Part 2: a toy example to indicate how the algorithm should work
Suppose a game has two possible positions P and Q and two possible outcomes W and L. We represent the position by just 1 qubit where P is true and Q is false and the outcome by a another state entangled with the position state and having three values - Undetermined, Win and Loss.
Suppose P is the initial position of the game.
So we can start with an entangled state which is a superposition of two states indicating the position P is
PU + QU
Applying our algorithm for which positions have a result on the board we find Q is a win. The state becomes
PU + QW
Note that although this is entangled, the value conditional on the position is definite. The value conditional on position P it is U, and the value conditional on the position being Q is W.
Next we apply our algorithm that finds the legal moves in each position. It happens that there is a single legal move from P that reaches Q. We can then update the conditional value of P to get the state:
PW + QW
As the value of the initial position is now determined, the game has been solved.
Of course most games would require repetition of the inner steps and there would be as many entangled states as there are positions, but the updates are in parallel.
That last sentence is the key, though. If they solve the destructive read issue, then I will revise my stance... but I don't how they can...doesn't physics preclude it? Like trying to determine where an electron is fixes it's location, observing the qubits results before the process ends kills the entire results "matrix" (I'm sure there's a different term in quantum computing circles).
I am not sure. The problem likely comes down to the no cloning theorem, so you have to be very careful how you transform the state, containing superimposed information at every stage. I tentatively hypothesise that if you can express it in a way where every step is reversible - i.e. unitary transformations - that would suffice. I have not done that above (rather assumed that it would be possible instead).
In nature, many animals have greater success in not moving first. They study and wait patiently. Their win is countering with a faster &/or better move.
Good question. God’s blessings friend. _Dr. G 😎