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The two degenerate ground states of the anisotropic Heisenberg (XY) spinmodel of a chain of qubits (pseudo-spins) can encode quantum information, buttheir degree of protection against local perturbations is known to be onlypartial. We examine the properties of the system in the presence of non-localspin-spin interactions, possibly emerging from the quantum electrodynamics ofthe device. We find a phase distinct from the XY phase admitting two groundstates which are highly protected against all local field perturbations,persisting across a range of parameters. In the context of the XY chain wediscuss how the coupling between two ground states can be used to observesignatures of topological edge states in a small controlled chain ofsuperconducting transmon qubits.

Protected ground states in short chains of coupled spins in circuit quantum electrodynamics