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 …

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 …

We present the problem of approximating the time-evolution operator $ e^{-i\hat {H} t} $ to
error $\epsilon $, where the Hamiltonian $\hat {H}=(\langle G|\otimes\hat {\mathcal {I}})\hat …

An n-qubit quantum circuit performs a unitary operation on an exponentially large, 2 n-
dimensional, Hilbert space, which is a major source of quantum speed-ups. We develop a …

The physics of quantum mechanics is the inspiration for, and underlies, quantum
computation. As such, one expects physical intuition to be highly influential in the …

With quantum computers of significant size now on the horizon, we should understand how
to best exploit their initially limited abilities. To this end, we aim to identify a practical problem …

Quantum machine learning is a rapidly growing field at the intersection of quantum
technology and artificial intelligence. This review provides a two-fold overview of several key …

Quantum computers are expected to surpass the computational capabilities of classical
computers during this decade and have transformative impact on numerous industry sectors …