Compressive Direct Measurement of the Quantum Wave Function
Quantum Physics
2014-12-02 v3 Optics
Abstract
The direct measurement of a complex wavefunction has been recently realized by using weak-values. In this paper, we introduce a method that exploits sparsity for compressive measurement of the transverse spatial wavefunction of photons. The procedure involves a weak measurement in random projection operators in the spatial domain followed by a post-selection in the momentum basis. Using this method, we experimentally measure a 192-dimensional state with a fidelity of using only percent of the total required measurements. Furthermore, we demonstrate measurement of a 19200 dimensional state; a task that would require an unfeasibly large acquiring time with the conventional direct measurement technique.
Cite
@article{arxiv.1404.2680,
title = {Compressive Direct Measurement of the Quantum Wave Function},
author = {Mohammad Mirhosseini and Omar S. Magaña-Loaiza and Seyed Mohammad Hashemi Rafsanjani and Robert W. Boyd},
journal= {arXiv preprint arXiv:1404.2680},
year = {2014}
}