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

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SUMMARY

The discussion centers on solving advanced quantum state problems involving GHZ (Greenberger-Horne-Zeilinger) states and 3 qubits. The user expresses frustration after spending an entire day without arriving at a solution. The moderator encourages the user to share relevant equations and previous attempts to facilitate assistance.

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  • Knowledge of qubit representation and manipulation
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  • Study the mathematical framework for representing 3 qubit systems
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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?

Screenshot 2023-11-30 234835.png
Screenshot 2023-11-30 234904.png
 
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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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