Quantum Computing https://www.mheducation.com/cover-images/Jpeg_400-high/1260123111.jpeg 1 9781260123111 Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. A self-contained, reader-friendly introduction to the principles and applications of quantum computing Especially valuable to those without a prior knowledge of quantum mechanics, this electrical engineering text presents the concepts and workings of quantum information processing systems in a clear, straightforward, and practical manner. The book is written in a style that helps readers who are not familiar with non-classical information processing more easily grasp the essential concepts; only prior exposure to classical physics, basic digital design, and introductory linear algebra is assumed. Quantum Computing: A Beginner’s Introduction presents each topic in a tutorial style with examples, illustrations, and diagrams to clarify the material. Written by an experienced electrical engineering educator and author, this is a self-contained resource, with all the necessary pre-requisite material included within the text. Coverage includes: • Complex Numbers, Vector Space, and Dirac Notation • Basics of Quantum Mechanics • Matrices and Operators • Boolean Algebra, Logic Gates and Quantum Information Processing • Quantum Gates and Circuit • Tensor Products, Superposition and Quantum Entanglement • Teleportation and Superdense Coding • Quantum Error Correction • Quantum Algorithms • Quantum Cryptography
Quantum Computing

Quantum Computing

1st Edition
By Parag Lala
ISBN10: 1260123111
ISBN13: 9781260123111
Copyright: 2019
09781260123111

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ISBN10: 1260123111 | ISBN13: 9781260123111

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Program Details

  • Preface
  • 1 Complex Numbers, Vector Space, and Dirac Notation
    • 1.1 Complex Numbers
    • 1.2 Complex Conjugation
    • 1.3 Vector Space
    • 1.4 Basis Set
    • 1.5 Dirac Notation
      • 1.5.1 Ket
      • 1.5.2 Bra
    • 1.6 Inner Product
    • 1.7 Linearly Dependent and Independent Vectors
    • 1.8 Dual Vector Space
    • 1.9 Computational Basis
    • 1.10 Outer Product
    • References
  • 2 Basics of Quantum Mechanics
    • 2.1 Limitations of Classical Physics
      • 2.1.1 Blackbody Radiation
      • 2.1.2 Planck’s Constant
    • 2.2 Photoelectric Effect
    • 2.3 Classical Electromagnetic Theory
    • 2.4 Rutherford’s Model of the Atom
    • 2.5 Bohr’s Model of Atoms
    • 2.6 Particle and Wave Nature of Light
    • 2.7 Wave Function
    • 2.8 Postulates of Quantum Mechanics
    • References
  • 3 Matrices and Operators
    • 3.1 Matrices
    • 3.2 Square Matrices
    • 3.3 Diagonal (or Triangular) Matrix
    • 3.4 Operators
      • 3.4.1 Rules for Operators
    • 3.5 Linear Operator
    • 3.6 Commutator
    • 3.7 Matrix Representation of a Linear Operator
    • 3.8 Symmetric Matrix
    • 3.9 Transpose Operation
    • 3.10 Orthogonal Matrices
    • 3.11 Identity Operator
    • 3.12 Adjoint Operator
    • 3.13 Hermitian Operator
    • 3.14 Unitary Operators
      • 3.14.1 Properties of Unitary Operators
    • 3.15 Projection Operator
    • References
  • 4 Boolean Algebra, Logic Gates, and Quantum Information Processing
    • 4.1 Boolean Algebra
    • 4.2 Classical Circuit Computation Model
    • 4.3 Universal Logic Gates
    • 4.4 Quantum Computation
    • 4.5 The Quantum Bit and Its Representations
    • 4.6 Superposition in Quantum Systems
    • 4.7 Quantum Register
    • References
  • 5 Quantum Gates and Circuits
    • 5.1 X Gate
    • 5.2 Y Gate
    • 5.3 Z Gate
    • 5.4 (Square Root of NOT) Gate
    • 5.5 Hadamard Gate
    • 5.6 Phase Gate
    • 5.7 T Gate
    • 5.8 Reversible Logic
    • 5.9 CNOT Gate
    • 5.10 Controlled-U Gate
    • 5.11 Reversible Gates
      • 5.11.1 Fredkin Gate (Controlled Swap Gate)
      • 5.11.2 Toffoli Gate (Controlled-Controlled-NOT)
      • 5.11.3 Peres Gate
    • References
  • 6 Tensor Products, Superposition, and Quantum Entanglement
    • 6.1 Tensor Products
    • 6.2 Multi-Qubit Systems
    • 6.3 Superposition
    • 6.4 Entanglement
    • 6.5 Decoherence
    • References
  • 7 Teleportation and Superdense Coding
    • 7.1 Quantum Teleportation
    • 7.2 No-Cloning Theorem
    • 7.3 Superdense Coding
    • References
  • 8 Quantum Error Correction
    • 8.1 Classical Error-Correcting Codes
    • 8.2 Quantum Error-Correcting Codes
    • 8.3 Shor’s 3-Qubit Bit-Flop Code
    • 8.4 Error Correction
      • 8.4.1 Bit-Flip Error Correction
      • 8.4.2 Phase Error Correction
    • 8.5 Shor’s 9 Qubit Code
    • References
  • 9 Quantum Algorithms
    • 9.1 Deutsch’s Algorithm
    • 9.2 Deutsch–Jozsa Algorithm
    • 9.3 Grover’s Search Algorithm
      • 9.3.1 Details of Grover’s Algorithm
    • 9.4 Shor’s Factoring Algorithm
    • References
  • 10 Quantum Cryptography
    • 10.1 Principles of Information Security
    • 10.2 One-Time Pad
    • 10.3 Public Key Cryptography
    • 10.4 RSA Coding Scheme
    • 10.5 Quantum Cryptography
    • 10.6 Quantum Key Distribution
    • 10.7 BB84
    • 10.8 Ekart 91
    • References
  • Index

About the Author

Parag Lala