Description
The aim of this project is to create a comprehensive tutorial on Two Qubit Decomposition by applying the KAK decomposition method and Weyl Chamber analysis in the context of quantum computing.
The KAK decomposition method is a powerful tool for breaking down any two-qubit quantum gate into a combination of simpler gates that are easier to implement on quantum hardware. This tutorial will cover the theory behind KAK decomposition, as well as step-by-step instructions for how to apply it to any two-qubit gate.
In addition to the KAK decomposition method, this tutorial will also cover the Weyl Chamber analysis. The Weyl Chamber is a geometric representation of all possible two-qubit gates, and understanding it can help researchers and practitioners in quantum computing to identify the best gate sequences for achieving a desired transformation.
I already got the bulk of the KAK decomposition, now I want to understand the derivation of the Weyl chamber from this paper.
Deliverables
At the end of the project, I aim to create a comprehensive tutorial showing the step-by-step imlementation of KAK on two qubits and bringing the canonical parameters to the Weyl chamber.
The deliverable will be a jupyter notebook, or maybe a page in the qiskit textbook, that walks the reader through the nitty gritty of Lie algebra and how that leads to the above results.
Mentors details
Mentor 1:
Number of mentees
1
Type of mentees
I will be continue building on parts of the tutorial I already built for KAK.
GitHub: Minh Pham
Description
The aim of this project is to create a comprehensive tutorial on Two Qubit Decomposition by applying the KAK decomposition method and Weyl Chamber analysis in the context of quantum computing.
The KAK decomposition method is a powerful tool for breaking down any two-qubit quantum gate into a combination of simpler gates that are easier to implement on quantum hardware. This tutorial will cover the theory behind KAK decomposition, as well as step-by-step instructions for how to apply it to any two-qubit gate.
In addition to the KAK decomposition method, this tutorial will also cover the Weyl Chamber analysis. The Weyl Chamber is a geometric representation of all possible two-qubit gates, and understanding it can help researchers and practitioners in quantum computing to identify the best gate sequences for achieving a desired transformation.
I already got the bulk of the KAK decomposition, now I want to understand the derivation of the Weyl chamber from this paper.
Deliverables
At the end of the project, I aim to create a comprehensive tutorial showing the step-by-step imlementation of KAK on two qubits and bringing the canonical parameters to the Weyl chamber.
The deliverable will be a jupyter notebook, or maybe a page in the qiskit textbook, that walks the reader through the nitty gritty of Lie algebra and how that leads to the above results.
Mentors details
Mentor 1:
Number of mentees
1
Type of mentees
I will be continue building on parts of the tutorial I already built for KAK.
GitHub: Minh Pham