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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