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We present a new model of the Discrete-Time Open Quantum Walk (DTOQW) applicable to an arbitrary graph, thereby going beyond the case of quantum walks on regular graphs. The impact of noise is studied by constructing Kraus operators of different dimensions, making use of the Weyl operators. These Kraus operators are employed as the coin operators of the DTOQW. The walker dynamics is studied under the impact of non-Markovian amplitude damping, depolarizing and dephasing noise channels. In addition, the walk is implemented on arbitrary graphs, such as path graph, cycle graph, star graph, complete graph, and complete bipartite graph. The dynamics, due to the influence of noise, is gauged by computing the coherence and fidelity at different time steps. Further, the probability distribution, representing the availability of the quantum walker at different vertices of the graph, is computed at different time steps for the above noises.
Rani et al. (Tue,) studied this question.