Quantum state transfer

Since the emergence of quantum information theoretic tasks, low-dimensional interacting quantum spin models have served as ideal candidate systems for implementing them. Realizations of such low-dimensional quantum spin models using trapped ions, superconducting qubits, nuclear magnetic resonance, solid-state systems, and ultra-cold atoms have also extended the possibility of implementing these quantum protocols beyond the constraints of being only theoretical. Among the quantum protocols utilizing the properties of quantum spin models, quantum state transfer has arguably been one of the most prominent ones. Quantum state transfer has so far been studied mostly in setups of 1D quantum spin chains, described by XX, XY, and XXZ models, along with quantum spin models having long-range correlations. It has also been investigated in pairs of uncoupled and coupled spin chains. Our research deals with devising quantum state transfer protocols for single-qubit states on 2D registers of qubits, where the interactions between the qubits are modeled by well-known quantum spin Hamiltonians.