Deterministic preparation of squeezed and non-Gaussian states in coupled qubit-boson systems
Abstract
Deterministic preparation of bosonic resource states is a central task in continuous-variable quantum information processing and quantum metrology. Here we develop a measurement-based imaginary time evolution (MITE) protocol for preparing squeezed and non-Gaussian states. The protocol combines ancilla-mediated weak measurements of the Hamiltonian with a conditional phase rotation that suppresses excited state trapping and stabilizes convergence toward the ground state. The method is potentially applicable in hybrid discrete variable-continuous variable (DV-CV) platforms, where the qubit acts as the measurement readout. We demonstrate deterministic convergence over a broad range of parameters and show that the performance degradation near the stability boundary is governed by the shrinking Bogoliubov quasiparticle gap. The same framework also extends to non-Gaussian bosonic resource states, including Schrödinger cat states and excited states of the single-mode squeezing Hamiltonian, which display Wigner negativity. The squeezed states remain robust under bosonic loss over experimentally relevant regimes.
Related
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BibTeX
@misc{zhang2026deterministic,
title = {{Deterministic preparation of squeezed and non-Gaussian states in coupled qubit-boson systems}},
author = {Fengquan Zhang and Xiaotong Liu and Yuping Mao and Zhiyuan Lin and Tim Byrnes},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.16207},
eprint = {2610.16207},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.16207},
}
RIS
TY - UNPB
TI - Deterministic preparation of squeezed and non-Gaussian states in coupled qubit-boson systems
AU - Fengquan Zhang
AU - Xiaotong Liu
AU - Yuping Mao
AU - Zhiyuan Lin
AU - Tim Byrnes
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.16207
UR - https://arxiv.org/abs/2610.16207
AB - Deterministic preparation of bosonic resource states is a central task in continuous-variable quantum information processing and quantum metrology. Here we develop a measurement-based imaginary time evolution (MITE) protocol for preparing squeezed and non-Gaussian states. The protocol combines ancilla-mediated weak measurements of the Hamiltonian with a conditional phase rotation that suppresses excited state trapping and stabilizes convergence toward the ground state. The method is potentially applicable in hybrid discrete variable-continuous variable (DV-CV) platforms, where the qubit acts as the measurement readout. We demonstrate deterministic convergence over a broad range of parameters and show that the performance degradation near the stability boundary is governed by the shrinking Bogoliubov quasiparticle gap. The same framework also extends to non-Gaussian bosonic resource states, including Schrödinger cat states and excited states of the single-mode squeezing Hamiltonian, which display Wigner negativity. The squeezed states remain robust under bosonic loss over experimentally relevant regimes.
ER -