A Variational Surrogate Approach to Finite-Horizon Quantum Control via Hardware-Efficient Ansatz

• URL: http://arxiv.org/abs/2607.12802v1
• Date: Tue, 14 Jul 2026 14:17:02 GMT
• Title: A Variational Surrogate Approach to Finite-Horizon Quantum Control via Hardware-Efficient Ansatz
• Abstract summary: We present a variational quantum framework for finite-horizon quantum control based on hardware-efficient anstze.<n>The objective is to steer a quantum system from a given initial state to a desired target state over a fixed time horizon by minimizing a terminal cost defined in terms of state fidelity.
• Score: 2.033424698590539
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a variational quantum framework for finite-horizon quantum control based on hardware-efficient ansätze. The objective is to steer a quantum system from a given initial state to a desired target state over a fixed time horizon by minimizing a terminal cost defined in terms of state fidelity. Instead of explicitly synthesizing time-dependent control fields or enforcing Hamiltonian reachability constraints, the proposed method reformulates the control objective as a variational optimization problem in which a hardware-efficient parameterized quantum circuit provides a surrogate parameterization of the terminal evolution. The circuit consists of alternating layers of single-qubit rotations and entangling gates, whose parameters are optimized using classical routines to minimize the terminal infidelity. This formulation avoids reliance on problem-specific or physics-inspired ansätze, providing a flexible and implementation-friendly approach compatible with near-term quantum devices. Numerical experiments on multi-qubit state-transfer benchmarks demonstrate high-fidelity state transfer while highlighting the trade-off between ansatz expressivity, optimization complexity, and scalability with respect to system size and circuit depth.

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