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Learn Quantum Computation using Qiskit
Learn Quantum Computation using Qiskit
What is Quantum?
0. Prerequisites
0.1 Setting Up Your Environment
0.2 Python and Jupyter Notebooks
1. Quantum States and Qubits
1.1 Introduction
1.2 The Atoms of Computation
1.3 Representing Qubit States
1.4 Single Qubit Gates
1.5 The Case for Quantum
2. Multiple Qubits and Entanglement
2.1 Introduction
2.2 Multiple Qubits and Entangled States
2.3 Phase Kickback
2.4 More Circuit Identities
2.5 Proving Universality
2.6 Classical Computation on a Quantum Computer
3. Quantum Protocols and Quantum Algorithms
3.1 Defining Quantum Circuits
3.2 Deutsch-Jozsa Algorithm
3.3 Bernstein-Vazirani Algorithm
3.4 Simon's Algorithm
3.5 Quantum Fourier Transform
3.6 Quantum Phase Estimation
3.7 Shor's Algorithm
3.8 Grover's Algorithm
3.9 Quantum Counting
3.10 Quantum Walk Search Algorithm
3.11 Quantum Teleportation
3.12 Superdense Coding
3.13 Quantum Key Distribution
4. Quantum Algorithms for Applications
4.1 Applied Quantum Algorithms
4.1.1 Solving Linear Systems of Equations using HHL
4.1.2 Simulating Molecules using VQE
4.1.3 Solving combinatorial optimization problems using QAOA
4.1.4 Solving Satisfiability Problems using Grover's Algorithm
4.1.5 Hybrid quantum-classical Neural Networks with PyTorch and Qiskit
4.2 Implementations of Recent Quantum Algorithms
4.2.1 Variational Quantum Linear Solver
4.2.2 Quantum Image Processing - FRQI and NEQR Image Representations
4.2.3 Quantum Edge Detection - QHED Algorithm on Small and Large Images
4.2.4 Solving the Travelling Salesman Problem using Phase Estimation
5. Investigating Quantum Hardware Using Quantum Circuits
5.1 Introduction to Quantum Error Correction using Repetition Codes
5.2 Measurement Error Mitigation
5.3 Randomized Benchmarking
5.4 Measuring Quantum Volume
5.5 The Density Matrix & Mixed States
6. Investigating Quantum Hardware Using Microwave Pulses
6.1 Calibrating Qubits with Qiskit Pulse
6.2 Accessing Higher Energy States
6.3 Introduction to Transmon Physics
6.4 Circuit Quantum Electrodynamics
6.5 Exploring the Jaynes-Cummings Hamiltonian with Qiskit Pulse
6.6 Measuring the Qubit ac-Stark Shift
6.7 Hamiltonian Tomography
7. Quantum Computing Labs
Lab 1. Quantum Circuits
Lab 2. Quantum Measurement
Lab 3. Accuracy of Quantum Phase Estimation
Lab 4. Iterative Quantum Phase Estimation
Lab 5. Scalable Shor’s Algorithm
Lab 6. Grover's search with an unknown number of solutions
Lab 7. Quantum Simulation as a Search Algorithm
Lab 8. Quantum Error Correction
8. Appendix
8.1 Linear Algebra
8.2 Qiskit
9. Games & Demos
Hello Qiskit Game
Estimating Pi Using Quantum Phase Estimation Algorithm
Local Reality and the CHSH Inequality
Quantum Coin Game
Variational Quantum Regression
Interactivity Index
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Investigating Quantum Hardware Using Quantum Circuits
Upcoming
The following topics are currently being developed for addition to the textbook:
Mapping the Ising Model onto a Superconducting Quantum Computer
State and Process Tomography
