Reconstruction of Markovian Master Equation parameters through symplectic tomography

TL;DR

This paper presents a quantum tomography-based method to efficiently reconstruct unknown parameters in Markovian master equations of open quantum systems using minimal measurements, facilitating experimental applications.

Contribution

It introduces a time-independent, measurement-efficient scheme for reconstructing master equation parameters from Gaussian states in open quantum systems.

Findings

Reconstruction requires at most ten measurements per tomogram.

The method is suitable for experimental implementation due to limited measurement requirements.

Applicable to a wide class of Markovian master equations.

Abstract

In open quantum systems, phenomenological master equations with unknown parameters are often introduced. Here we propose a time-independent procedure based on quantum tomography to reconstruct the potentially unknown parameters of a wide class of Markovian master equations. According to our scheme, the system under investigation is initially prepared in a Gaussian state. At an arbitrary time t, in order to retrieve the unknown coefficients one needs to measure only a finite number (ten at maximum) of points along three time-independent tomograms. Due to the limited amount of measurements required, we expect our proposal to be especially suitable for experimental implementations.