  We review two algorithmic advances that bring us closer to reliable quantum
simulations of model systems in high energy physics and beyond on noisy
intermediate-scale quantum (NISQ) devices. The first method is the dimensional
expressivity analysis of quantum circuits, which allows for constructing
minimal but maximally expressive quantum circuits. The second method is an
efficient mitigation of readout errors on quantum devices. Both methods can
lead to significant improvements in quantum simulations, e.g., when variational
quantum eigensolvers are used.

Quantum Physics;High Energy Physics - Lattice