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Preprint Aug 2026

Matrix Product Evolution: A Method for Simulating Quantum Circuits Using Tensor Networks

This work introduces Matrix Product Evolution (MPE), a tensor-train representation of quantum circuits constructed along the circuit depth rather than along the qubit index, and develops an efficient contraction strategy based on a zip-up procedure to carry out this contraction in practice.

Haruyuki Kawabe, Minoru Nagai, Tsuyoshi Okubo et al. · 0 citations