Quantum state tomography with quantum shotnoise

TL;DR

This paper introduces a method for quantum state tomography in mesoscopic conductors using current and shotnoise measurements, enabling complete reconstruction of one- and two-particle orbital quantum states.

Contribution

It presents a novel scheme that directly relates measurable electrical quantities to the elements of the quantum state's density matrix.

Findings

The method allows full reconstruction of quantum states from current and shotnoise data.

It demonstrates the feasibility of quantum state tomography in mesoscopic electronic systems.

The approach simplifies quantum state analysis by using accessible electrical measurements.

Abstract

We propose a scheme for a complete reconstruction of one- and two-particle orbital quantum states in mesoscopic conductors. The conductor in the transport state continuously emits orbital quantum states. The orbital states are manipulated by electronic beamsplitters and detected by measurements of average currents and zero frequency current shotnoise correlators. We show how, by a suitable complete set of measurements, the elements of the density matrices of the one- and two-particle states can be directly expressed in terms of the currents and current correlators.