4 papers
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,…
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…
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…
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.…