I look at wikipedia.org/wiki/Bell_state(adsbygoogle = window.adsbygoogle || []).push({});

and use the same notations.

The article says that there are just 4 Bell states.

Is not [tex]|\xi^+\rangle = \frac{1}{\sqrt{2}} (|0\rangle_A \otimes |+\rangle_B + |1\rangle_A \otimes |-\rangle_B)[/tex]

another maximally entangled state?

The Schmidt decomposition gives equal Schmidt coefficients.

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# Definition of bell states

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