October 16, 2025Open Access

Cutoff Theorems for the Equivalence of Parameterized Quantum Circuits (Extended)

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The validity of optimized parameterized quantum circuits is essential for efficient quantum algorithms.
A cutoff-based procedure simplifies the verification of parameterized quantum circuits to finite equivalence checking.
The proposed algorithm remains effective even when the number of parameters becomes intractably large.
Techniques extend to equivalence modulo global phase, enhancing robustness in quantum circuit verification.

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This paper demonstrates a cutoff-based method for validating parameterized quantum circuits, suggesting improvements in equivalence methodologies.

Ross et al. (2025) studied this question.

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This paper demonstrates a cutoff-based method for validating parameterized quantum circuits, suggesting improvements in equivalence methodologies.