6 papers
Quantum algorithm for differential equations via permutation matrix representation with application to the Burgers equation
Hriday Sabharwal, Amir Kalev, Itay Hen
We develop a quantum algorithm for solving the dynamics of the nonlinear viscous Burgers equation. We apply the Carleman linearization procedure on the spatially discretized equati…
Planted-Solution Pauli Hamiltonians as a Quantum Benchmarking Primitive
Amir Kalev, Itay Hen
We introduce a construction of Pauli Hamiltonians with exactly known ground-state energies, intended as reference instances for ground-state energy estimation algorithms. The const…
Accounting for gauge symmetries in CHSH experiments
David H. Oaknin, Amir Kalev, Itay Hen
We re-examine the CHSH experiment, which we abstract here as a multi-round game played between two parties with each party reporting a single binary outcome at each round. We explo…
A simple quantum simulation algorithm with near-optimal precision scaling
Amir Kalev, Itay Hen
Quantum simulation is a foundational application for quantum computers, projected to offer insights into complex quantum systems beyond the reach of classical computation. However,…
Prospects for NMR Spectral Prediction on Fault-Tolerant Quantum Computers
Justin E. Elenewski, Christina M. Camara, Amir Kalev
Advanced atomic magnetometers have made it possible to acquire nuclear magnetic resonance spectra in zero to ultralow magnetic fields. This regime carries the benefit of compact, l…
Feynman path integrals for discrete-variable systems: Walks on Hamiltonian graphs
Amir Kalev, Itay Hen
We propose a natural, parameter-free, discrete-variable formulation of Feynman path integrals. We show that for discrete-variable quantum systems, Feynman path integrals take the f…