Data-driven inference, reconstruction, and observational completeness of quantum devices

@article{DallArno2018DatadrivenIR,
  title={Data-driven inference, reconstruction, and observational completeness of quantum devices},
  author={Michele Dall’Arno and Francesco Buscemi and Alessandro Bisio and Alessandro Tosini},
  journal={arXiv: Quantum Physics},
  year={2018}
}
The range of a quantum measurement is the set of output probability distributions that can be produced by varying the input state. We introduce data-driven inference as a protocol that, given a set of experimental data as a collection of output distributions, infers the quantum measurement which is, i) consistent with the data, in the sense that its range contains all the distributions observed, and, ii) maximally noncommittal, in the sense that its range is of minimum volume in the space of… Expand
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