Quantum computing with Rydberg atom graphs

In recent years, Rydberg atom graphs, which are the arrangement of atoms of which the interaction through Rydberg state excitation can be represented by a mathematical graph, have emerged as a promising qubit platform for quantum computing and quantum simulation, through implementing quantum gates and circuits, probing quantum phase transitions in designed atom arrays, and solving the classically difficult class of computational problems. Here we briefly review the remarkable progress of the related techniques and research activities involved with the Rydberg atom graphs. The ease of scalability and controllability of Rydberg atom graphs might enable the quantum advantage in the NISQ (noisy intermediate scale quantum) era.