GaTech-qec-Spring24

Quantum Error Correction Project for GT Quantum Computing Association Fall 2023 This will be the repository where we store all code examples and code for the implementation, simulation, and final hardware ready code for our QECCs. The end goal of this project is to run the $[[7,1,3]]$ code on Quantinuum's H1-1 QC and observe a logical fidelity increase in the encoded qubit.

Resources

These are the papers, tutorials and other resources we have used in the making of this project. These resources are also very useful for those looking to learn about both the theory and practical implementation of quantum error correction.

General theory and Implementations

• Realization of Real-Time Fault-Tolerant Quantum Error Correction -- Quantinuum PRX21 ⭐⭐⭐⭐⭐
• Implementing Fault-tolerant Entangling Gates on the Five-qubit Code and the Color Code -- Quantinuum ⭐⭐⭐⭐⭐
• Fault-tolerant quantum error correction for Steane’s seven-qubit color code with few or no extra qubits ⭐⭐⭐⭐⭐
• Fault-tolerant operation of a logical qubit in a diamond quantum processor
• Realizing repeated quantum error correction in a distance-three surface code
• A Tutorial on Quantum Error Correction -- Andrew M. Steane ⭐⭐⭐
• A bird's-eye view of quantum error correction and fault tolerance
• Error correction slide from UCR
• Reliable quantum computers -- Preskill
• https://courses.cs.washington.edu/courses/cse599d/06wi/lecturenotes18.pdf
• http://theory.caltech.edu/~preskill/ph229/notes/chap7.pdf

Hardware Evaluation and Benchmarking

• IBM Paper on Fidelity and Quantum State Tomography
• Quantum Computations on a Topologically encoded qubit⭐

Encoding

• How to implement the Circuit of Steane's code for Quantum Error Correction?

Syndrome

Decoding

• Decoders for Topological Quantum Error Correction

Related GitHub Repo

• https://github.com/KnightShuffler/Steane-Code-in-Qiskit/blob/main/task2.ipynb
• https://github.com/goldsmdn/Pipecleaning_test/blob/main/Steane_code_old.ipynb
• https://abdullahkhalid.com/qecft/introduction/book/