5 papers · 1 filter
Exponentially Fast Solution State Preparation for the Heat Equation and its use for Option Pricing
Gumaro Rendon, Stepan Smid, Sarvagya Upadhyay
In this work, we present the methods necessary to price an important set of derivatives on a quantum device while offering an advantage over existing classical methods. The methods…
Preconditioned Multivariate Quantum Solution Extraction
Gumaro Rendon, Stepan Smid
Numerically solving partial differential equations is a ubiquitous computational task with broad applications in many fields of science. Quantum computers can potentially provide h…
Polynomial Time Quantum Gibbs Sampling for Fermi-Hubbard Model at any Temperature
Å tÄpán Å mÃd, Richard Meister, Mario Berta +1
Recently, there have been several advancements in quantum algorithms for Gibbs sampling. These algorithms simulate the dynamics generated by an artificial Lindbladian, which is met…
Efficient Learning of Long-Range and Equivariant Quantum Systems
Å tÄpán Å mÃd, Roberto Bondesan
In this work, we consider a fundamental task in quantum many-body physics - finding and learning ground states of quantum Hamiltonians and their properties. Recent works have studi…
Accurate Learning of Equivariant Quantum Systems from a Single Ground State
Å tÄpán Å mÃd, Roberto Bondesan
Predicting properties across system parameters is an important task in quantum physics, with applications ranging from molecular dynamics to variational quantum algorithms. Recentl…