Preparing squeezed, cat and GKP states with parity measurements

• URL: http://arxiv.org/abs/2602.08209v1
• Date: Mon, 09 Feb 2026 02:17:10 GMT
• Title: Preparing squeezed, cat and GKP states with parity measurements
• Authors: Zhiyuan Lin, Sen Li, Jingyan Feng, Valentin Ivannikov, Matteo Fadel, Tim Byrnes,
• Abstract summary: Bosonic modes provide long-lived degrees of freedom for storage, processing, and transduction of quantum information.<n>We propose a protocol based on displaced parity measurements that allows for the preparation of bosonic quantum states.<n>We demonstrate the generation of squeezed states, achieving up to 9 dB of squeezing after only three parity measurements.<n>We generalize our approach to the preparation of other paradigmatic bosonic states, including cat and Gottesman-Kitaev-Preskill states.
• Score: 4.477443541001011
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bosonic modes constitute a central resource in a wide range of quantum technologies, providing long-lived degrees of freedom for the storage, processing, and transduction of quantum information. Such modes naturally arise in platforms including circuit quantum electrodynamics, quantum acoustodynamics, and trapped-ion systems. In these architectures, coherent control and high-fidelity readout of the bosonic degrees of freedom are achieved via coupling to an auxiliary qubit. When operated in the strong dispersive regime, this interaction enables parity measurements of the mode which, in combination with phase-space displacements, constitute a standard experimental tool for full Wigner-function tomography. Here, we propose a protocol based on displaced parity measurements that allows for the preparation of a variety of bosonic quantum states. As a first example, we demonstrate the generation of squeezed states, achieving up to ~9 dB of squeezing after only three parity measurements, and show that the protocol is robust against experimental imperfections. Finally, we generalize our approach to the preparation of other paradigmatic bosonic states, including cat and Gottesman-Kitaev-Preskill states.

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