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arXiv · 2601.02233

PauliEngine: High-Performant Symbolic Arithmetic for Quantum Operations

Leon Müller·Adelina Bärligea·Alexander Knapp·Jakob S. Kottmann
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Abstract

Quantum computation is inherently hybrid, and fast classical manipulation of qubit operators is necessary to ensure scalability in quantum software. We introduce PauliEngine, a high-performance C++ framework that provides efficient primitives for Pauli string multiplication, commutators, symbolic phase tracking, and structural transformations. Built on a binary symplectic representation and optimized bit-wise operations, PauliEngine supports both numerical and symbolic coefficients and is accessible through a Python interface. Runtime benchmarks demonstrate substantial speedups over state-of-the-art implementations. PauliEngine provides a scalable backend for operator-based quantum software tools and simulations.

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Leon Müller, Adelina Bärligea, Alexander Knapp, Jakob S. Kottmann. 2026-01-05. PauliEngine: High-Performant Symbolic Arithmetic for Quantum Operations. https://doi.org/10.18420/se2026-ws_20

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