3 papers
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
Explicit Block Encodings of Discrete Laplacians with Mixed Boundary Conditions
Alexandre Boutot, Viraj Dsouza
Discrete Laplacian operators arise ubiquitously in scientific computing and frequently appear in quantum algorithms for tasks such as linear algebra, Hamiltonian simulation, and pa…
quant-ph2026
Quantum Simulation of Coupled Harmonic Oscillators: From Theory to Implementation
Viraj Dsouza, Weronika Golletz, Dimitrios Kranas +3
We investigate the quantum algorithm of Babbush et al. (arXiv:2303.13012v3) for simulating coupled harmonic oscillators, which promises exponential speedups over classical methods.…