Experimental quantum process tomography of non trace-preserving maps

TL;DR

This paper develops a quantum process tomography method for non trace-preserving maps, introducing an operator to quantify success probability and analyzing the approximation of such processes by trace-preserving maps.

Contribution

It presents a novel QPT approach for non trace-preserving maps and introduces an operator to characterize success probability, advancing quantum process characterization.

Findings

Operator $ ext{ extbf{O}}$ quantifies process success probability.

Method effectively reconstructs non trace-preserving quantum maps.

Analysis of approximating non trace-preserving maps with trace-preserving ones.

Abstract

The ability of fully reconstructing quantum maps is a fundamental task of quantum information, in particular when coupling with the environment and experimental imperfections of devices are taken into account. In this context we carry out a quantum process tomography (QPT) approach for a set of non trace-preserving maps. We introduce an operator $\OO$ to characterize the state dependent probability of success for the process under investigation. We also evaluate the result of approximating the process with a trace-preserving one.