Trotterized Variational Quantum Control for Spin-Chain State Transfer

• URL: http://arxiv.org/abs/2511.09684v1
• Date: Fri, 14 Nov 2025 01:04:11 GMT
• Title: Trotterized Variational Quantum Control for Spin-Chain State Transfer
• Authors: Nahid Binandeh Dehaghani, Rafal Wisniewski, A. Pedro Aguiar,
• Abstract summary: We present a hybrid variational framework for quantum optimal control aimed at high-fidelity state transfer in spin chains.<n>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.<n>The results make explicit an expressivity-stability trade-off and suggest a scalable route to Noisy Intermediate-Scale Quantum (NISQ) compatible control synthesis.
• Score: 2.033424698590539
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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