Step1 shows the initial position of the game. This is called State = 1.
State = 1 shows an empty basket "A" and a basket "B" filled with water.
The challenge of the exercise is to move the empty basket "A" towards the filled basket "B". Empty the filled basket completely in the empty basket. Move the now filled basket "A" back to its original position.
Step 2 shows the situation were the empty basket "A" is moved towards the filled basket "B"and touches the filled basket "B". When the empty basket "A" is slightly moved more towards the right the filled basket "B" runs over.
This situation is still called State = 1
Step 6 is the same as step 4. Step 6 starts when basket "A" is moved towards the left. The situation is identified as state = 3. The important issue is that there is only one water level.
Step 7 resembles step 3, but is clearly different. This situation starts with one level but when the rim of the two baskets starts to appear. In the above situation in both baskets there is the same amount of water but this is not always the case. The situation is identified as state = 5
Step 9 is the same as step 7 and step 8. The original empty basket "A" is back to its starting position.
The situation is also described as state = 5
The problem is that basket "B" is not empty. The chalenge is to get more in basket "A"
Reflection
My first impression is that I doubt the Quantum Mechanical implications of the game. Specific if this game can be used in anyway to speed up the development of a Quantum Computer.