Quantum Error Correction 

This study group aims to familiarize students with the basic methods and techniques of quantum error correction and mitigation

Topics (Each topic takes 3~4 weeks)

1. Quantum Operations and Noise

• Lecture: Intro to Quantum noise part 1~2(Qiskit global summer school 2023)

• Textbook:

  • Quantum Operations: Section 8.2

  • Quantum noise: Section 8.3

  • Quantum Process Tomography: Section 8.4.2

  • Quantum Distance Measures: Section 9.2

• Lab(Optional):

  • Density Matrix review(https://github.com/Qiskit/textbook/blob/main/notebooks/quantum-hardware/density-matrix.ipynb)

2. Quantum Error Correction

• Lecture: Quantum Error Correction Codes (Taehyun Kim, Video 20)

• Textbook:

  • Intro to error correction/Three Qubit Bit/Phase Flip Code: Section 10.1

  • The Shor Code: Section: 10.2

  • Quantum Error Correction Theory: 10.3

  • Stabilizer Codes: 10.5

• Labs: 

  • Quantum Error Correction 1: (https://github.com/Qiskit/textbook/blob/main/notebooks/ch-labs/Lab10_QEC.ipynb)

  • Quantum Error Correction 2: https://github.com/qiskit-community/ibm-quantum-challenge-spring-2023/blob/main/content/lab_4/lab4.ipynb

  • Quantum Error Correction 3(With intro to surface codes): https://github.com/qiskit-community/ibm-quantum-challenge-2021/blob/main/content/ex3/ex3.ipynb

  • Intro to repetition codes (https://github.com/Qiskit/textbook/blob/main/notebooks/quantum-hardware/error-correction-repetition-code.ipynb)

3. Error Mitigation and Hardware

   • Lecture: Mitigating errors in Quantum hardware part 1~2(Qiskit global summer school 2023)

   • Labs:

     • Measurement Mitigation (https://github.com/Qiskit/textbook/blob/main/notebooks/quantum-hardware/measurement-error-mitigation.ipynb)

     • Intro to Randomized Benchmarking(https://github.com/Qiskit/textbook/blob/main/notebooks/quantum-hardware/randomized-benchmarking.ipynb)

     • Circuit Optimization(https://github.com/qiskit-community/quantum-explorers/blob/main/Time_Traveler_Badge/2023/QE_Badge4_Lab1_2023.ipynb)

     • Error Mitigation using Qiskit Primitives(https://github.com/qiskit-community/quantum-explorers/blob/main/Time_Traveler_Badge/2023/QE_Badge4_Lab2_QEM_IQC2022Fall_1_2023.ipynb)

     • Advanced Quantum Error Mitigation(https://github.com/qiskit-community/quantum-explorers/blob/main/Time_Traveler_Badge/2023/QE_Badge4_Lab3_QEM_Advanced.ipynb)