A No-Go Theorem for Order-Two Clifford Electric-Magnetic Duality
The paper investigates whether an order-two Clifford operation can faithfully implement electric-magnetic duality in topological codes like the Z2 toric code. It proves that this realization is impossible for even N, establishing a no-go theorem. However, it shows that an order-two realization exists for odd N and constructs explicit constructions for both cases.