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The synthesis of quantum circuits from phase gadgets in the ZX-calculusfacilitates quantum circuit optimization. Our work provides an alternativeformulation for the architecture-aware synthesis algorithm of PauliOpt byreplacing the stochastic approach of PauliOpt with a heuristic based search andutilizes a divide and conquer method to synthesize an optimized circuit from aZX polynomial. We provide a comparison of our algorithm with PauliOpt and otherstate-of-the-art optimization libraries. While we note poorer performance forhighly structured circuits, as in the QAOA formulation for Max-Cut, wedemonstrate a significant advantage for randomized circuits, which highlightsthe advantages of utilizing an architecture-aware methodology.

A recursively partitioned approach to architecture-aware ZX Polynomial synthesis and optimization