Bananaworld : quantum mechanics for primates Nobody understands quantum mechanics Qubits Bananaworld Really random The big picture Quantum magic Quantum secrets Quantum feats Why the quantum Making sense of it all Supplement: Some mathematical machinery. Diracs ingenious idea ; The Pauli operators ; The Born rule ; Noncommutativity and uncertainty ; Entanglement ; Quantum dynamics ; Relative phase ; Informationally complete observables ; The biorthogonal decomposition theorem ; States and operators as matrices ; Mixed states