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 …

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 …

For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …

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 …

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 …

Symmetry-protected topological (SPT) phases are many-body quantum states that are
topologically nontrivial as long as the relevant symmetries are unbroken. In this work we …

The current generation of noisy intermediate-scale quantum computers introduces new
opportunities to study quantum many-body systems. In this paper, we show that quantum …

The great promise of quantum computers comes with the dual challenges of building them
and finding their useful applications. We argue that these two challenges should be …

We consider the preparation of matrix product states (MPS) on quantum devices via
quantum circuits of local gates. We first prove that faithfully preparing translation-invariant …