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 …

Several quantum hardware platforms, while being unable to perform fully fault-tolerant
quantum computation, can still be operated as analogue quantum simulators for addressing …

The physical properties of a quantum many-body system in thermal equilibrium are
determined by its partition function and free energy. Here we study the computational …

We address the long-standing question of the computational complexity of determining
homology groups of simplicial complexes, a fundamental task in computational topology …

Finding the ground-state energy of electrons subject to an external electric field is a
fundamental problem in computational chemistry. While the theory of QMA-completeness …

Estimating the ground state energy of a local Hamiltonian is a central problem in quantum
chemistry. In order to further investigate its complexity and the potential of quantum …

Quantum hardware has the potential to efficiently solve computationally difficult problems in
physics and chemistry to reap enormous practical rewards. Analogue quantum simulation …

We propose and study a specific adiabatic path to prepare those tensor network states that
are unique ground states of few-body parent Hamiltonians in finite lattices, which include …

The partition function and free energy of a quantum many-body system determine its
physical properties in thermal equilibrium. Here we study the computational complexity of …

Unravelling the source of quantum computing power has been a major goal in the field of
quantum information science. In recent years, the quantum resource theory (QRT) has been …