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Graph theory-based automated quantum algorithm for efficient querying of acyclic and multiloop causal configurations

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arxiv 2508.04019 v2 pith:CGOIA35E submitted 2025-08-06 quant-ph hep-phhep-th

Graph theory-based automated quantum algorithm for efficient querying of acyclic and multiloop causal configurations

classification quant-ph hep-phhep-th
keywords quantumalgorithmcausalgraphacyclicautomatedcircuitconfigurations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum algorithms provide a promising framework in high-energy physics, in particular, for unraveling the causal configurations of multiloop Feynman diagrams by identifying Feynman propagators with qubits, a challenge analogous to querying directed acyclic graphs in graph theory. In this paper, we present the Minimum Clique-optimised quantum Algorithm (MCA), an automated quantum algorithm designed to efficiently query the causal structures within the Loop-Tree Duality. The MCA quantum algorithm is optimised by exploiting graph theory techniques, specifically, by analogy with the Minimum Clique Partition problem. The evaluation of the MCA quantum algorithm is exhibited by analysing the transpiled quantum circuit depth and quantum circuit area.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Overview of Applications of Quantum Computing in QCD

    hep-ph 2026-07 accept novelty 2.0

    A concise literature overview of quantum algorithms for QCD and collider tasks, stressing possible advantages over classical methods and NISQ hardware limits.