Yale and University of Chicago researchers found magic gate teleportation works only with resource states that are Clifford-equivalent to diagonal states, sharply narrowing which states can support fault-tolerant non-Clifford operations.
Their analysis reduces the protocol to 2 steps: encode the input state according to Pauli-measurement outcomes, then apply a logical non-Clifford gate, giving a clearer blueprint for circuit design.
That structure also simplifies feedforward—the conditional operations triggered by measurements—and identifies cases where those operators can be implemented as Pauli operators, potentially lowering computational overhead.
The study says the [5,1,3] protocol's distilled output is not useful for magic gate teleportation, eliminating one candidate while helping focus future searches for practical quantum-computing resources.