Abstract: A system for quantum state transfer and entanglement generation includes a quantum system including a plurality of qubits, a processor, and a memory. The memory includes instructions stored thereon, which, when executed by the processor, cause the quantum system to: access a signal of the quantum system; encode unknown coefficients in one qubit of the plurality of qubits; initialize each of the remaining qubits of the plurality of qubits in state |0; group the plurality of qubits into a plurality of subsystems; in each of the plurality of subsystems: encode quantum information into Greenberger-Horne-Zeilinger-like (GHZ-like) states using nearest-neighbor interactions; and apply a generalized controlled-phase gate between the plurality of subsystems to merge the GHZ-like states into an entangled state between of the plurality of subsystems.

Abstract: Preparing a metrologically-relevant entangled state includes: providing a plurality of atoms in a regular lattice, wherein each atom is in an initial quantum state of a first state in a ground state manifold; initializing a central atom in the regular lattice to a (|0+|1)/?2 state while all other atoms remain in the first state |0 as remaining atoms; and proceeding, starting with the central atom, to propagate preparation of Greenberger-Horne-Zeilinger (GHZ) states in a nonlinear progression by increasing a number of GHZ states in each iteration through the remaining atoms in a recursive manner, to produce an intermediate GHZ state, such that the intermediate GHZ state acts as an initial GHZ state for a next iteration, until a final GHZ state is formed to prepare the metrologically-relevant entangled state of the atoms.

Abstract: Preparing a metrologically-relevant entangled state includes: providing a plurality of atoms in a regular lattice, wherein each atom is in an initial quantum state of a first state in a ground state manifold; initializing a central atom in the regular lattice to a (|0+|1)/?2 state while all other atoms remain in the first state |0 as remaining atoms; and proceeding, starting with the central atom, to propagate preparation of Greenberger-Horne-Zeilinger (GHZ) states in a nonlinear progression by increasing a number of GHZ states in each iteration through the remaining atoms in a recursive manner, to produce an intermediate GHZ state, such that the intermediate GHZ state acts as an initial GHZ state for a next iteration, until a final GHZ state is formed to prepare the metrologically-relevant entangled state of the atoms.