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Author

Mostafa Atallah

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Preprint Sep 2026

Simplification Rules for Continuous-Time Quantum Walks on Dynamic Graphs

Continuous-time quantum walks (CTQWs) on dynamic graphs realize quantum gates as sequences of time-evolving graph Hamiltonians, but naive constructions produce long sequences with redundancy. Simplification rules, which are graph rewrite rules that shorten a dynamic graph sequence while preserving the unitary it implem...

Mostafa Atallah, D. Dilley, Jishnu Mahmud et al. · 0 citations
Preprint Aug 2026

Predicting Resource Efficient Hamiltonian Decomposition for Continuous-Time Quantum Walk Simulations

Simulating a continuous-time quantum walk (CTQW) on a graph in the circuit model of quantum computing requires decomposing its Hamiltonian into terms that can be Trotterized into hardware-native gates. We consider two such decompositions: the standard Pauli decomposition and the recently introduced matching decompositi...

Mostafa Atallah, Rebekah Herrman, Zain Saleem · 0 citations

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