QUANTUM: A Wolfram Mathematica add-on for Dirac Bra-Ket Notation, Non-Commutative Algebra, and Simulation of Quantum Computing Circuits

Quantum Fest 2015

Muñoz, J. L. Gómez^1 ; Delgado, F.^1

Departamento de Física y Matemáticas, Escuela de Diseño, Ingeniería y Arquitectura, Tecnológico de Monterrey, Campus Estado de México, Atizapán, Estado de México

CP. 52926, Mexico^1

关键词: Hamilton dynamics;    Heisenberg equation;    Input and outputs;    Mathematica;    Non-commutative algebra;    Quantum Computing;    Quantum computing circuits;    Quantum random walks;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/698/1/012019/pdf
DOI  :  10.1088/1742-6596/698/1/012019

来源: IOP

【 摘 要 】

This 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.