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We propose a quantum speedup method for adiabatic generation of cat states inbosonic Josephson junctions via shortcuts to adiabaticity. We applyapproximated counter-diabatic driving to a bosonic Josephson junction using theHolstein-Primakoff transformation. In order to avoid the problem of divergencein counter-diabatic driving, we take finite-size corrections into account. Theresulting counter-diabatic driving is well-defined over whole processes.Schedules of the counter-diabatic driving consist of three steps; thecounter-diabatic driving in the disordered phase, smoothly and slowlyapproaching the critical point, and the counter-diabatic driving in the orderedphase. Using the counter-diabatic driving, adiabatic generation of cat statesis successfully accelerated. The enough large quantum Fisher informationensures that generated cat states are highly entangled.

Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions