Measurement of spatial qubits

TL;DR

This paper demonstrates how quantum tomography can be used to determine the state of two spatial qubits through free evolution and post-selection, enabling accurate reconstruction of their density matrices.

Contribution

It introduces a method for state determination of spatial qubits using quantum tomography based on free evolution and post-selection, which was not previously established.

Findings

Successful theoretical reconstruction of density matrices

Method applicable to composite spatial qubits

Provides a basis for experimental state determination

Abstract

In this paper we study the state determination for composite systems of two spatial qubits. We show, theoretically, that one can use the technique of quantum tomography to reconstruct the density matrixes of these systems. This tomographic reconstruction is based on the free evolution of the spatial qubits and a postelection process.