Madalin Gu??, Jonas Kahn, Richard Küng, Joel A. Tropp,
"Fast state tomography with optimal error bounds"
, in Journal of Physics A: Mathematical and Theoretical, Vol. 53, Nummer 20, IOP Publishing, 2020, ISSN: 1751-8113
Original Titel:
Fast state tomography with optimal error bounds
Sprache des Titels:
Englisch
Original Kurzfassung:
Projected least squares is an intuitive and numerically cheap technique for quantum state tomography: compute the least-squares estimator and project it onto the space of states. The main result of this paper equips this point estimator with rigorous, non-asymptotic convergence guarantees expressed in terms of the trace distance. The estimator?s sample complexity is comparable to the strongest convergence guarantees available in the literature and?in the case of the uniform POVM?saturates fundamental lower bounds. Numerical simulations support these competitive features.
Sprache der Kurzfassung:
Englisch
Journal:
Journal of Physics A: Mathematical and Theoretical