Robust Quantum State Generation in Symmetric Spin Networks
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912683472715776 |
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| author | de Lima, Andre Luiz P. Baker, Luke S. Zlotnik, Anatoly Harter, Andrew K. Martin, Michael J. Li, Jr-Shin |
| author_facet | de Lima, Andre Luiz P. Baker, Luke S. Zlotnik, Anatoly Harter, Andrew K. Martin, Michael J. Li, Jr-Shin |
| contents | In this work, we consider a parameterized Ising model with long-range symmetric pairwise interactions on a network of spin $\frac{1}{2}$ particles. The system is designed with symmetric dynamics, allowing for the reduction of the state space to a subspace defined by the set of Dicke states. We propose a method for designing robust electromagnetic amplitude pulses based on a moment quantization approach. The introduced parameter accounts for uncertainties in the electromagnetic field, resulting in a family of distinct Hamiltonians. By employing a discretized moment-based quantization technique, we design a control pulse capable of simultaneously steering an infinite collection of dynamical systems to compensate for parameter variations. This approach benefits from the duality between the infinite-dimensional parameterized system and its finite-dimensional trucnated moment dynamics. Simulation results demonstrate the efficacy of this method in achieving states of significant interest in quantum sensing, including the GHZ and W states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01085 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust Quantum State Generation in Symmetric Spin Networks de Lima, Andre Luiz P. Baker, Luke S. Zlotnik, Anatoly Harter, Andrew K. Martin, Michael J. Li, Jr-Shin Quantum Physics Mathematical Physics 81Q93 In this work, we consider a parameterized Ising model with long-range symmetric pairwise interactions on a network of spin $\frac{1}{2}$ particles. The system is designed with symmetric dynamics, allowing for the reduction of the state space to a subspace defined by the set of Dicke states. We propose a method for designing robust electromagnetic amplitude pulses based on a moment quantization approach. The introduced parameter accounts for uncertainties in the electromagnetic field, resulting in a family of distinct Hamiltonians. By employing a discretized moment-based quantization technique, we design a control pulse capable of simultaneously steering an infinite collection of dynamical systems to compensate for parameter variations. This approach benefits from the duality between the infinite-dimensional parameterized system and its finite-dimensional trucnated moment dynamics. Simulation results demonstrate the efficacy of this method in achieving states of significant interest in quantum sensing, including the GHZ and W states. |
| title | Robust Quantum State Generation in Symmetric Spin Networks |
| topic | Quantum Physics Mathematical Physics 81Q93 |
| url | https://arxiv.org/abs/2511.01085 |