Certainty relations, mutual entanglement, and nondisplaceable manifolds
Certainty relations, mutual entanglement, and nondisplaceable manifolds
We derive explicit bounds for the average entropy characterizing measurements of a pure quantum state of size $N$ in $L$ orthogonal bases. Lower bounds lead to novel entropic uncertainty relations, while upper bounds allow us to formulate universal certainty relations. For $L=2$ the maximal average entropy saturates at $logN$ because …