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Quantum Computation and Quantum Information Syllabus
This article is created to cover chapter-wise syllabus of quantum computation and quantum information. Let's start with its fundamental concepts:
Fundamental Concepts
- Global Perspectives
- Quantum Bits
- Quantum Computation
- Quantum Algorithms
- Quantum Information
- Postulates of Quantum Mechanisms
Quantum Computation
- Quantum Circuits
- Single Orbit operations
- Control Operations
- Measurement
- Universal Quantum Gates
- Simulation of Quantum Systems
- Quantum Fourier transform
- Phase estimation
- Applications
- Quantum search algorithms
- Quantum counting
- Speeding up the solution of NP
- complete problems
- Quantum Search for an unstructured database
Quantum Computers
- Guiding Principles
- Conditions for Quantum Computation
- Harmonic Oscillator Quantum Computer
- Optical Photon Quantum Computer
- Optical cavity Quantum electrodynamics
- Ion traps
- Nuclear Magnetic resonance
Quantum Information
- Quantum noise and Quantum Operations
- Classical Noise and Markov Processes
- Quantum Operations
- Examples of Quantum noise and Quantum Operations
- Applications of Quantum operations
- Limitations of the Quantum operations formalism
- Distance Measures for Quantum information
Quantum Error Correction
- Introduction
- Shor code
- Theory of Quantum Error-Correction
- Constructing Quantum Codes
- Stabilizer codes
- Fault
- Tolerant Quantum Computation
- Entropy and information
- Shannon Entropy
- Basic properties of Entropy
- Von Neumann
- Strong Sub Additivity
- Data Compression
- Entanglement as a physical resource
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