QGameTheory (version 0.1.2)

QDuelsPlot3: Quantum Two Person Duel game

Description

This function helps us to plot the improvement in Alice's expected payoff as a function of a and b, if Alice chooses to fire at the air in her second shot, in a two round game. 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

QDuelsPlot3(Psi, alpha1, alpha2)

Arguments

Psi

a vector representing the initial quantum state

alpha1

a number

alpha2

a number

Value

No return value, plots the improvement in Alice's expected payoff as a function of a and b, if Alice chooses to fire at the air in her second shot, in a two round game.

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

# NOT RUN {
init()
Qs <- (Q$Q0+Q$Q1)/sqrt(2)
Psi <- kronecker(Q$Q1, Qs)
QDuelsPlot3(Psi, pi/3, pi/6)

# }