QuAlg -- A symbolic algebra package for quantum information

TL;DR

QuAlg is an open-source symbolic algebra software designed for quantum information, capable of handling various quantum states, operators, and symbolic expressions, with automatic simplification and integration features.

Contribution

It introduces QuAlg, a novel symbolic algebra package that supports complex quantum states, operators, and transformations across different Hilbert spaces.

Findings

Supports qubit, qudit, and wave-function states

Allows symbolic manipulation and automatic simplification

Enables defining and applying arbitrary operators

Abstract

We introduce QuAlg, an open-source symbolic algebra package for quantum information. QuAlg supports working with qubit-states, qudit-states, fock-states and even wave-functions in infinite dimenional Hilbert spaces. States can have amplitudes which are pure complex numbers or more complicated symbolic expressions involving for example delta-distributions. These symbolic expressions can be automatically simplified and integrated. Furthermore, arbitrary operators can be defined, even transformations between different Hilbert spaces. Operators can be applied to states or used to defined measurement operators.