Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …

We discuss designer Hamiltonians—lattice models tailored to be free from sign problems
(“de-signed”) when simulated with quantum Monte Carlo (QMC) methods but which still host …

These lecture notes introduce quantum spin systems and several computational methods for
studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and …

The observation of an unequivocal quantum speedup remains an elusive objective for
quantum computing. A more modest goal is to demonstrate a scaling advantage over a class …

We present large-scale quantum Monte Carlo simulation results on a realistic Hamiltonian of
kagome-lattice Rydberg atom arrays. Although the system has no intrinsic disorder …

The behavior of the ground-state fidelity susceptibility in the vicinity of a quantum critical
point is investigated. We derive scaling relations describing its singular behavior in the …

Quantum metrology fundamentally relies upon the efficient management of quantum
uncertainties. We show that under equilibrium conditions the management of quantum noise …

We propose to use Ramsey interferometry and single-site addressability, available in
synthetic matter such as cold atoms or trapped ions, to measure real-space and time …

Programmable quantum devices are now able to probe wave functions at unprecedented
levels. This is based on the ability to project the many-body state of atom and qubit arrays …

Motivated by recent experimental realizations of exotic phases of matter on programmable
quantum simulators, we carry out a comprehensive theoretical study of quantum phase …