Quantum computers have the potential to perform certain types of calculations more efficiently than classical computers. However, it's important to note that counting to a googol (10^100) is not a particularly challenging task for classical computers. Classical computers can easily perform sequential counting operations at a rate of billions or trillions of operations per second.
On the other hand, when it comes to quantum computers, their advantage lies in solving certain complex computational problems exponentially faster than classical computers, such as factoring large numbers or simulating quantum systems.
Counting to a googol does not fall into the category of problems that quantum computers excel at, as it is a simple sequential task that does not require any special computational techniques or algorithms. In fact, a quantum computer would not provide any significant advantage over a classical computer for this specific task.
Therefore, if you were to use a quantum computer to count to a googol, it would likely take a similar amount of time as using a classical computer. The time required would depend on the specific hardware and speed of the computer being used, but it would not be a challenging or time-consuming task for either type of computer.