In section IIIA (p11) Max Tegmark tries to prove that the integrated information Φ of a bell state is zero.(adsbygoogle = window.adsbygoogle || []).push({});

The definition of Φ that Tegmark uses is given by the mutual information I minimized over all possible factorizations.

The bell state has I=2 when written in the usual basis.

Tegmark then appears to argue that we can move to a basis in which the entire bell state is given by a single basis vector (and not a superposition of basis vectors), which is a completely factorizable state (which he apparently proves in equation 10) yielding Φ=0.

What I don't understand is how that counts as a factorization? Surely the valid bases are the infinity of spin-space bases, none of which allow for Φ to be zero. Or am I confusing factorizations with bases somehow?

Would love to hear from someone with a better grasp of the mathematical details!

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# Why is the integrated information of a Bell state = 0?

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