4.6 Article

Adaptive experimental design for one-qubit state estimation with finite data based on a statistical update criterion

期刊

PHYSICAL REVIEW A
卷 85, 期 5, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.85.052107

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资金

  1. JSPS [22-7564]
  2. Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan.
  3. Grants-in-Aid for Scientific Research [10J07564] Funding Source: KAKEN

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We consider 1-qubit mixed quantum state estimation by adaptively updating measurements according to previously obtained outcomes and measurement settings. Updates are determined by the average-variance-optimality (A-optimality) criterion, known in the classical theory of experimental design and applied here to quantum state estimation. In general, A optimization is a nonlinear minimization problem; however, we find an analytic solution for 1-qubit state estimation using projective measurements, reducing computational effort. We compare numerically the performances of two adaptive and two nonadaptive schemes for finite data sets and show that the A-optimality criterion gives more precise estimates than standard quantum tomography.

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