2018-10-182018-10-181742658810.1088/1742-6596/698/1/012019http://hdl.handle.net/11285/630547This paper introduces QUANTUM, a free library of commands of Wolfram Mathematica that can be used to perform calculations directly in Dirac braket and operator notation. Its development started several years ago, in order to study quantum random walks. Later, many other features were included, like operator and commutator algebra, simulation and graphing of quantum computing circuits, generation and solution of Heisenberg equations of motion, among others. To the best of our knowledge, QUANTUM remains a unique tool in its use of Dirac notation, because it is used both in the input and output of the calculations. This work depicts its usage and features in Quantum Computing and Quantum Hamilton Dynamics. © Published under licence by IOP Publishing Ltd.info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0AlgebraEquations of motionQuantum computersReconfigurable hardwareTungstenHamilton dynamicsHeisenberg equationInput and outputsMathematicaNon-commutative algebraQuantum ComputingQuantum computing circuitsQuantum random walksComputer circuits7 INGENIERÍA Y TECNOLOGÍAConferencia6981