"Like Mac and PC, quantum computers come in two forms, depending on how localized the information is. Researchers are looking into hybrid models that could combine the best of both systems. Two papers in Physical Review Letters describe possible interfaces for relaying information between the two quantum platforms.
Quantum computers store information in “qubits,” which are quantum combinations of ones and zeros. Traditionally, qubits have been recorded in some intrinsic property of an isolated system, like the spin of a trapped electron. The trouble is that any slight interaction with the environment will force the qubit to collapse into a specific state and lose information.
One possible solution to this problem is to use topological quantum computers, which store information in intertwined particle states, called anyons. If one imagines these anyons as checkers on a board, a computation would consist of swapping the pieces in a precise sequence. The quantum information is not localized on individual checkers, but is instead encoded in the way the anyon trajectories weave around each other in spacetime. ..."
Michael Schirber

Similarly in our brains at the sub-microtubular level? The dimers wrapping around the tubules may be 2D anyon systems.