PennyLaneAI/qml

[DEMO] Qutrits and the Deutsch-Jozsa Algorithm

goel-67 opened this issue · 8 comments

General information

Name
Dr. Hadiseh Alaeian (Project Supervisor), Lakshay Goel, Kovid Tandon, Anderson Xu, Yi Lin Yang

Affiliation (optional)
Purdue University

Twitter (optional)

Image (optional)
Suggested image to use when advertising your demo on Twitter; can be provided via hyperlink or by copy/pasting directly in GitHub.


Demo information

Title
Qutrits and the Deutsch-Jozsa Algorithm

Abstract
This research project explores the extension of the Deutsch-Jozsa algorithm from qubits to qutrits within the realm of quantum computing. Leveraging the unique properties of qutrits—quantum systems capable of existing in three distinct states simultaneously—we investigate whether the standard implementation of the algorithm remains effective in this higher-dimensional context. By redesigning fundamental quantum gates and reconstructing the quantum circuit tailored to accommodate qutrits' distinctive characteristics, we aim to unravel insights into how this foundational algorithm behaves within a more complex quantum system. This study contributes to advancing the understanding and utilization of qutrit-based quantum computing, potentially paving the way for implementing more sophisticated algorithms and applications in quantum information processing. Additionally, it opens avenues for exploring the Deutsch-Jozsa algorithm with arbitrary qudits, expanding the scope of quantum algorithm design.

Relevant links
https://github.com/goel-67/Qutrits-and-the-Deutsch-Jozsa-Algorithm/blob/main/DJ_qutrits.ipynb
https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=2b8bbd69f4e682f6ce6ea7597961d26c5441f287
https://pennylane.ai/qml/demos/tutorial_qutrits_bernstein_vazirani/
https://github.com/filipecorrea/deutsch-jozsa/blob/master/deutsch-jozsa.ipynb
https://en.wikipedia.org/wiki/Deutsch%E2%80%93Jozsa_algorithm
https://www.iosrjournals.org/iosr-jap/papers/Vol10-issue6/Version-2/D1006021619.pdf

Awesome, Great job team!
I'll work on adding it to the website

Thanks for citing the Bernstein–Vazirani demo, I hope you found it useful 😉

Congrats on the community demo, @goel-67 , very cool!

It's now live on the website here, and if you keep an eye on the PennyLane social media around 15 May, you'll see it mentioned, as well.

Updating here to say that this was completed last week, @goel-67 ! ☺

Hi @goel-67 , this is just a quick follow-up to ask if your team (and supervisor) would like to approve our Marketing Team to tag your LinkedIn accounts (1, 2, 3, 4, 5) and the group website in a social media post.

Would this be alright? Thanks!