Nonlinear squeezing of superpositions of quadrature eigenstates

Fuente: arXiv
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Main Authors: Kuchař, Vojtěch, Marek, Petr
Format: Preprint
Published: 2025
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author Kuchař, Vojtěch
Marek, Petr
author_facet Kuchař, Vojtěch
Marek, Petr
contents We introduce a family of operators exploiting the symmetry of superpositions of quadrature eigenstates (SQE) and demonstrate how the associated nonlinear squeezing, quantified by the expectation value of such operators, serves both as a witness of non-Gaussianity and as an indicator of the quality of SQE approximations. To establish the usefulness of this measure, we connect it to quantum state fidelity and evaluate its implications in breeding protocols. Finally, we construct optimal approximations of SQE states in truncated Fock spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17437
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlinear squeezing of superpositions of quadrature eigenstates
Kuchař, Vojtěch
Marek, Petr
Quantum Physics
We introduce a family of operators exploiting the symmetry of superpositions of quadrature eigenstates (SQE) and demonstrate how the associated nonlinear squeezing, quantified by the expectation value of such operators, serves both as a witness of non-Gaussianity and as an indicator of the quality of SQE approximations. To establish the usefulness of this measure, we connect it to quantum state fidelity and evaluate its implications in breeding protocols. Finally, we construct optimal approximations of SQE states in truncated Fock spaces.
title Nonlinear squeezing of superpositions of quadrature eigenstates
topic Quantum Physics
url https://arxiv.org/abs/2506.17437