As an application of quantum information in Smart Cities, we introduce a technique to freeze the accelerated information and consequently it is protected during the communication between the Smart Cities’ users. It is assumed that, the two users share different dimension sizes of particles. The technique depends on local operations, where it is allowed that each particle interacts locally with a phase channel. We show that, the possibility of freezing the information of quantum channel between the users depends on the initial state setting parameters, and the initial acceleration parameter strength of the phase channel. It is shown that, one may increase the possibility of freezing the estimation degree of the parameters and consequently secure communication in the Smart Cities, if only the larger dimension system or both particles pass through the phase channel. Moreover, for small values of initial acceleration and large values of the channel strength, the size of the freezing estimation areas increases. The results may be helpful for Smart cities, where one can improve the efficiency sending information, encoding information, and secure communication. © 2018 Institution of Engineering and Technology. All rights reserved.