From the 1 of 5 linked papers with an AI index.
5 papers
An HHL-Based Quantum-Classical Solver for the Incompressible Navier-Stokes Equations with Approximate QST
Moshe Inger, Steven Frankel
The paper integrates the Harrow‑Hassidim‑Lloyd quantum linear solver with a discretized incompressible Navier‑Stokes formulation and uses an approximate quantum state tomography me…
Mutually unbiased bases as extremal probes of isotropic random Hamiltonians
Abed Semre, Steven Frankel
Finite structured sets are frequently used to probe high-dimensional energy landscapes, yet their extreme-value performance depends on correlations between sampled energies rather…
From quasigeodesic to pseudo-Anosov flows
Steven Frankel, Michael Landry
We prove Calegari's conjecture that every quasigeodesic flow on a closed hyperbolic 3-manifold can be deformed to a flow that is simultaneously quasigeodesic and pseudo-Anosov.
Virtual Qudits for Simon's Problem: Dimension-Lifted Algorithms on Qubit Hardware
Abed Semre, Steven Frankel
Simon's problem admits an exponential quantum speedup, but current quantum devices support only qubits. This work introduces a general construction for simulating qudit versions of…
Quantum Unitary Matrix Representation of Lattice Boltzmann Model for Low Reynolds Fluid Flow Simulation
E. Dinesh Kumar, Steven H. Frankel
We propose a quantum algorithm for the Lattice Boltzmann (LB) method to simulate fluid flows in the low Reynolds number regime. First, we encode the particle distribution functions…