A quantum probability splitter and its application to qubit preparation

Abstract

This paper presents a quantum probability splitter, i.e. a quantum circuit that modifies the probability amplitudes of a qubit so that the probability on the selected basis state is halved. It also presents a potential application of this circuit related to qubit preparation: it shows how a qubit is prepared to a superposition of any valid pair of basis states probabilities, by repeated application of the quantum probability splitter. © 2012 The Author(s).