The quest for quantum computers, which may revolutionize today's technology, seeks to exploit the sublime strangeness of the quantum theory which completely eludes our intuition. Of various proposals, the one based on the exotic Majorana particles, which are neither bosons nor fermions but obey non-Abelian statistics, has been adapted by Microsoft Corporation as its quantum computing platform.  I will explain its advantages/disadvantages from a practical perspective, and will discuss the current status of the search for non-Abelian Majorana zero modes and topological superconductivity in solid state systems, from both experimental and theoretical perspectives.  Many new concepts will be discussed at a level that should be understandable to someone familiar with basic quantum mechanics.