Trotterized Variational Quantum Control for Spin-Chain State Transfer
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909899755094016 |
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| author | Dehaghani, Nahid Binandeh Wisniewski, Rafal Aguiar, A. Pedro |
| author_facet | Dehaghani, Nahid Binandeh Wisniewski, Rafal Aguiar, A. Pedro |
| contents | We present a hybrid variational framework for quantum optimal control aimed at high-fidelity state transfer in spin chains. The system dynamics are discretized and compiled into a parameterized circuit, where deterministic two-qubit blocks implement the drift interactions, while trainable on-site RZ rotations encode the control inputs. We study two parameterizations: a compact global scheme with a small number of shared parameters per slice, and a local scheme with site-wise angles. Using a Sequential Least Squares Quadratic Programming (SLSQP) optimization to minimize infidelity, simulations on XXZ spin chains show that both parameterizations can achieve near-unit fidelities in the noiseless regime. Under depolarizing noise, the global scheme provides improved robustness for comparable circuit depth and iteration budgets. The results make explicit an expressivity-stability trade-off and suggest a scalable route to Noisy Intermediate-Scale Quantum (NISQ) compatible control synthesis. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_09684 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trotterized Variational Quantum Control for Spin-Chain State Transfer Dehaghani, Nahid Binandeh Wisniewski, Rafal Aguiar, A. Pedro Quantum Physics We present a hybrid variational framework for quantum optimal control aimed at high-fidelity state transfer in spin chains. The system dynamics are discretized and compiled into a parameterized circuit, where deterministic two-qubit blocks implement the drift interactions, while trainable on-site RZ rotations encode the control inputs. We study two parameterizations: a compact global scheme with a small number of shared parameters per slice, and a local scheme with site-wise angles. Using a Sequential Least Squares Quadratic Programming (SLSQP) optimization to minimize infidelity, simulations on XXZ spin chains show that both parameterizations can achieve near-unit fidelities in the noiseless regime. Under depolarizing noise, the global scheme provides improved robustness for comparable circuit depth and iteration budgets. The results make explicit an expressivity-stability trade-off and suggest a scalable route to Noisy Intermediate-Scale Quantum (NISQ) compatible control synthesis. |
| title | Trotterized Variational Quantum Control for Spin-Chain State Transfer |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.09684 |