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Joint Measurability of Unbiased Observables of a Qubit

  • Wei, Yibing
  • Nan, Hua
Given two pieces of classical information obtained via measurements of two observables there exist many joint probability distributions with these two pieces of classical information as marginal distributions. If there exists a joint distribution that can also be accounted for quantum mechanically via Born’s rule independent of the quantum state, then these two pieces of information can be obtained in a single apparatus and two corresponding observables are jointly measurable. In this paper, we study the joint measurability of observables of a qubit, and provide the sufficient and necessary conditions of the pair-wise and triple-wise jointly measurable for unbiased observables of a qubit. Moreover, at last some examples are given
Select Volume / Issue:
Year:
2019
Type of Publication:
Article
Keywords:
POVM; Joint Measurement; Pauli Matries
Journal:
IJASM
Volume:
6
Number:
1
Pages:
18-22
Month:
January
ISSN:
2394-2894
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