toqito
1.04
Getting started
Introductory Tutorial
Fundamental Objects
States
Channels
Measurements
Mathematics
Linear Algebra
Permutations
Random Objects
Random Objects
Nonlocal Games
Nonlocal Games
Tutorials
Tutorials
Introductory Tutorial
Nonlocal Games
Nonlocal games
XOR Games
Calculating the quantum and classical value of a two-player XOR game
Extended Nonlocal Games
Extended nonlocal games
Quantum State Distinguishability
Quantum state distinguishability
Quantum State Exclusion
Quantum state exclusion
toqito
Tutorials
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Tutorials
Tutorials for
toqito
.
Introductory Tutorial
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
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