This study group introduces participants to the Qiskit & Pennylane python library developed by IBM & Xanadu for use in quantum research. 

Topics

1. Quantum Circuits in Qiskit

   • Installation and basics: https://docs.quantum.ibm.com/start

   • Building Circuits in Qiskit: https://docs.quantum.ibm.com/build

   • Atoms of Computation: https://github.com/Qiskit/textbook/blob/main/notebooks/intro/atoms-of-computation.ipynb

   • Single qubit gates: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-states/single-qubit-gates.ipynb

   • Using single qubit gates: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-labs/Lab02_Single_Qubit_Gates.ipynb

   • Quantum Circuit Practice: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-labs/Lab01_QuantumCircuits.ipynb

   • Measurements: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-labs/Lab03_QuantumMeasurement.ipynb

   • Circuit Identities: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-gates/basic-circuit-identities.ipynb

   • Creating Entangled States: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-gates/multiple-qubits-entangled-states.ipynb

   • Oracles: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-gates/oracles.ipynb

   • Phase Kickback: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-gates/phase-kickback.ipynb

   • Exercises: 

     • https://github.com/qiskit-community/qiskit-community-tutorials/blob/master/exercises/01_exercise.ipynb

     • Quantum Gates: https://github.com/qiskit-community/ibm-quantum-challenge-2021/blob/main/content/ex1/ex1.ipynb

     • Shor's Algorithm: https://github.com/qiskit-community/ibm-quantum-challenge-2021/blob/main/content/ex2/ex2.ipynb

2. Quantum Algorithms in Qiskit

   • Deutsch-Jozsa: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/deutsch-jozsa.ipynb

   • Bernstein-Vazirani Algorithm: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/bernstein-vazirani.ipynb

   • Simon's Algorithm: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/simon.ipynb

   • Quantum Fourier Transform: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/quantum-fourier-transform.ipynb

   • Quantum Phase Estimation: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/quantum-phase-estimation.ipynb

   • Grover's Algorithm: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/grover.ipynb

   • Quantum Counting: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/quantum-counting.ipynb

   • Superdense coding: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/superdense-coding.ipynb

   • Quantum Teleportation: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-algorithms/teleportation.ipynb

   • Exercise: 

     • Grover's algorithm for an unknown number of solutions: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-labs/Lab08_Grover_search_with_an_unknown_number_of_solutions.ipynb

     • Quantum Simulation using quantum search: https://github.com/Qiskit/textbook/blob/main/notebooks/ch-labs/Lab09_QuantumSimulationSearchAlgorithm.ipynb

     • Quantum Teleportation: https://github.com/qiskit-community/ibm-quantum-challenge-spring-2023/blob/main/content/lab_2/lab2.ipynb

     • Iterative Phase Estimation: https://github.com/qiskit-community/ibm-quantum-challenge-spring-2023/blob/main/content/lab_3/lab3.ipynb

3. Advanced Qiskit Features

   • Noise Simulators: https://docs.quantum.ibm.com/verify/simulate-with-qiskit-aer

   • Qiskit Primitives: https://docs.quantum.ibm.com/run, https://github.com/qiskit-community/quantum-explorers/blob/main/Time_Traveler_Badge/2023/QE_Badge4_Lab2_QEM_IQC2022Fall_1_2023.ipynb

   • Dynamic Circuits: https://github.com/qiskit-community/ibm-quantum-challenge-spring-2023/blob/main/content/lab_1/lab1.ipynb

   • Quantum Chemistry: 

     • Quantum Chemistry intro: https://github.com/qiskit-community/ibm-quantum-spring-challenge-2022/blob/main/exercise4/04.quantum_chemistry.ipynb

     • VQE for quantum chemistry: https://github.com/qiskit-community/ibm-quantum-challenge-2021/blob/main/content/ex5/ex5.ipynb

4. Quantum Algorithms in Pennylane (Make sure to read the READ.md for some exercises)

   • Disclaimer: For extra practice solving the QHack problems can be of help. Keep in mind some of the problems are quite difficult.

   • Intro to quantum gates, quantum circuits in pennylane: Module I (Exercises 1~5)

     • Exercises:

       • Comparing expectation values: https://pennylane.ai/challenges/comparing_expectation_values/

       • Returning expectation values: https://pennylane.ai/challenges/returning_expectation_values/

       • Returning probabilities: https://pennylane.ai/challenges/returning_probabilities/

       • Returning Tensor product observables: https://pennylane.ai/challenges/tensor_observables/

       • States and probablities: https://pennylane.ai/challenges/states_and_probabilities/

       • https://github.com/XanaduAI/qhack_2023_coding_challenges/blob/main/tutorial_challenges/tutorial_2/affairs_of_state.ipynb

       • https://github.com/XanaduAI/qhack_2023_coding_challenges/blob/main/tutorial_challenges/tutorial_6/hamiltonian_sandwich.ipynb

       • https://github.com/XanaduAI/qhack_2023_coding_challenges/blob/main/tutorial_challenges/tutorial_8/stuck_in_the_middle_with_u.ipynb

       • https://github.com/XanaduAI/QHack2024-coding-challenges/blob/main/to_view_or_not_to_view/description.md

       • https://github.com/XanaduAI/QHack2024-coding-challenges/blob/main/QSP_swamp/description.md

       • https://github.com/XanaduAI/QHack2024-coding-challenges/blob/main/GHZ_inn/description.md

   • Oracles and Deustch-Joza: Module A

   • Grover's Algorithm: 

     • Module G

     • Demo: https://pennylane.ai/qml/demos/tutorial_grovers_algorithm/

   • Quantum Fourier Transform: 

     • Module F

     • Demo: https://pennylane.ai/qml/demos/tutorial_qft_arithmetics/

   • Quantum Phase Estimation: 

     • Module P

     • Demo: https://pennylane.ai/qml/demos/tutorial_qpe/

   • Shor's Algorithm: Module S

     • Exercises:

       • https://github.com/XanaduAI/qhack_2023_coding_challenges/blob/main/tutorial_challenges/tutorial_3/a_shor_thing.ipynb

   • Hamiltonian Simulation(Optional): Module H (Exercise 6)

     • Exercises: 

       • https://pennylane.ai/challenges/a_simple_trotterization/ 

5. Advanced Pennylane Features

   • Brief intro to error simulation in Pennylane: 

     • Module N & Module E

     • Demo: https://pennylane.ai/qml/demos/tutorial_noisy_circuits/

   • Error Mitigation: https://pennylane.ai/qml/demos/tutorial_error_mitigation/

   • Variational Circuits:

     • Using QAOA in pennylane: https://pennylane.ai/qml/demos/tutorial_qaoa_intro/

     • Quantum Gradients: https://pennylane.ai/qml/demos/tutorial_backprop/

     • Quantum Analytic Descent: https://pennylane.ai/qml/demos/tutorial_quantum_analytic_descent/

     • Variational Classifier: https://pennylane.ai/qml/demos/tutorial_variational_classifier/

     • Exercises:

       • https://github.com/XanaduAI/qhack_2023_coding_challenges/blob/main/tutorial_challenges/tutorial_7/optimize_this.ipynb

   • Quantum Chemistry:

     • VQE for quantum chemistry: https://pennylane.ai/qml/demos/tutorial_vqe/

     • Molecular Hamiltonians: https://pennylane.ai/qml/demos/tutorial_quantum_chemistry/

     • State preparation: https://pennylane.ai/qml/demos/tutorial_initial_state_preparation/

     • Givens Rotations: https://pennylane.ai/qml/demos/tutorial_givens_rotations/

     • Exercises:

       • https://github.com/XanaduAI/qhack_2023_coding_challenges/blob/main/tutorial_challenges/tutorial_5/hi_hydrogen.ipynb

       • https://github.com/XanaduAI/QHack2024-coding-challenges/blob/main/save_qhack_beach/description.md

       • https://github.com/XanaduAI/QHack2024-coding-challenges/blob/main/triple_H_hotel/description.md