In the past 20 years, impressive progress has been made both experimentally and
theoretically in superconducting quantum circuits, which provide a platform for manipulating …

Using a well-controlled quantum system to simulate complex quantum matter is an idea that
has been around for 30 years and put into practice in systems of ultracold atoms for more …

A topologically ordered material is characterized by a rare quantum organization of
electrons that evades the conventional spontaneously broken symmetry–based …

Topological insulators are a new class of insulators in which a bulk gap for electronic
excitations is generated because of the strong spin–orbit coupling,,,, inherent to these …

Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

This tutorial aims at giving an introductory treatment of the circuit analysis of
superconducting qubits, ie, two-level systems in superconducting circuits. It also touches …

Because of its geometric nature, holonomic quantum computation is fault tolerant against
certain types of control errors. Although proposed more than a decade ago, the experimental …

The geometric aspects of quantum mechanics are emphasized most prominently by the
concept of geometric phases, which are acquired whenever a quantum system evolves …

The observation of the quantum states of motion of a macroscopic mechanical structure
remains an open challenge in quantum-state preparation and measurement. One approach …

Using geometric phases to realize noise-resilient quantum computing is an important
method to enhance the control fidelity. In this work, we experimentally realize a universal …