TY - JOUR
T1 - Commuting multiparty quantum observables and local compatibility
JF - Phys. Rev. A 72 (2005) 012112
Y1 - 2005
A1 - Claudio Altafini
AB - A formula for the commutator of tensor product matrices is used to shows that, for qubits, compatibility of quantum multiparty observables almost never implies local compatibility at each site and to predict when this happens/does not happen in a concise manner. In particular, it is shown that two ``fully nontrivial\\\'\\\' $n$-qubit observables are compatible locally and globally if and only if they are equal up to sign. In addition, the formula gives insight into the construction of new paradoxes of the type of the Kochen-Specker Theorem, which can then be easily rephrased into proposals for new no hidden variable experiments of the type of the ``Bell Theorem without inequalities\\\'\\\'.
UR - http://hdl.handle.net/1963/2228
U1 - 2016
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -