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quant-ph2026
The Quantum Character Transform
Kagwe A. Muchane
Bastidas et al. (2025) highlighted the importance of exploiting group symmetries to reduce computational overhead and unify simulation methods across both condensed matter physics…
quant-ph2026
Quantum algorithm for Clifford multiplication
Kagwe A. Muchane
Given two dense multivectors of the Clifford algebra with coefficients, the fastest known classical algorithms compute their geometric product in $O(N^{ω/…
quant-ph2025
The State-Operator Clifford Compatibility: A Real Algebraic Framework for Quantum Information
Kagwe A. Muchane
We revisit the Pauli-Clifford connection to introduce a real, grade-preserving algebraic framework for -qubit quantum computation based on the tensor product $C\ell_{2,0}(\mathb…