The influence of thermal noise on bipartite and tripartite quantum steerings induced by a short laser pulse in a hybrid three-mode optomechanical system is investigated. Explicit analytical expressions are derived for the bipartite and tripartite steering parameters and the concept of collective tripartite quantum steering is explored. Tripartite steering of a mode is said to be the collective tripartite steering if it exists in the absence of all the bipartite steerings of the mode. It is found that both bipartite and tripartite steering parameters are sensitive functions of the initial state of the modes and distinctly different steering behaviour could be observed depending on whether the modes were initially in a thermal state or not. The collective steering can be achieved for the modes initially prepared in a thermal state. We find that the initial thermal noise is more effective in destroying the bipartite rather than the tripartite steering which, on the other hand, can persist even for a large thermal noise. For the initial vacuum state of a mode which is steered by the remaining modes, the tripartite steering exists over the entire interaction time even if the steering modes are in very noisy thermal states. There is no collective steering possible for the cavity and atomic modes, but the mirror mode can be collectively steered by the other modes although it is limited to long interaction time. When the steered mode is initially in a thermal state, it can be collectively steered by the other modes. There are thresholds for the average number of the thermal photons above which the existing tripartite steering appears as the collective steering. Finally, we point out that the collective steering may provide a resource in a hybrid quantum network for one-sided device-independent quantum secret sharing.
The influence of thermal noise on bipartite and tripartite quantum steerings induced by a short laser pulse in a hybrid three-mode optomechanical system is investigated. Explicit analytical expressions are derived for the bipartite and tripartite steering parameters and the concept of collective tripartite quantum steering is explored. Tripartite steering of a mode is said to be the collective tripartite steering if it exists in the absence of all the bipartite steerings of the mode. It is found that both bipartite and tripartite steering parameters are sensitive functions of the initial state of the modes and distinctly different steering behaviour could be observed depending on whether the modes were initially in a thermal state or not. The collective steering can be achieved for the modes initially prepared in a thermal state. We find that the initial thermal noise is more effective in destroying the bipartite rather than the tripartite steering which, on the other hand, can persist even for a large thermal noise. For the initial vacuum state of a mode which is steered by the remaining modes, the tripartite steering exists over the entire interaction time even if the steering modes are in very noisy thermal states. There is no collective steering possible for the cavity and atomic modes, but the mirror mode can be collectively steered by the other modes although it is limited to long interaction time. When the steered mode is initially in a thermal state, it can be collectively steered by the other modes. There are thresholds for the average number of the thermal photons above which the existing tripartite steering appears as the collective steering. Finally, we point out that the collective steering may provide a resource in a hybrid quantum network for one-sided device-independent quantum secret sharing.
The influence of thermal noise on bipartite and tripartite quantum steering induced by a short laser pulse in a hybrid three-mode optomechanical system is investigated. The calculation is carried out under the bad cavity limit, the adiabatic approximation of a slowly varying amplitude of the cavity mode, and with the assumption of driving the cavity mode with a blue detuned strong laser pulse. Under such conditions, explicit expressions of the bipartite and tripartite steering parameters are obtained, and the concept of collective tripartite quantum steering, recently introduced by He and Reid [Phys. Rev. Lett. 111, 250403 (2013)], is clearly explored. It is found that both bipartite and tripartite steering parameters are sensitive functions of the initial state of the modes and distinctly different steering behavior could be observed depending on whether the modes were initially in a thermal state or not. For the modes initially in a vacuum state, the bipartite and tripartite steering occur simultaneously over the entire interaction time. This indicates that collective tripartite steering cannot be achieved. The collective steering can be achieved for the modes initially prepared in a thermal state. We find that the initial thermal noise is more effective in destroying the bipartite rather than the tripartite steering which, on the other hand, can persist even for a large thermal noise. For the initial vacuum state of a steered mode, the tripartite steering exists over the entire interaction time even if the steering modes are in very noisy thermal states. When the steered mode is initially in a thermal state, it can be collectively steered by the other modes. There are thresholds for the average number of the thermal photons above which the existing tripartite steering appears as the collective steering. Finally, we point out that the collective steering may provide a resource in a hybrid quantum network for quantum secret sharing protocol.
Abstract Multipartite quantum steering has important application in quantum information processing. Here we study the influence of thermal noise on the collective quantum steering and genuine tripartite steering in a system of four-level inverted Y-type atoms, in which the atomic coherence is initially prepared and the cavity is coupled to a thermal reservoir. It is found that for the cases of the balanced and unbalanced cavity losses, the thermal noise plays a positive role in realizing the collective steering. However the case is different for the genuine tripartite steering effect. For the case of either balanced or unbalanced cavity losses, the thermal noise would destroy genuine tripartite steering effect and reduce the parameter region of genuine tripartite steering. The thermal noise plays a negative role in realizing genuine tripartite steering. Specially, it is verified that the genuine tripartite steering does not reject the bipartite steering, which is very different from the collective quantum steering requiring no bipartite steering. The present scheme may provide some help for potential applications such as quantum communication.
Quantum steering plays a key role for quantum technologies, such as one-way quantum computation and quantum communication. Here, we consider a vector cavity optomechanical scheme to create quantum steering between two orthogonal polarized lights and a mechanical vibration, where cavity modes are driven by short laser pulses. By controlling the polarization behavior of a light field, we not only manipulate the steering of the vibration via polarized light, but also reversibly switch between ordinary tripartite steering and collective steering. In addition, we find that bipartite steering is more sensitive to thermal noise than tripartite steering. As a result, collective steering can be achieved within a larger parameter range. Controllable quantum steering with such a vectorial device may provide effective resources to build up steered networks.
Multipartite quantum entanglement is a key resource for ensuring security in quantum network. We show that by using a unified parameter in terms of reduced noise variances one can determine different types of tripartite entanglement of a given state generated in a hybrid optomechanical system, where an atomic ensemble is located inside a single-mode cavity with a movable mirror, with different thresholds for each type. In particular, the special quantum states which allow both entanglement and steering genuinely shared among atom-light-mirror modes can be observed, even though there is no direct interaction between the mirror and the atomic ensemble. We further show the robustness against mechanical thermal noise and damping, the relaxation time of atomic ensemble, as well as the effect of gain factors involved in the criteria. Our analysis provides an experimentally achievable method to determine the type of tripartite quantum correlation in a way.
We have investigated the dynamical entanglement and quantum steering in a pulsed hybrid opto-electro-mechanical system. Using the symmetric and asymmetric criteria, the possibilities of bipartite entanglement, one-way steering, two-way steering, and collective tripartite steering have been studied between different output modes. In addition, the influence of the squeezing parameter on the amount of tripartite steering measurement is also examined. The results show that a higher electro-mechanical coupling rate leads to stronger tripartite steering. The microwave cavity mode can enhance the output quantum steering and remotely steers the optical cavity. Thus, the slower mode can steer the faster mode. Such hybrid systems can serve as frequency converters between microwave and optical domains and can have a profound impact on building quantum networks of microwave-operated superconducting quantum computers.
The theory of phase control of coherence, entanglement and quantum steering is developed for an optomechanical system composed of a single mode cavity containing a partially transmitting dielectric membrane and driven by short laser pulses. The membrane divides the cavity into two mutually coupled optomechanical cavities resulting in an effective three-mode closed loop system, two field modes of the two cavities and a mechanical mode representing the oscillating membrane. The closed loop in the coupling creates interfering channels which depend on the relative phase of the coupling strengths of the field modes to the mechanical mode. Populations and correlations of the output modes are calculated analytically and show several interesting phase dependent effects such as reversible population transfer from one field mode to the other, creation of collective modes, and induced coherence without induced emission. We find that these effects result from perfect mutual coherence between the field modes which is preserved even if one of the modes is not populated. The inseparability criterion for the output modes is also investigated and we find that entanglement may occur only between the field modes and the mechanical mode. We show that depending on the phase, the field modes can act on the mechanical mode collectively or individually resulting, respectively, in tripartite or bipartite entanglement. In addition, we examine the phase sensitivity of quantum steering of the mechanical mode by the field modes. Deterministic phase transfer of the steering from bipartite to collective is predicted and optimum steering corresponding to perfect EPR state can be achieved. These different types of quantum steering can be distinguished experimentally by measuring the coincidence rate between two detectors adjusted to collect photons of the output cavity modes. In particular, we find that the minima of the interference pattern of the coincidence rate signal the bipartite steering, while the maxima signal the collective steering.