The development of quantum computing across several technologies and platforms has
reached the point of having an advantage over classical computers for an artificial problem …

In this short review article, we aim to provide physicists not working within the quantum
computing community a hopefully easy-to-read introduction to the state of the art in the field …

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 …

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

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

We describe quantum circuits with only O~(N) Toffoli complexity that block encode the
spectra of quantum chemistry Hamiltonians in a basis of N arbitrary (eg, molecular) orbitals …

The quantum computation of electronic energies can break the curse of dimensionality that
plagues many-particle quantum mechanics. It is for this reason that a universal quantum …

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 …

Quantum computing has rapidly advanced in recent years due to substantial development in
both hardware and algorithms. These advances are carrying quantum computers closer to …