3 citations · 4 across the 7 of their papers we have counts for
7 papers
Rand-SEMI-QAOA: Finite-Budget Depth-One MaxCut Ensembles on Compressed Quantum Registers
Emilio Semre, Steven Frankel
We introduce Rand-SEMI-QAOA, a finite-budget QRAO--QAOA ensemble for MaxCut based on a -QRAC relaxation. The method samples labels uniformly without replacement from the pro…
Mutually unbiased bases as extremal probes of isotropic random Hamiltonians
Emilio Semre, Steven Frankel
Mutually unbiased bases (MUBs) are central finite structures in quantum information. We ask whether complete MUB systems have an extremal probing property beyond their projective \…
An HHL-Based Quantum-Classical Solver for the Incompressible Navier-Stokes Equations with Approximate QST
Moshe Inger, Steven Frankel
In computational fluid dynamics (CFD), the numerical integration of the Navier-Stokes equations is frequently constrained by the Poisson equation to determine the pressure. Discret…
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…
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.
Decomposition of Nonlinear Collision Operator in Quantum Lattice Boltzmann Algorithm
Dinesh Kumar E, Steven H. Frankel
We propose a quantum algorithm to tackle the quadratic nonlinearity in the Lattice Boltzmann (LB) collision operator. The key idea is to build the quantum gates based on the partic…
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…