Track independent sets of squares in Quantum TicTacToe

[everthemore]

Disjoint sets of entangled squares can use separate QuantumWorlds; when performing moves, involved squares can be added to new or existing QuantumWorlds. Then, for updating the board (visual representation), we only need to re-sample QuantumWorlds that changed due to the last move, saving resources.

Alternatively, this could be a feature we automatically keep track of in the QuantumWorld object (with a force re-sample option?)

[cognigami]

Live discussion:

• Good performance hack, especially for those paying for access to quantum hardware by the gate.
• However, needs more thought and design before moving forward:
  • In general, using the cache might not be want the user wants in all cases.
  • Need to figure out what the reasonable default should be, and weigh the complexity of adding this as an option.
  • Could also add query about which qubits are entangled.
• Consider for v2?