From the 1 of 11 linked papers with an AI index.
11 papers
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…
Moment-Structured Block Encodings of Periodic Finite-Difference Operators
Jishnu Mahmud, Rebekah Herrman
The paper presents a framework for constructing optimal block encodings of translation‑invariant finite‑difference operators on periodic grids, linking stencil moment order to the…
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,…
Partitioned-Constraint QAOA (PC-QAOA): Structural State Preparation and Penalty Enforcement for Quantum Optimization
Anthony Wilkie, Alexander DeLise, Andrew Del Real +2
Constrained combinatorial optimization remains challenging for quantum algorithms because feasibility must be explicitly enforced, typically through penalty terms or problem-specif…
Explicit Block Encoding of Difference-of-Gaussian Operators on a Periodic Grid
Jishnu Mahmud, John Winship, Tom Lash +2
The Difference-of-Gaussian (DoG) is a widely used operator across applications, including image processing (feature and edge detection), quantum machine learning, and finite-differ…
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…