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Quantum Motional State Tomography with Non-Quadratic Potentials and Neural Networks

2019/06/30 by Talitha Weiss, Oriol Romero-Isart · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevresearch.1.033157

published as Phys. Rev. Research 1, 033157 (2019) · 5 pages (3 figures) + appendix: 6 pages (5 figures)

arxiv created 2019/12/10 · arxiv updated 2019/12/11

Abstract

We propose to use the complex quantum dynamics of a massive particle in a non-quadratic potential to reconstruct an initial unknown motional quantum state. We theoretically show that the reconstruction can be efficiently done by measuring the mean value and the variance of the position quantum operator at different instances of time in a quartic potential. We train a neural network to successfully solve this hard regression problem. We discuss the experimental feasibility of the method by analyzing the impact of decoherence and uncertainties in the potential.

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