QDuelsPlot1 {QGameTheory}

Quantum Two Person Duel game

Description

This function helps us to plot Alice's and Bob's expected payoffs as functions of alpha1 and alpha2. Psi is the initial state of the quantum game, n is the number of rounds, a is the probability of Alice missing the target, b is the probability of Bob missing the target, and alpha1, alpha2, beta1, beta2 are arbitrary phase factors that lie in -pi to pi that control the outcome of a poorly performing player.

Usage

QDuelsPlot1(Psi, n, a, b, beta1, beta2)

Arguments

Psi

a vector representing the initial quantum state

n

an integer

a

a number

b

a number

beta1

a number

beta2

a number

Value

No return value, plots Alice's and Bob's expected payoffs as functions of alpha1 and alpha2.

References

https://arxiv.org/pdf/quant-ph/0506219.pdf
https://arxiv.org/pdf/quant-ph/0208069.pdf
https://arxiv.org/pdf/quant-ph/0305058.pdf

Examples

init()
QDuelsPlot1(Q$Q10, 2, 0.66666, 0.5, 0.2, 0.8)