Still probabilistic. You still don’t know who will mine a block unless you absolutely control 100% of the hash with pure certainty. And that would also require a singular entity/observer always deciding which transactions are included or which qubits are measured. Why is the starting to sound like traditional quantum computing? What do you mean without a link to time? You know deterministically when a UTXO was occupying a point in space (memory) and when it was not; full history