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 …

The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

Scaling up to a large number of qubits with high-precision control is essential in the
demonstrations of quantum computational advantage to exponentially outpace the classical …

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 …

The promise of quantum computers is that certain computational tasks might be executed
exponentially faster on a quantum processor than on a classical processor 1. A fundamental …

Practical quantum computing will require error rates well below those achievable with
physical qubits. Quantum error correction, offers a path to algorithmically relevant error rates …

Gate-model quantum computers promise to solve currently intractable computational
problems if they can be operated at scale with long coherence times and high-fidelity logic …

Here we summarize recent progress in machine learning for the chemical sciences. We
outline machine-learning techniques that are suitable for addressing research questions in …

Superconducting qubits are leading candidates in the race to build a quantum computer
capable of realizing computations beyond the reach of modern supercomputers. The …

Quantum computers can be used to address electronic-structure problems and problems in
materials science and condensed matter physics that can be formulated as interacting …