Quantum computers are capable of performing certain computations more efficiently than classical computers for specific types of problems. However, it's important to clarify that quantum computers do not fundamentally change the nature of numbers or alter the mathematical properties of irrationals.
Irrational numbers, such as the square root of 2 or π (pi), cannot be exactly represented as a finite decimal or fraction. They have an infinite number of non-repeating decimal places. This property remains the same regardless of the computational system used, be it classical or quantum.
Quantum computers excel in solving certain computational problems, such as factorization and searching, due to their ability to exploit quantum phenomena like superposition and entanglement. However, the representation and manipulation of numbers, including irrational numbers, still follow the same principles and mathematical rules on a quantum computer.
In other words, while quantum computers can perform complex calculations involving irrational numbers more efficiently for specific tasks, they don't change the fundamental properties of these numbers. Irrational numbers will continue to exhibit their inherent characteristics, including the infinite nature of their decimal representations, regardless of the computational platform used.