Publication Type : Journal Article
Campus : Faridabad
School : School of Artificial Intelligence
Year : 2025
Abstract :
We propose a taxonomy for quantum algorithms grounded in the fundamental symmetries—both continuous and discrete—underlying quantum state spaces, oracles, and circuit dynamics. By organizing algorithms according to their symmetry groups and invariants, we define distinct algorithm classes whose behavior, verification, and complexity can be characterized by the symmetries they preserve or exploit. This symmetry-centric classification not only reflects the deep connection between symmetries and conservation laws in physics, but also yields practical benefits for scalable and reliable quantum computation.
Cite this Research Publication : Kumar, Sakshi; Chilkoti, Sumit; and Guha Majumdar, Mrittunjoy (2025). A Symmetry-Based Taxonomy of Quantum Algorithms. arXiv preprint arXiv:2508.09236.