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Introduction to Classical and Quantum Computing

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1 Classical Information and Computation

1.1 Bits
1.2 Logic Gates
1.3 Adders and Verilog
1.4 Circuit Simplification and Boolean Algebra
1.5 Reversible Logic Gates
1.6 Error Correction
1.7 Computational Complexity
1.8 Turing Machines
1.9 Summary

2 One Quantum Bit
2.1 Qubit Touchdown : A Quantum Computing Board Game
2.2 Superposition
2.3 Measurement
2.4 Bloch Sphere Mapping
2.5 Physical Qubits
2.6 Quantum Gates
2.7 Quantum Circuits
2.8 Summary

3 Linear Algebra
3.1 Quantum States
3.2 Inner Products
3.3 Quantum Gates
3.4 Outer Products
3.5 Summary

4. Multiple Quantum Bits
4.1 Entanglion: A Quantum Computing Board Game
4.2 States and Measurement
4.3 Entanglement
4.4 Quantum Gates
4.5 Quantum Adders
4.6 Universal Quantum Gates
4.7 Quantum Error Correction
4.8 Summary

5 Quantum Programming
5.1 IBM Quantum Experience
5.2 Quantum Assembly Language
5.3 Qiskit
5.4 Other Quantum Programming Languages
5.5 Summay

6 Entanglement and Quantum Protocols
6.1 Measurements
6.2 Bell Inequalities
6.3 Monogamy of Entanglement
6.4 Superdense Coding
6.5 Quantum Teleportation
6.6 Quantum Ket Distribution
6.7 Summary

7 Quantum Algorithms
7.1 Circuit vs Query Complexity
7.2 Parity
7.3 Constant cs BalancedFunctions
7.4 Secret Dot Product String
7.5 Secret XOR Mask
7.6 Brute-Force Searching
7.7 Discrete Fourier Transform
7.8 Phase / Eigenvalue Estimation
7.9 period of Modular Exponentiation
7.10 Factoring
7.11 Summary

8 Next Step
8.1 Careers in Quantum Computing
8.2 Technical Next Steps
8.3 Questions
8.4 Parting Words

Answers to Exercises

Index

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