Quantum Tic-Tac-ToeQuantum Tic-Tac-Toe is a variant of Tic-Tac-Toe that allows players to place marks in superposition of being in two places at once. This allows for the possibility of a square to be occupied by more than one mark. In this way squares can be seen to be entangled. Under the condition of cyclic entanglement collapse occurs. The player who did not create the cycle chooses the mark to collapse to, causing the entire cycle to collapse.This game does illustrate superposition and entanglement. However, it is deterministic in its measurement outcomes (collapse), where quantum mechanical measurements are specifically non-deterministic. There is also no representation of interference.
Quantum MinesweeperQuantum Minesweeper is a variant of minesweeper that is played on a board that begins in a superposition of different mine configurations. The player then performs different types of measurements to try and guess the superposition. The measurements available are classical, interaction free, and entanglement measurements. In this way the player may gain some understanding of these quantum phenomena. However interference is not present, and the player is not actively generating quantum effects.
Quantum Chess Design GoalsAn examination of the previous work highlighted one major gap that could be filled in the design of a Quantum Chess: interference. None of these games exhibited quantum interference effects in any way. This realization, and other more subjective desires for a quantum game, led to the following list of design goals 1. The game would include a trifecta of quantum evolutionary phenomena: superposition, entanglement, and interference.