[DEMO]Matrix multiplication with compressed gadget

[sassan72]

General information

Sasan Moradi
Sasan Moradi (or username).

Affiliation (optional)
University of Vienna, if applicable; e.g. University, research institute, company.

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Your Twitter username, if interested; helps us advertise your demo while linking directly back to you.

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Demo information

Matrix multiplication with compressed gadget
The title of your demo.

Abstract
Quantum computers can perform matrix-matrix multiplication using methods like the duplicate ancilla qubits technique, which requires a linear increase in ancilla qubits and swap gates with the number of multiplications, making it inefficient for non-unitary matrices. An alternative, more efficient approach is the compression gadget, which needs only a logarithmic number of additional ancilla qubits.

Relevant links
https://github.com/sassan72/Matrix-Multiplication

[CatalinaAlbornoz]

Thanks for opening this issue! Could you please take a look at the Community Demo guidelines and add anything you might be missing? For example it's important to have a README in the repository and add explanation to your notebook so that people can understand what's going on in the code. You can take inspiration from the way PennyLane demos are written! This will make it much more usable for others in the future.

[sassan72]

Thanks Catalina. I will do it.

[sassan72]

I uploaded a PDF file which explain the method of compressed gadget.

[CatalinaAlbornoz]

The pdf was a great idea @sassan72 !

In addition to the pdf it's important that the README mentions what the code is (1-2 lines at least), what libraries are used, and what versions of the libraries you used.

Please also make sure to include comments and explanations in your code. The goal is that your reader can independently use and understand your work. Note that in Jupyter notebooks you can add text cells. This can be a great way to add explanations.