A review on perfect state transfer and pretty good state transfer of graphs

نویسندگان

1 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, I. R. Iran

2 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, I. R. Iran

3 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, I. R. Iran

doi
10.22061/jdma.2024.11198.1091
چکیده

In this study, we review two significant topics: perfect State Transfer (PST) and Pretty Good State Transfer (PGST). These concepts involve designing interactions within a chain of spins on graph structures of networks, enabling a quantum state initially placed at one end to be perfectly or pretty transferred to the opposite end within a specified timeframe. PST and PGST play crucial roles in applications such as quantum information processing, quantum communication networks, and quantum chemistry