# 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

#### 5 Citations

Data-driven inference of physical devices: theory and implementation

- Computer Science, Physics
- New Journal of Physics
- 2019

It is shown that, even without any knowledge about the tomographic apparatus, it is still possible to infer the unknown device to a high degree of precision, solely relying on the observed data. Expand

Algebraic and Statistical ways into Quantum Resource Theories

- 2019

Quantum information science is one of the most active, intellectually stimulating, and technologically promising areas in science. It offers a unique opportunity to engage in a wide variety of… Expand

Experimental Self-Characterization of Quantum Measurements.

- Physics, Computer Science
- Physical review letters
- 2020

This work reports a self-characterization method of quantum measurements based on reconstructing the response range-the entirety of attainable measurement outcomes, eliminating the reliance on known states. Expand

Extension of the Alberti-Ulhmann criterion beyond qubit dichotomies

- Computer Science, Mathematics
- Quantum
- 2020

The Alberti-Ulhmann criterion is generalized to the case of arbitrary number of qubit or qutrit states and an analogous result is derived for the cases of qu bit orqutrit measurements with arbitrarily number of elements. Expand

qu an tph ] 1 3 M ay 2 01 9 Data-driven inference and observational completeness of quantum devices

- 2019

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