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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