Fault tolerant controlled quantum dialogue against collective noise<xref rid="cpb_29_1_010304fn1" ref-type="fn">*</xref><fn id="cpb_29_1_010304fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant No. 61502048), the Natural Science Foundation of Shanxi Province of China (Grant No. 201801D221159), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi Province of China (Grant No. 2019L0470), and Youth Research Foundation of Shanxi University of Finance and Economics in Shanxi Province of China (Grant No. QN-2016009).</p></fn>

Fault tolerant controlled quantum dialogue against collective noise**

Project supported by the National Natural Science Foundation of China (Grant No. 61502048), the Natural Science Foundation of Shanxi Province of China (Grant No. 201801D221159), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi Province of China (Grant No. 2019L0470), and Youth Research Foundation of Shanxi University of Finance and Economics in Shanxi Province of China (Grant No. QN-2016009).

Chang Li-Wei^{1, 2, †}, Zhang Yu-Qing¹, Tian Xiao-Xiong¹, Qian Yu-Hua², Zheng Shi-Hui³

The CQD protocol using the logical χ-type states against collective-dephasing noise.