Equally entangled multiqubit states

Abstract We present a protocol for generating multiqubit quantum states with translationally invariant pairwise entanglement, addressing the challenge posed by restricted qubit connectivity in current digital quantum computing platforms Our method relies on sequences of local single-qubit rotations and controlled operations, and we analyze two distinct configurations: a star topology, which produces cyclic permutation invariant entanglement patterns, and a linear topology, which enables translationally invariant entanglement across the chain. Using a variant of the time-dependent density matrix renormalization group (tDMRG) algorithm, we show that in the linear configuration the resulting bulk entanglement is independent of the number of qubits, demonstrating the scalability of the approach. Moreover, by alternating local unitaries along the chain, we uncover a periodic regime in which nearest-neighbor entanglement exhibits a dimerized structure. These results provide a practical and experimentally feasible pathway for realizing highly symmetric entangled states in near-term quantum devices.