Nearly optimal time-independent reversal of a spin chain

Understand

We propose a time-independent Hamiltonian protocol for the reversal of qubit ordering in a chain of $N$ spins.

• Our protocol has an easily implementable nearest-neighbor, transverse-field Ising model Hamiltonian with time-independent, non-uniform couplings.
• Under appropriate normalization, we implement this state reversal three times faster than a naive approach using SWAP gates, in time comparable to a protocol of Raussendorf [Phys.
• Rev.