/Quantum-walks

In this repository, you will find MATLAB codes that generate probability distributions of a quantum walk. Specifically, I am uploading MATLAB codes for simulating a quantum walk on a line without decoherence, a quantum walk on a line under decoherence, and a classical random walk on a line.

Primary LanguageMATLAB

Quantum walk (QW) is the quantum analog of the classical random walk (CRW). QW is an integral part of the development of numerous quantum algorithms. Hence, an in-depth understanding of QW helps us grasp quantum algorithms. In this repository, three MATLAB codes are provided that generate the probability distribution of a CRW, QW, and QW under decoherence.

For further insights into the mathematical background that serve as the foundation for the MATLAB codes, you are encouraged to consult the document titled 'Explanation.pdf'.