We study, within the spin-boson dynamics, the synchronization of a quantum tunneling system with an external, time-periodic driving signal. As a main result, we find that at a sufficiently large system-bath coupling strength (i.e., for a friction strength > 1) the thermal noise plays a constructive role in yielding forced synchronization. This noise-induced synchronization can occur when the driving frequency is larger than the zero-temperature tunneling rate. As an application evidencing the effect, we consider the charge transfer dynamics in molecular complexes. DOI: 10.1103/PhysRevLett.97.210601 PACS numbers: 05.60.Gg, 05.40.ÿa, 05.45.Xt, 82.20.Gk The study of the different versions of synchronization appearing in nonlinear classical systems has gained importance over the past decade [1][2][3][4]. A special class of problems is provided by noise-induced forced synchronization in driven bistable nonlinear systems [2,5,6]. Here a stochastic phase process can be associated with the jumping events between two domains of attraction. The locking of the average frequency of the phase process to that of the external driving and the smallness of the phase-diffusion coefficient in a corresponding interval of noise strengths are the fingerprints of such noise-induced forced synchronization [7][8][9]. Another manifestation of the rich dynamics of such systems is stochastic resonance (SR) [10], which recently has been generalized to the quantum regime [11][12][13]. Its experimental realization on the level of a nanomechanical quantum memory element is now feasible [14]. Although synchronization and SR are related, the existence of SR does not necessarily imply a (phase) synchronization, as emphasized in Ref. [5]. The extension of noiseinduced synchronization into the realm of quantum physics has not been considered thus far. This latter task presents a challenge which, apart from prominent academic interest, also comprises a great potential for nanoscience with beneficial applications ranging from quantum control to quantum information processing. With this work, we undertake a first step in this direction.Dissipative quantum tunneling changes radically the physics of classical synchronization. At zero temperature, the system can only tunnel towards its lowest energy state when a biasing dc signal is applied. As the bias periodically changes its sign due to the action of a driving field, tunneling causes the particle to move periodically towards its corresponding lowest energy state, as long as the driving period is much longer than the typical time scale for tunneling. Consequently, one expects that the system may synchronize when driven by a periodic, e.g., rectangular-shaped, signal. By contrast, in the absence of thermal noise, synchronization in overdamped classical bistable systems driven by subthreshold signals fails as no overbarrier transitions occur.Two interesting questions now emerge: What is the effect of the generally deteriorating thermal quantum noise at finite temperatures on synchronization? How does...