Comparison of Controlled-Z operation and beam-splitter transformation for generation of squeezed Fock states by measurement

TL;DR

This paper compares the effectiveness of controlled-Z operations and beam-splitter transformations in generating squeezed Fock states through photon subtraction, analyzing resource costs and robustness to experimental imperfections.

Contribution

It provides a comparative analysis of two entanglement transformation methods for state generation, including resource evaluation and impact of realistic experimental conditions.

Findings

Controlled-Z and beam-splitter methods have different resource requirements.

Photon loss and detector imperfections significantly affect state quality.

The study offers insights into optimizing non-Gaussian state generation protocols.

Abstract

The generation of squeezed Fock states by the one or more photon subtraction from a two-mode entangled Gaussian state using a beam splitter and a controlled-Z operation is addressed. From two different perspectives, we analyzed two entanglement transformations in the protocol. We evaluated the energy costs and resource requirements of the analyzed schemes. Furthermore, we studied the impact of experimental imperfections on the non-Gaussian states generated by measuring the number of particles. We explored the effects of photon loss and imperfect detectors on the squeezed Fock state generation protocol.