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PauliEngine: High-Performant Symbolic Arithmetic for Quantum Operations

Quantum Physics 2026-05-13 v1 Emerging Technologies Software Engineering Computational Physics

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.

Keywords

Cite

@article{arxiv.2601.02233,
  title  = {PauliEngine: High-Performant Symbolic Arithmetic for Quantum Operations},
  author = {Leon Müller and Adelina Bärligea and Alexander Knapp and Jakob S. Kottmann},
  journal= {arXiv preprint arXiv:2601.02233},
  year   = {2026}
}
R2 v1 2026-07-01T08:51:05.458Z