To store the state of one quantum bit, you need both the amplitude for state 0 and the amplitude for state 1. You need to store 2 numbers. For a memory of N qu

To store the state of one quantum bit, you need both the amplitude for state 0 and the amplitude for state 1. You need to store 2 numbers. For a memory of N qubits, you need to store the amplitude for each bit configuration, so 2^N numbers. This is totally doable, and people have written quantum computer simulation software.