Tutorials

Tutorials for toqito.

Nonlocal Games

• Nonlocal games
  • Two-player nonlocal games
  • Classical and Quantum Strategies
    • Classical strategies
    • Quantum strategies
  • Calculating the classical value
  • Calculating the quantum value
  • Lower bounding the quantum value in toqito
    • Example: Lower bounding the quantum value of the CHSH game
  • The FFL game
  • Parallel repetitions of nonlocal games
  • References

XOR Games

• Calculating the quantum and classical value of a two-player XOR game
  • Two-player XOR games
  • The CHSH game
    • A classical strategy for the CHSH game
    • A quantum strategy for the CHSH game
  • The odd cycle game
  • References

Extended Nonlocal Games

• Extended nonlocal games
  • The extended nonlocal game model
  • Strategies for extended nonlocal games
    • Standard quantum strategies for extended nonlocal games
    • Unentangled strategies for extended nonlocal games
    • Non-signaling strategies for extended nonlocal games
    • Relationships between different strategies and values
  • Example: The BB84 extended nonlocal game
    • The unentangled value of the BB84 extended nonlocal game
    • The standard quantum value of the BB84 extended nonlocal game
    • The non-signaling value of the BB84 extended nonlocal game
  • Example: The CHSH extended nonlocal game
    • Example: The unentangled value of the CHSH extended nonlocal game
    • Example: The non-signaling value of the CHSH extended nonlocal game
  • Example: An extended nonlocal game with quantum advantage
    • Example: A monogamy-of-entanglement game with mutually unbiased bases
  • References

Quantum State Distinguishability

• Quantum state distinguishability
  • The state distinguishability problem
    • Optimal probability of distinguishing a quantum state
    • Optimal probability of distinguishing a state via PPT measurements
    • Probability of distinguishing a state via separable measurements
  • References

Quantum State Exclusion

• Quantum state exclusion
  • The state exclusion problem
    • Optimal probability of conclusively excluding a quantum state
    • Optimal probability of unambiguously excluding a quantum state
  • References

Quantum Communication

• Superdense Coding