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 …

Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

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 …

Many experimental proposals for noisy intermediate scale quantum devices involve training
a parameterized quantum circuit with a classical optimization loop. Such hybrid quantum …

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

The simulation of fermionic systems is among the most anticipated applications of quantum
computing. We performed several quantum simulations of chemistry with up to one dozen …

As we begin to reach the limits of classical computing, quantum computing has emerged as
a technology that has captured the imagination of the scientific world. While for many years …

The Lie-Trotter formula, together with its higher-order generalizations, provides a direct
approach to decomposing the exponential of a sum of operators. Despite significant effort …

Quantum-classical hybrid algorithms are emerging as promising candidates for near-term
practical applications of quantum information processors in a wide variety of fields ranging …

Universal fault-tolerant quantum computers will require error-free execution of long
sequences of quantum gate operations, which is expected to involve millions of physical …