System for quantum energy storage can include a quantum information engine including topological insulator having at least one edge. A coherence capacitor can include nuclei of atoms within the topological insulator, and each nucleus can have a spin direction. An energy source can be electrically connected to the topological insulator and configured to supply a current along the at least one edge of the topological insulator. The current can interact with at least one nucleus of the nuclei to flip a spin direction of the at least one nucleus. Methods for quantum energy storage, systems and methods for storing and using quantum energy, quantum information engines, and quantum heat engines are also disclosed.