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Introduction
- History
- Future Directions
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Fundamentals
- Overview
- Quantum Computation
- Qubits
- Quantum Circuits
- The Dirac Notation and Hilbert Spaces
- Quantum Circuits
- The quantum circuit model
- Quantum Gates
- Universal Quantum Gates
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Introduction to Computer Science
- Overview
- Turing Machines
- Computational Complexity
- Problems in classes P and NP
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Quantum Algorithms
- Probabilistic vs Quantum Algorithms
- Quantum Parallelism
- Deutsch's Algorithm
- Deutsch-Jozsa Algorithm
- Simon's Algorithm
- Grover's Algorithm
- Quantum Search Algorithms
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The Quantum Fourier Transformation
- FFT
- QFT
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The Shor's Code
- Quantum error-correction
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RSA Cryptosystem
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What's Happening Now
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Summary
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Quantum theory in classical Game Theory
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Nash equilibrium