Self-consistent phase determination for Wigner function reconstruction

TL;DR

This paper demonstrates a method for reconstructing the Wigner function of a classical phase-sensitive state using photon detection and phase measurements, enabling detailed quantum state analysis.

Contribution

It introduces a self-consistent phase determination technique for Wigner function reconstruction with a hybrid photodetector.

Findings

Successfully reconstructed the Wigner function of a pulsed coherent state.

Used a hybrid photodetector operating above photon-resolving regime.

Achieved phase-sensitive state analysis with photon detection.

Abstract

We present the reconstruction of the Wigner function of a classical phase-sensitive state, a pulsed coherent state, by measurements of the distributions of detected-photons of the state displaced by a coherent probe field. By using a hybrid photodetector operated above its photon-resolving regime, we obtained both the statistics at different values of the probe field and the values of the probe phase required to reconstruct the Wigner function.