Research more on ARKS representation

[Siddharthgolecha]

Description

This project aims to research further the ARKS representation. ARKS (pronounced "ARCS" ) is a new way of representing Quantum states that allows us to visualize different forms for more than one qudit and quantum entanglement. The ARKS is a graph-based representation. It was conceptualized and formulated during QHack 2023 by team Qschrodinger010. To read more about ARKS representation, please refer here[Link].

The project aims to research further into the applications of the ARKS representation including the measurement of entanglement and evolution of the state by application of unitaries.

Deliverables

• A white paper or an article explaining everything about the ARKS representation and its application.
• Software Implementation with the capability to convert existing visualization to ARKS and vice versa.

Mentors details

• Mentor 1

  • Name: James Weaver
  • GitHub ID: @JavaFXpert
  • What they do: Quantum Developer Advocate at IBM

• Mentor 2

  • Name: Lia Yeh
  • GitHub ID: @lia-approves
  • What they do: PhD student at the Department of Computer Science, University of Oxford, and Research Engineer at Quantinuum

Number of mentees

4

Mentees

• Mentee 1
  • Name : Siddharth Golecha
  • GitHub ID: @Siddharthgolecha
  • What they do: Software Engineer at miniOrange Inc.
• Mentee 2
  • Name : Ritu Thombre
  • GitHub ID: @ritu-thombre99
  • What they do: Technology Analyst at Citi
• Mentee 3
  • Name : Khadija Challaouy
  • GitHub ID: @Qcatty
  • What they do: Research at QWorld
• Mentee 4
  • Name : Ayushi Dubal
  • GitHub ID: @ayushidubal
  • What they do: Bachelors in CSE at BITS Pilani, Goa

[lia-approves]

@GemmaDawson

[GemmaDawson]

@JavaFXpert - please add a comment so that I may assign this issue to you. TY 😊

[ritu-thombre99]

@GemmaDawson please assign me as well to this issue

[Siddharthgolecha]

Hey @GemmaDawson , I have updated the mentee details and mentor details in the description along with the deliverables. All of the team members from Qshrodinger010 are returning back to work on this 🤩

[JavaFXpert]

Hi @GemmaDawson

[GemmaDawson]

@ayushidubal & @Qcatty - please add a comment so that I may assign this issue to you :soil

[ayushidubal]

Hi @GemmaDawson! Please assign me to this issue.

[Qcatty]

Hi @GemmaDawson,
please assign me to this issue!

[ritu-thombre99]

Checkpoint 2 updates:

1. Improving ARKS representation to help software engineers with the specific problems they face during representation of Quantum Computing. Concepts like visualization of quantum entanglement, state phase, etc. are difficult for software engineers, and ARKS representation helps in better visualization as well as understanding.
2. Adding cross visualization conversions. We are working on a code which can take existing qiskit visualizations such as bloch sphere, bloch multi-sphere, Q-sphere, state hinton plot, etc and convert them to ARKS representation. This will also work the other way around i.e. converting ARKS to existing qiskit visualizations
3. Entanglement classification: This remains one of the NP-hard problem and research has been carried to propose ways to classify entanglements. We explored various research papers focusing on entanglement classification. We found the following two papers which we are planning to incorporate in our ARKS representation.
   a. Stochastic Local Operations with Classical Communication of Absolutely Maximally Entangled States for the classification of multipartite states (https://arxiv.org/pdf/2003.13639.pdf)
   b. Entanglement classification with matrix product states (https://www.nature.com/articles/srep30188)
4. Entanglement Verification: Apart from that we are also planning to use this qiskit tutorial Entanglement Verification (https://qiskit.org/documentation/stable/0.28/tutorials/noise/9_entanglement_verification.html) which can help us in adding features to represent entanglement strength.
   These additions of entanglement classification and entanglement verification will make ARKS even more elaborate and informative, which will be useful for researchers.

[Siddharthgolecha]

CheckPoint 1 file:

https://colab.research.google.com/drive/14t6sOwrk9H8IsZ9GeR28BypQtVF3ie43?usp=sharing

[Siddharthgolecha]

CheckPoint 3 Presentation:

https://docs.google.com/presentation/d/1ixBSYy8mJ0KMmJXQmYPMQjg28VrGO0DBhO_bLD8rblI/edit?usp=sharing