Extending scientific computing system with structural quantum programming capabilities

TL;DR

This paper introduces a high-level quantum programming framework integrated into GNU Octave, enabling simulation of quantum algorithms with error modeling, bridging quantum programming and scientific computing.

Contribution

It presents a novel quantum programming package for GNU Octave that combines high-level quantum language features with scientific computing capabilities.

Findings

Implementation of quantum algorithms in quantum-octave

Simulation of quantum errors using density matrices

Integration of quantum programming with scientific computing routines

Abstract

We present a basic high-level structures used for developing quantum programming languages. The presented structures are commonly used in many existing quantum programming languages and we use quantum pseudo-code based on QCL quantum programming language to describe them. We also present the implementation of introduced structures in GNU Octave language for scientific computing. Procedures used in the implementation are available as a package quantum-octave, providing a library of functions, which facilitates the simulation of quantum computing. This package allows also to incorporate high-level programming concepts into the simulation in GNU Octave and Matlab. As such it connects features unique for high-level quantum programming languages, with the full palette of efficient computational routines commonly available in modern scientific computing systems. To present the major features of the described package we provide the implementation of selected quantum algorithms. We also show how quantum errors can be taken into account during the simulation of quantum algorithms using quantum-octave package. This is possible thanks to the ability to operate on density matrices.