For his seminal conceptual contributions on quantum Turing machine and quantum algorithms
For his groundbreaking theoretical work on factoring algorithm and quantum error correction
For their outstanding theoretical contributions that enabled the scalable implementations of quantum information processing such as quantum computation with trapped ions, quantum simulation with ultracold atoms, and quantum repeaters
For his pioneering experimental work on the realizations of quantum logic gates, multiparticle entanglement, quantum simulation, and quantum computing algorithms using trapped ions
For his groundbreaking experiments that opened the way to quantum computing and quantum metrology with trapped ions