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

Thread starter MattiaBosco
Start date Nov 30, 2023
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Physics Quantum

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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.

Nov 30, 2023

MattiaBosco

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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Nov 30, 2023

PeterDonis

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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.

Thread 'Product of two boosts and then two inverse boosts is rotation matrix'

So is there some elegant way to do this or am I just supposed to follow my nose and sub the Taylor expansions for terms in the two boost matrices under the assumption ##v,w\ll 1##, then do three ugly matrix multiplications and get some horrifying kludge for ##R## and show that the product of ##R## and its transpose is the identity matrix with det(R)=1? Without loss of generality I made ##\mathbf{v}## point along the x-axis and since ##\mathbf{v}\cdot\mathbf{w} = 0## I set ##w_1 = 0## to...

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