Time-bin-encoding-based remote states generation of nitrogen-vacancy centers through noisy channels**Project supported by the National Natural Science Foundation of China (Grant Nos. 11264042, 61465013, 11465020, and 11165015), the Program for Chun Miao Excellent Talents of Jilin Provincial Department of Education (Grant No. 201316), and the Talent Program of Yanbian University of China (Grant No. 950010001).

Abstract

We design proposals to generate a remote Greenberger–Horne–Zeilinger (GHZ) state and a W state of nitrogen-vacancy (NV) centers coupled to microtoroidal resonators (MTRs) through noisy channels by utilizing time-bin encoding processes and fast-optical-switch-based polarization rotation operations. The polarization and phase noise induced by noisy channels generally affect the time of state generation but not its success probability and fidelity. Besides, the above proposals can be generalized to n-qubit between two or among n remote nodes with success probability unity under ideal conditions. Furthermore, the proposals are robust for regular noise-changeable channels for the n-node case. This method is also useful in other remote quantum information processing tasks through noisy channels.