Generalized modular values with non-classical pointer states

Abstract

Abstract: In this study, we investigate the generalized modular value scheme based on non-classical pointer states. We consider a typical von Neumann measurement with a discrete quantum pointer, where the pointer is a projection operator onto one of the states of the basis of the pointer Hilbert space. We separately calculate the conditional probabilities, Qm factors, and signal-to-noise ratios of quadrature operators of coherent, coherent squeezed, and Schrödinger cat pointer states and find that the non-classical pointer states can increase the negativity of the field and precision of measurement compared with semi-classical states in generalized measurement problems characterized by the modular value. Graphical abstract: [Figure not available: see fulltext.].