Experimental study on quantum-entangled cooperative behavior of two ants

J. Summhammer introduced the physical concept of quantum entanglement into cooperatively pushing a pebble, which may be too heavy for one ant, by two insects (ants). According to his results, we have confirmed that the two ants with quantum entanglement, i.e., quantum-entangled ants, can push the pebble up to twice relative to independent (classical) ants. However, the conventional study did not have clearly described the relation of the ant forces needed to push a pebble, such as f_min, the force of anti, |f⃗₁|, and the force of ant₂, |f⃗₂|. For clarifying the relation, we have simulated the cooperation of two ants while changing the condition of f_min, |f⃗₁| and |f⃗₂|. From the experimental results, we have proven that two ants with the bigger difference of force can push the pebble farther in competitive society in both classical ants and quantum-entangled ants, where |f⃗₂| <; f_min <; |f⃗₁| and |f⃗₁| + |f⃗₂| is a constant. Moreover, it should be noted that the difference between the performance of quantum-entangled ants and that of classical ants becomes smaller in competitive society if the difference of two ant forces becomes bigger.