- #1
Robert Shaw
- 64
- 6
Alice and Bob are partial observers of states in a toy quantum Universe and widely discussed in the literature of Quantum Mechanics.
They see some states as separable and others as entangled. For Alice the partial measurement suboperator is diag(1,1,-1,-1) and Bob is diag(1,-1,1,-1).
Martians Ylc and Zog see the world differently. For Ylc adiag(1,1,1,1) and Zog adiag(1,-1,-1,1) ...antidiagonal matrices. Their eigenvectors are the maximally entangled states for Alice and Bob.
A state is prepared which is observed by Alice and Bob to be separable.
Ylc and Zog observe the same state and find it to be entangled.
This inconsistency between earthpersons and martians seems to be allowed in quantum mechanics.
Unless we invoke a rule that earthpersons cannot communicate with martians.
They see some states as separable and others as entangled. For Alice the partial measurement suboperator is diag(1,1,-1,-1) and Bob is diag(1,-1,1,-1).
Martians Ylc and Zog see the world differently. For Ylc adiag(1,1,1,1) and Zog adiag(1,-1,-1,1) ...antidiagonal matrices. Their eigenvectors are the maximally entangled states for Alice and Bob.
A state is prepared which is observed by Alice and Bob to be separable.
Ylc and Zog observe the same state and find it to be entangled.
This inconsistency between earthpersons and martians seems to be allowed in quantum mechanics.
Unless we invoke a rule that earthpersons cannot communicate with martians.