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Bosonic Continuous Variable Quantum Computing

Shortcuts to adiabaticity, unexciting backgrounds, and reflectionless potentials

arXiv
Authors: Fernando C. Lombardo, Francisco D. Mazzitelli

Year

2026

Paper ID

3709

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

We analyze shortcuts to adiabaticity (STA) and their completions for the quantum harmonic oscillator (QHO) with time-dependent frequency, as well as for quantum field theory (QFT) in non-stationary backgrounds. We exploit the analogy with one-dimensional quantum mechanics, and the well known correspondence between Bogoliubov coefficients in the QHO and transmission/reflection amplitudes in scattering theory. Within this framework, STA protocols for the QHO are equivalent to transmission resonances, while STA in QFT with homogeneous backgrounds correspond to reflectionless potentials. Moreover, using the connection between particle creation and squeezed states, we show how STA completions can be understood in terms of the anti-squeezing operator.

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  • This paper contributes to the Bosonic & Continuous-Variable Quantum Computing research area in the Quantum Articles archive.
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  • We analyze shortcuts to adiabaticity (STA) and their completions for the quantum harmonic oscillator (QHO) with time-dependent frequency, as well as for quantum field theory...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.11256 [2] arXiv https://arxiv.org/abs/2601.11256 [3] Publisher https://arxiv.org/abs/2601.11256

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