REVIEW 2 cited by
Carleman-Grad approach to the quantum simulation of fluids
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We discuss the Carleman linearization approach to the quantum simulation of classical fluids based on Grad's generalized hydrodynamics and compare it to previous investigations based on lattice Boltzmann and Navier-Stokes formulations. We show that the Carleman-Grad procedure exhibits intermediate properties between the two. Namely, convergence of the Carleman iteration over a few tens of timesteps and a potentially viable quantum circuit implementation using quantum linear algebra solvers. However, both features still need substantial improvements to yield a viable quantum algorithm for fluid flows.
Forward citations
Cited by 2 Pith papers
-
Quantum algorithm for solving nonlinear differential equations based on physics-informed effective Hamiltonians
Differential equations are solved on a quantum computer by preparing the ground state of a Hamiltonian constructed from Chebyshev differential and data constraints, bypassing variational search.
-
Practical Application of the Quantum Carleman Lattice Boltzmann Method in Industrial CFD Simulations
A statevector-emulated HHL solver applied to Carleman-linearized lattice Boltzmann equations achieves about 10^-3 fidelity on tiny 2D benchmarks, but physical accuracy is dominated by the Carleman truncation error, no...
Discussion (0). Continue with ORCID to comment.