Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure
The Groverian entanglement measure G({psi}) is applied to characterize pure quantum states vertical bar {psi}> of multiple qubits. This is an operational measure of entanglement in the sense that it quantifies the utility of the state vertical bar {psi}> as an initial state for the search algorithm. A convenient parametrization is presented, which allows us to calculate the Groverian measure analytically for certain states of high symmetry. A numerical procedure is used in order to calculate it for arbitrary pure states of multiple qubits. Using the Groverian measure to evaluate the entanglement produced by quantum algorithms may provide useful insightmore »