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Paper   IPM / Nano-Sciences / 16862
School of Nano Science
  Title:   Verification of joint measurability using phase-space quasiprobability distributions
  Author(s): 
1.  Saleh Rahimi-Keshari
2.  Mohammad Mehboudi
3.  Dario De Santis
4.  Daniel Cavalcanti
5.  Antonio Acín
  Status:   Published
  Journal: Phys. Rev. A
  Vol.:  104
  Year:  2021
  Pages:   042212
  Publisher(s):   American Physical Society
  Supported by:  IPM
  Abstract:
Measurement incompatibility is a distinguishing property of quantum physics and an essential resource for many quantum information processing tasks. We introduce an approach to verify the joint measurability of measurements based on phase-space quasiprobability distributions. Our results, therefore, establish a connection between two notions of nonclassicality, namely the negativity of quasiprobability distributions and measurement incompatibility. We show how our approach can be applied to the study of incompatibility-breaking channels and derive incompatibility-breaking sufficient conditions for bosonic systems and Gaussian channels. In particular, these conditions provide useful tools for investigating the effects of errors and imperfections on the incompatibility of measurements in practice. To illustrate our method, we consider all classes of single-mode Gaussian channels. We show that pure lossy channels with 50

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