Undergrad Orthonormal Basis - Definition & Examples

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The discussion focuses on the definition of an orthonormal basis, with participants questioning the accuracy of a specific definition provided. There is a suggestion that a sign may be missing in the definition of M, which could lead to confusion. Additionally, one participant proposes an alternative phrasing, "the black adder," as a potentially better option. The conversation indicates a collaborative effort to clarify and improve the definition. Overall, the thread highlights the importance of precision in mathematical definitions.
The black vegetable
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Trying to find your Orthonormal basis
243412

Is this correct? If not any hints on how to find
243413

Many thanks
 
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It seems to me you are missing some sign in your definition of M. Otherwise notationally dubious but in essence fine.

Also, wouldn’t something like ”the black adder” sound better?
 
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thanks Orodruin very helpful, But I think I have a better idea, I think I'm missing a sign in my definition of M :)
 
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Thread 'EPR revisited'

In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...
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