This is a contributed entry in progress on quantum concepts and quantum theories.

1 Index of Quantum Theories

1.1 Fundamental Concepts

observable, operators, Quantum States, Entanglement, Schrödinger and Heisenberg equations, quantum state space, Hilbert space, von Neumann algebra, C*-algebra, Hamiltonian operator, Hermitian operators, unitary operators, representations, quantum groups, quantum groupoids, quantum algebroids, Hamiltonian algebroids.

1.2 Quantum Mechanics

1.3 Quantum Algebraic Topology

1.4 Quantum Field theories

1.5 Quantum Chromodynamics

1.6 Quantum Gravity

1.7 Quantum Geometry