Applications such as simulating complicated quantum systems or solving large-scale linear
algebra problems are very challenging for classical computers, owing to the extremely high …

A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …

Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

Suppressing noise in physical systems is of fundamental importance. As quantum
computers mature, quantum error correcting codes (QECs) will be adopted in order to …

As quantum processors grow in complexity, attention is moving to the scaling prospects of
the entire quantum computing system, including the classical support hardware. Recent …

The famous, yet unsolved, Fermi-Hubbard model for strongly-correlated electronic systems
is a prominent target for quantum computers. However, accurately representing the Fermi …

The Fermi-Hubbard model is of fundamental importance in condensed-matter physics, yet is
extremely challenging to solve numerically. Finding the ground state of the Hubbard model …

Numerous reports claim that quantum advantage, which should emerge as a direct
consequence of the advent of quantum computers, will herald a new era of chemical …