How can I solve these GHZ, 3 qubit quantum state problems?

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The discussion centers on solving two challenging problems related to GHZ (Greenberger-Horne-Zeilinger) states in three-qubit quantum systems. The original poster expresses frustration after spending an entire day on these problems without success. A moderator has moved the thread to an advanced physics homework forum for better assistance. A user requests the poster to share relevant equations and any attempts made at finding a solution. The conversation highlights the need for collaboration and sharing of information to tackle complex quantum state problems.
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TL;DR Summary: I have spent all day on these 2 problems but i cannot solve them. Can somebody give me any clue on the solution?

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Moderator's note: Thread moved to advanced physics homework forum.

@MattiaBosco please post whatever relevant equations you have and what attempts you have made at a solution.
 
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