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

One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …

Hybrid quantum–classical systems make it possible to utilize existing quantum computers to
their fullest extent. Within this framework, parameterized quantum circuits can be regarded …

Previously proposed quantum algorithms for solving linear systems of equations cannot be
implemented in the near term due to the required circuit depth. Here, we propose a hybrid …

Recent advances in classical machine learning have shown that creating models with
inductive biases encoding the symmetries of a problem can greatly improve performance …

The calculation of excited state energies of electronic structure Hamiltonians has many
important applications, such as the calculation of optical spectra and reaction rates. While …

Contemporary quantum computers have relatively high levels of noise, making it difficult to
use them to perform useful calculations, even with a large number of qubits. Quantum error …

Compiling quantum algorithms for near-term quantum computers (accounting for
connectivity and native gate alphabets) is a major challenge that has received significant …

Nearly 30 years ago, two-photon interference was observed, marking the beginning of a
new quantum era. Indeed, two-photon interference has no classical analogue, giving it a …

The inevitable accumulation of errors in near-future quantum devices represents a key
obstacle in delivering practical quantum advantages, motivating the development of various …