Creating two-qudit maximally entangled quantum link through bulk

Abstract

We design a setup for creating almost maximally entangled two-qudit link between distant nodes which are weakly coupled with the interacting spin-s bulk (processor). We exhibit that such a quantum link between spins of arbitrary spin quantum number can be formed when the system is prepared at sufficiently low temperature. We find that the Heisenberg and the bilinear-biquadratic (BBQ) spin-1 models are the potential candidates to obtain long-distance near-maximal entanglement in equilibrium. Beyond the static regime, we further show that initializing the bulk in a fully polarized state and the link in an appropriate qudit state allows the system to dynamically evolve into a highly entangled state under both Heisenberg and BBQ Hamiltonians. Our findings reveal that both the static and the dynamical protocols presented here remain efficient towards creating highly entangled two-qudit states even if the spin quantum numbers of the bulk is lower than that of the link.

v2: 13 pages and 13 figures, close to the published version

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