“…This quantization operation overcomes the communication constraint and significantly reduces the storage consumption (Rabbat & Nowak, 2005;Nedić, Olshevsky, Ozdaglar, & Tsitsiklis, 2008). Hence, quantization scheme has been widely studied in distributed consensus and distributed optimization problems recently (Yi & Hong, 2014;Li, Liu, Soh, & Xie, 2017;Ma, Ji, Sun, & Feng, 2018;Lei, Yi, Shi, & Anderson, 2020;Chen & Ji, 2020). Generally speaking, the related quantization works mainly focus on the following three problems: i) How can it ensure convergence even with inexact iterations throughout the distributed and quantized algorithm?…”