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quant-ph2026
Maximum-Likelihood Amplitude Estimation for Quantum Monte Carlo Integration on Trapped-Ion Hardware: Convergence, Noise-Floor Saturation, Depth-Dependent Bias
Aditi Lal, Alex Khan, Rut Lineswala +1
Quantum Amplitude Estimation promises to accelerate Monte Carlo integration by replacing the classical sampling law with the Heisenberg-limited $\var…
quant-ph2026
Measurement and reload costs in direct quantum simulation of nonlinear waves
Ziqing Guo, Viraj Dsouza, Alex Khan +3
Quantum processors encode an N-point field in log_2(N) qubits, which renders nonlinear wave equations an important application for quantum simulation. Nonlinear evolution, however,…
quant-ph2026
Variational Quantum Linear Solver via Block Encoding for the Poisson Equation
Viraj Dsouza, Ayush Singhal, Alex Khan +2
We present a variational quantum linear solver (VQLS) for the Poisson equation built on an exact block encoding of the discrete Laplacian, and demonstrate its performance on physic…