6 papers
The generative quantum eigensolver (GQE) and its application for ground state search
Kouhei Nakaji, Lasse Bjørn Kristensen, Ryota Kemmoku +14
We introduce the generative quantum eigensolver (GQE), a new quantum computational framework that operates outside the variational quantum algorithm paradigm by applying classical…
Fast quantum algorithm for differential equations
Mohsen Bagherimehrab, Kouhei Nakaji, Nathan Wiebe +3
Partial differential equations (PDEs) are ubiquitous in science and engineering. Prior quantum algorithms for solving the system of linear algebraic equations obtained from discret…
Chemically Motivated Simulation Problems are Efficiently Solvable by a Quantum Computer
Philipp Schleich, Lasse Bjørn Kristensen, Jorge A. Campos Gonzalez Angulo +6
Simulating chemical systems is highly sought after and computationally challenging, as the number of degrees of freedom increases exponentially with the size of the system. Quantum…
Faster Algorithmic Quantum and Classical Simulations by Corrected Product Formulas
Mohsen Bagherimehrab, Luis Mantilla Calderon, Dominic W. Berry +6
Hamiltonian simulation using product formulas is arguably the most straightforward and practical approach for algorithmic simulation of a quantum system's dynamics on a quantum com…
qSWIFT: High-order randomized compiler for Hamiltonian simulation
Kouhei Nakaji, Mohsen Bagherimehrab, Alan Aspuru-Guzik
Hamiltonian simulation is known to be one of the fundamental building blocks of a variety of quantum algorithms such as its most immediate application, that of simulating many-body…
Efficient Quantum Algorithm for All Quantum Wavelet Transforms
Mohsen Bagherimehrab, Alan Aspuru-Guzik
Wavelet transforms are widely used in various fields of science and engineering as a mathematical tool with features that reveal information ignored by the Fourier transform. Unlik…