How to transform this problem into SOCP

1

when I read a paper i met this problem
how can I transform this into SOCP thanks! I think the most important thing is the Hermitian matrices. It is divided into positive semidefinite matrix and negative semidefinite matrix. SO i don’t konw how to sovle it in matlab codes THanks again!

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2

This question is unrelated to CVX. So you should ask at stack exchange or similar forum.

3

THANKS for your answer lol