Shahid Rajaee Teacher Training University Journal of Discrete Mathematics and Its Applications 2981-0809 9 1 2024 03 01 Perfect State Transfer on Cayley Graphs over Groups 51 64 2118 10.22061/jdma.2024.10551.1066 EN Afsaneh Khalilipour Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, I. R. Iran Modjtaba Ghorbani Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, I. R. Iran Journal Article 2024 01 20 Perfect state transfer (<em>PST</em>) on graphs due to their significant applications in quantum information processing and quantum computations. In the present work, we establish a characterization of Cayley graphs over U<sub>6n</sub> group, having <em>PST</em>. Linear transformation perfect state transfer matrix representation Cayley graph https://jdma.sru.ac.ir/article_2118_af31a5ec00d358fd9a75eb5e5c57c54a.pdf