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Practical Quantum Circuit Implementation for Simulating Coupled Classical Oscillators
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DOI：10.1109/ACCESS.2025.3551308.png)
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Abstract
En 中文
Simulating large-scale coupled-oscillator systems presents substantial computational challenges for classical algorithms, particularly when pursuing first-principles analyses in the thermodynamic limit. Motivated by the quantum algorithm framework proposed by Babbush et al. (2023), we present and implement a detailed quantum circuit construction for simulating one-dimensional spring-mass systems. Our approach incorporates key quantum subroutines, including block encoding, quantum singular value transformation (QSVT), and amplitude amplification, to realize the unitary time-evolution operator associated with simulating classical oscillators dynamics. In the uniform mass-spring setting, our circuit construction requires a gate complexity of O(log(2)(2)Nlog(2)(1/epsilon)) , where N is the number of oscillators and epsilon is the target accuracy of the approximation. For more general, heterogeneous mass-spring systems, the total gate complexity is O(Nlog(2)Nlog(2)(1/epsilon)) . Both settings require O(log(2)N) qubits. Numerical simulations agree with classical solvers across all tested configurations, indicating that this circuit-based Hamiltonian simulation approach can substantially reduce computational costs and potentially enable larger-scale many-body studies on future quantum hardware.
Keywords:
Oscillators
Encoding
Springs
Mathematical models
Qubit
Quantum circuit
Quantum algorithm
Logic gates
Boundary conditions
Vectors
Many-body simulation
coupled classical oscillators
quantum algorithm
quantum circuit
block encoding
quantum singular value transformation
Journal
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3.6
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9.8W
Citations:
29.4W