6 papers · 1 filter
von Neumann measurement and quantum phase estimation of block-encoded Hamiltonians
S. E. Skelton
We review how to use von Neumann's measurement procedure to estimate a phase, using an efficient Hamiltonian simulation subroutine acts on a block-encoded Hamiltonian. We show that…
Advantage of Warm Starts for Electron-Phonon Systems on Quantum Computers
Arnab Adhikary, S. E. Skelton, Alberto Nocera +1
Simulating electron-phonon interactions on quantum computers remains challenging, with most algorithmic effort focused on Hamiltonian simulation and circuit optimization. In this w…
Mostly Harmless Methods for QSP-Processing with Laurent Polynomials
S. E. Skelton
Quantum signal processing (QSP) and its extensions are increasingly popular frameworks for developing quantum algorithms. Yet QSP implementations still struggle to complete a class…
Prospects of Quantum Error Mitigation for Quantum Signal Processing
UgnÄ LiaubaitÄ, S. E. Skelton
Quantum error mitigation (QEM) protocols have provably exponential bounds on the cost scaling; however, exploring which regimes QEM can recover usable results is still of sizable i…
Beyond asymptotic scaling: Comparing functional quantum linear solvers
Andreea-Iulia Lefterovici, Michael Perk, Debora Ramacciotti +3
Solving systems of linear equations is a key subroutine in many quantum algorithms. In the last 15 years, many quantum linear solvers (QLS) have been developed, competing to achiev…
The Hitchhiker's Guide to QSP pre-processing
S. E. Skelton
Quantum signal processing (QSP) relies on a historically costly pre-processing step, "QSP-processing/phase-factor finding." QSP-processing is now a developed topic within quantum a…