Quantum computers have the potential to solve certain problems dramatically faster than is possible with classical computers. We are funded by the DOE Quantum Algorithms Teams program to explore the abilities of quantum computers in three interrelated areas: quantum simulation, optimization, and machine learning. We leverage connections among these areas and unearth deeper ones to fuel new applications of quantum information processing to science and technology.

## Quantum simulation

Quantum computers offer a natural approach to efficiently simulating the dynamics of quantum systems, a widely applicable problem that is intractable for classical computers. We aim to develop quantum algorithms for quantum simulation with improved performance and expanded scope. We also work extensively on applying quantum computation to problems in high-energy physics, where much work remains to develop simulations of general field theories.

## Optimization

We seek to understand how quantum resources may be used to improve the quality of solutions over those produced by classical algorithms. We devise new quantum algorithms for approximating classical discrete optimization problems and ground states of physically motivated quantum Hamiltonians. Our approach is naturally amenable to a hybrid quantum/classical implementation.

## Machine learning

By bringing together experts in classical machine learning and quantum computing, we aim to develop novel quantum machine learning algorithms with the potential for practical impact. We investigate quantum algorithms for decomposing tensors, which are ubiquitous in machine learning. We also expore generalizations of previous work on applications of Gibbs sampling to learning and quantum algorithms for learning from structured data.