Preparation of Multimode NOON States via Floquet-Engineered Conditional Chiral Excitation
Abstract
The NOON states possess Heisenberg-limited phase sensitivity and are crucial for quantum-enhanced metrology. In our work, we develop a Floquet-engineered conditional-routing framework in which a d-level quantum controller mediates the dynamics of d bosonic modes. For an arbitrary odd dimension d=2s+1, the d-level system can act as a ``quantum knob" by tuning its initial states to coherently control the direction of chiral excitation flow, such that different controller eigenstates generate distinct cyclic-routing branches of the bosonic excitations. By choosing s harmonics, we construct an exact qudit-controlled cyclic permutation and use it to formulate a general protocol for preparing odd-d-mode NOON states. The same framework also enables programmable complex amplitudes through appropriate preparation of the controller state. As concrete realizations, we show that the three-mode case requires only a single harmonic and exhibits two oppositely directed chiral branches together with a stationary branch, whereas the five-mode case requires two harmonics and both nearest- and next-nearest-neighbor chiral hoppings. Meanwhile, taking the three-mode realization as a representative example, we assess the influence of systematic imperfections and dissipation on the conditional-routing dynamics and identify parameter regimes in which the routing operation remains accurate. Our results establish a systematic Floquet construction for controllable chiral routing and multimode NOON-state generation in arbitrary odd-dimensional networks, with potential applications in quantum information processing and quantum metrology.
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BibTeX
@misc{li2026preparation,
title = {{Preparation of Multimode NOON States via Floquet-Engineered Conditional Chiral Excitation}},
author = {Mengxue Li and Bo Tian and H. Z. Shen and Haodi Liu and Gangcheng Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14524},
eprint = {2609.14524},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14524},
}
RIS
TY - UNPB
TI - Preparation of Multimode NOON States via Floquet-Engineered Conditional Chiral Excitation
AU - Mengxue Li
AU - Bo Tian
AU - H. Z. Shen
AU - Haodi Liu
AU - Gangcheng Wang
PY - 2026
DA - 2026/09/13
PB - arXiv
DO - 10.48550/arxiv.2609.14524
UR - https://arxiv.org/abs/2609.14524
AB - The NOON states possess Heisenberg-limited phase sensitivity and are crucial for quantum-enhanced metrology. In our work, we develop a Floquet-engineered conditional-routing framework in which a d-level quantum controller mediates the dynamics of d bosonic modes. For an arbitrary odd dimension d=2s+1, the d-level system can act as a ``quantum knob" by tuning its initial states to coherently control the direction of chiral excitation flow, such that different controller eigenstates generate distinct cyclic-routing branches of the bosonic excitations. By choosing s harmonics, we construct an exact qudit-controlled cyclic permutation and use it to formulate a general protocol for preparing odd-d-mode NOON states. The same framework also enables programmable complex amplitudes through appropriate preparation of the controller state. As concrete realizations, we show that the three-mode case requires only a single harmonic and exhibits two oppositely directed chiral branches together with a stationary branch, whereas the five-mode case requires two harmonics and both nearest- and next-nearest-neighbor chiral hoppings. Meanwhile, taking the three-mode realization as a representative example, we assess the influence of systematic imperfections and dissipation on the conditional-routing dynamics and identify parameter regimes in which the routing operation remains accurate. Our results establish a systematic Floquet construction for controllable chiral routing and multimode NOON-state generation in arbitrary odd-dimensional networks, with potential applications in quantum information processing and quantum metrology.
ER -