Table of Contents

  1. Title page
  2. Copyright page
  3. Dedication
  4. Acknowledgments
  5. Introduction
  6. 1 Spin
  7. 2 Linear Algebra
  8. 3 Spin and Qubits
  9. 4 Entanglement
  10. 5 Bell’s Inequality
  11. 6 Classical Logic, Gates, and Circuits
  12. 7 Quantum Gates and Circuits
  13. 8 Quantum Algorithms
  14. 9 Impact of Quantum Computing
  15. Index

List of figures

  1. Chapter 1
    1. Figure 1.1 Stern-Gerlach apparatus.
    2. Figure 1.2 Electron with spin N in the vertical direction.
    3. Figure 1.3 Electron with spin S in the vertical direction.
    4. Figure 1.4 Electron with spin N in the 90° direction.
    5. Figure 1.5 Electron with spin S in the 90° direction.
    6. Figure 1.6 Electron with spin N in the θ° direction.
    7. Figure 1.7 Electron with spin N in the 0° direction.
    8. Figure 1.8 Two linear polarized squares with the same orientation.
    9. Figure 1.9 Two linear polarized squares with different orientations.
    10. Figure 1.10 Three linear polarized squares with different orientations.
  2. Chapter 2
    1. Figure 2.1 Same ket drawn in different positions.
    2. Figure 2.2 Parallelogram law for vector addition.
  3. Chapter 3
    1. Figure 3.1 The standard basis.
    2. Figure 3.2 The standard basis rotated by α°.
    3. Figure 3.3 Rotating measuring apparatus by θ°.
    4. Figure 3.4 Two polarized squares.
    5. Figure 3.5 Three polarized squares.
  4. Chapter 6
    1. Figure 6.1 The NOT gate.
    2. Figure 6.2 The AND gate.
    3. Figure 6.3 The four possibilities for inputs to the AND gate.
    4. Figure 6.4 The OR gate.
    5. Figure 6.5 The NAND gate.
    6. Figure 6.6 A circuit for
    7. Figure 6.7 A circuit for .
    8. Figure 6.8 A circuit for .
    9. Figure 6.9 The XOR gate.
    10. Figure 6.10 A half-adder circuit.
    11. Figure 6.11 A flip-flop using two NAND gates.
    12. Figure 6.12 A circuit for CNOT.
    13. Figure 6.13 Usual representation of CNOT gate.
    14. Figure 6.14 Toffoli gate.
    15. Figure 6.15 The Fredkin gate.
    16. Figure 6.16 Billiard ball switch gate.
    17. Figure 6.17 Two balls entering switch gate.
    18. Figure 6.18 Switch gate with inputs and outputs labeled.
    19. Figure 6.19 Switch gate with inputs and outputs interchanged.
    20. Figure 6.20 Fredkin gate constructed from switch gates.
    21. Figure 6.21 Delay added to straight-line path.
    22. Figure 6.22 Billiard-ball Fredkin gate to be used in circuits.
  5. Chapter 9
    1. Figure 9.1 The oracle for f.
    2. Figure 9.2 Grover algorithm circuit.
    3. Figure 9.3 Graph of function—bottom of bucket.

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