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Predicting Resource Efficient Hamiltonian Decomposition for Continuous-Time Quantum Walk Simulations
Mostafa Atallah, Rebekah Herrman, Zain H. Saleem
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 h…
Layer-wise QUBO-Based Training of CNN Classifiers for Quantum Annealing
Mostafa Atallah, Rebekah Herrman
Variational quantum circuits for image classification suffer from barren plateaus, while quantum kernel methods scale quadratically with dataset size. We propose an iterative frame…
A matching decomposition algorithm for simulating quantum walk Hamiltonians
Mostafa Atallah, Alvin Gonzales, Daniel Dilley +3
In this work, we present a new algorithm for generating quantum circuits that efficiently implement continuous time quantum walks on arbitrary simple sparse graphs. The algorithm,…