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October 16, 2025Open Access

Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement

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Efficient classical simulations for clifford and matchgate circuits are achieved using the quon classical simulation framework.
The framework addresses a critical question on unifying efficient classical simulations, using topological features like magic holes.
Clifford circuits and matchgate circuits demonstrate no magic holes, allowing for efficient computation without long-range entanglement.
Two parallel operations contribute to these efficiencies, featuring surgery theory of 3-manifolds and Yang-Baxter relations.

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New framework reveals efficient classical simulations for clifford and matchgate circuits, highlighting topological features.

Feng et al. (2025) studied this question.

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