Understanding the Adjoint of |01> in Quantum Computing

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The discussion focuses on verifying whether the bra vector ⟨01| is the adjoint of the ket vector |01⟩ in quantum computing. Participants analyze the mathematical properties of adjoint vectors and provide insights into the inner product calculations. The correctness of the user's work is evaluated, with emphasis on the definitions and operations involved in quantum mechanics. Clarifications on notation and conventions in quantum state representation are also addressed. The conversation ultimately seeks to confirm the user's understanding of adjoint relationships in quantum states.
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Homework Statement
Is <01| the adjoint of |01>?
Relevant Equations
adjoint(|01>)
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Is there a way for you to check if ## \langle 0 1 |## is the "adjoint" of ## | 0 1 \rangle##?
 
There's what I did in the show my work section; I'm asking if it's correct.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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