All Possible Coupling Schemes in XY Spin Chains for Perfect State Transfer

Understand

We investigate quantum state transfer in XY spin chains and propose a recursive procedure to construct the nonuniform couplings of these chains with arbitrary length to achieve perfect state transfer(PST).

• We show that this method is capable of finding all possible coupling schemes for PST.
• These schemes, without external control fields, only involve preengineered couplings but not dynamical control of them, so they can be simply realized experimentally.
• The analytical solutions provide all information for coupling design.