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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2606.00607 |
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Table of Contents:
- We present a theoretical framework based on the $SU(3)$ group to construct synthetic three-level configurations from a two-qutrit system consisting of two three-level subsystems. Utilizing its underlying algebraic structure and a set of nine $SU(3)$ entangled states, we show that the system Hamiltonian can be mapped onto an effective synthetic three-level manifold without introducing Rydberg states. We investigate the entanglement dynamics of these synthetic configurations by introducing the $SU(3)$ I-concurrence and a generalized Wootters-type $SU(3)$ concurrence as quantitative measures of entanglement in such system.