7 citations · 18 across the 8 of their papers we have counts for
8 papers
A priori Assessment of Tensor-Network Encoding for Isotropic Turbulent Flows
Massen Esmaeili, Hirad Alipanah, Robert Pinkston +5
Tensor networks (TNs), originally developed for simulating many-body quantum systems, provide a systematic framework for approximating high-dimensional fields. This is achieved by…
When AI meets quantum information: A comprehensive review
Min Chen, Yu Gan, Xin Jin +15
Artificial intelligence (AI) and quantum information (QI) are rapidly co-evolving. AI is becoming a practical tool for learning, designing, controlling, and verifying quantum syste…
Solving the Peierls-Boltzmann transport equation with matrix product states
Sangyeop Lee, Hirad Alipanah, Juan José Mendoza-Arenas
The Peierls-Boltzmann transport equation (PBE), which governs non-equilibrium phonon transport, suffers from the curse of dimensionality due to its high-dimensional phase space inc…
Provably Efficient Quantum Algorithms for Solving Nonlinear Differential Equations Using Multiple Bosonic Modes Coupled with Qubits
Yu Gan, Hirad Alipanah, Jinglei Cheng +7
Quantum computers have long been expected to efficiently solve complex classical differential equations. Most digital, fault-tolerant approaches use Carleman linearization to map n…
Simulating Quantum Turbulence with Matrix Product States
Felipe Gómez-Lozada, Nicolas Perico-García, Nikita Gourianov +2
Quantum turbulence spans length scales from the system size to the healing length , making direct numerical simulations (DNS) of the Gross-Pitaevskii (GP) equation computati…
Quantum Dynamics Simulation of the Advection-Diffusion Equation
Hirad Alipanah, Feng Zhang, Yongxin Yao +6
The advection-diffusion equation is simulated on a superconducting quantum computer via several quantum algorithms. Three formulations are considered: (1) Trotterization, (2) varia…