 403
  • [39] Coherent dynamics of a qubit-oscillator system in a noisy environment
    Wu, Wei
    Cheng, Jun-Qing
    QUANTUM INFORMATION PROCESSING, 2018, 17 (11)
  • [40] Wigner function of noisy accelerated two-qubit system
    Abd-Rabbou, M. Y.
    Metwally, N.
    Ahmed, M. M. A.
    Obada, A-S. F.
    QUANTUM INFORMATION PROCESSING, 2019, 18 (12)