Computing Rigid Body Rotations with Qiskit

[dsierrasosa]

Description

This project aims to study the feasibility of using current Quantum Computing devices to implement a method to compute the Euler-Rodrigues Parameters (ERP). These parameters allow for defining a transformation matrix to calculate rigid body rotations, useful for applications in computer vision, mechanical simulations, among others. The implementation must take into account the limitations imposed by current quantum devices, exploring the potential benefits from developing a quantum computing method for this mathematical model.

To approaches will be considered to define the rigid body rotations, one rely on the generation of a circuit to rotate the a 3-dimesional datapoints; the second one will be focused on finding the rotation matrix by and optimization schema.

Mentor/s

Daniel Sierra-Sosa (@dsierrasosa), Assistant Professor

Type of participant

Person familiar with Linear Algebra

Number of participants

1-2

Deliverable

Formal description and analysis, Journal manuscript draft

[leo07010]

This topic is very interesting. I have always wanted to use quantum computing to solve mechanics problems.

[gunchamalik]

I haven't been in touch with Linear Algebra post college, but brushed up the knowledge a but while studying for Qiskit Developer Certification. I am not to what extent this project will require knowledge on Linear Algebra. I will be interested in learning and contributing to this project, if possible.

[dsierrasosa]

We can review and study Linear Algebra as needed!

[dsierrasosa]

This topic is very interesting. I have always wanted to use quantum computing to solve mechanics problems.

Awesome!!

[gunchamalik]

@dsierrasosa Great! I will be happy to learn and contribute.

[leo07010]

Although I am only a high school student (maybe the youngest), I really hope to participate in this interesting research with you

[epelaaez]

This is a very interesting proposal! Would the implementation pursued in this research be theoretical or directly in Qiskit? What I mean is if the research would be oriented directly to the Qiskit platform or more from a platform-agnostic perspective? Either way, this sounds really good and I'd love to contribute.

[dsierrasosa]

Although I am only a high school student (maybe the youngest), I really hope to participate in this interesting research with you

Sounds great, let's meet at some point this week, I would like to know your expectations!

[dsierrasosa]

This is a very interesting proposal! Would the implementation pursued in this research be theoretical or directly in Qiskit? What I mean is if the research would be oriented directly to the Qiskit platform or more from a platform-agnostic perspective? Either way, this sounds really good and I'd love to contribute.

In principle the outcome should be agnostic to any platform, nonetheless, we will use Qiskit for any implementation and examples.

[HitanshuGedam]

I'm also a high school student. I do have a strong math background and I'm interested to learn and contribute towards this project as much as I can

[dsierrasosa]

I'm also a high school student. I do have a strong math background and I'm interested to learn and contribute towards this project as much as I can

Awesome!

[singhmeet11]

Wow! This would be a really good problem to solve using Quantum Computers. Considering that we are considering vector spaces and we can easily implement matrices on vectors because that is what we are required to do. Can we somehow use Quantum Machine Learning to make this project more generalised and better. Like maybe a generalised function which will rotate a vector about any axis.

[shil-m]

This is indeed very interesting. I remember studying ERP in my Mathematical Physics course. It would be exciting to work on this project.

[HuangJunye]

@string137 @anda-creator @abzsd, can you please comment in the issue so that I can assign you?

[String137]

Here.

[HuangJunye]

@dsierrasosa If this is going to two separate projects, can you please ask create a new issue and tag the mentees separately? Thanks a lot.

[AnDa-creator]

Here

[abzsd]

Here

[singhmeet11]

@HuangJunye Really really sorry but I accidentally unassigned myself from the issue. Can you please assign me again?

[HuangJunye]

No problem :) Done!

[dsierrasosa]

Presentation for checkpoint (2-4 EDT Session) #7 Computing Rigid Body Rotations with Qiskit.pdf 1

[anamariarojas123]

@abzsd @AnDa-creator @epelaaez @String137 @singhmeet11 Please submit materials for checkpoint 2. :)

[epelaaez]

QAMP 2021 second checkpoint: circuit approach.

Here is the first part of the checkpoint, which talks about the circuit approach we are developing.

[singhmeet11]

Here is the second part of the checkpoint, which talks about the variational approach we are developing.

QAMP 2021 second checkpoint: Variational Approach.pdf

[epelaaez]

The Jupyter notebook that will serve as presentation for the circuit approach in the final checkpoint of the QAMP can be found here.

[singhmeet11]

The jupyter notebook which will be used for presentation for the variational approach in the final checkpoint of the QAMP can be found here.