Complete State Reconstruction of a Two-Mode Gaussian State via Local Operations and Classical Communication

TL;DR

This paper introduces a local quantum tomography method for two-mode Gaussian states, enabling complete state reconstruction using only local measurements and classical communication, avoiding simultaneous joint measurements.

Contribution

It presents a novel protocol for reconstructing bipartite Gaussian states through local operations, differing from prior methods requiring joint measurements.

Findings

Successful local reconstruction of two-mode Gaussian states.

Protocol applicable to entangled and non-entangled states.

Avoids the need for simultaneous homodyne measurements.

Abstract

We propose a strictly local quantum tomography protocol for a bipartite system. We show that the joint density matrix of an arbitrary two-mode Gaussian state, entangled or not, is obtained via local operations and classical communication only. In contrast to previous proposals, simultaneous homodyne measurements (HM) on both modes are replaced by local homodyne detections and a set of local projective measurements.