Toolbox for continuous variable entanglement production and measurement using spontaneous parametric down conversion

TL;DR

This paper presents a comprehensive toolbox for engineering and characterizing continuous variable biphoton states generated via spontaneous parametric down conversion, emphasizing control through pump beam parameters.

Contribution

It introduces a method to manipulate biphoton states by controlling pump beam incidence, enabling arbitrary state engineering in frequency and time domains.

Findings

Control of pump beam parameters corresponds to phase space displacements.

Numerical simulations demonstrate state engineering in semiconductor devices.

The toolbox facilitates advanced quantum state manipulation and measurement.

Abstract

We provide a toolbox for continuous variables quantum state engineering and characterization of biphoton states produced by spontaneous parametric down conversion in a transverse pump configuration. We show that the control of the pump beam's incidence spot and angle corresponds to phase space displacements of conjugate collective continuous variables of the biphoton. In particular, we illustrate with numerical simulations on a semiconductor device how this technique can be used to engineer and characterize arbitrary states of the frequency and time degrees of freedom.