Regular Article

Generalized modular values with non-classical pointer states

¹ School of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi, Xinjiang 830054, P.R. China
² Laboratory of Novel Light Source and Micronano-Optics, Xinjiang Normal University, Urumqi, Xinjiang 830054, P.R. China

^a e-mail: yusufturek@xjnu.edu.cn

Received: 1 June 2018
Received in final form: 6 September 2018
Published online: 22 November 2018

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, Q_m 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.