Abstract

Applications of quantum mechanics in the computational and information processing tasks is a recent research interest among the researchers. Certain operations which are impossible to achieve in the description of quantum mechanics are known as no-go theorems. One such theorem is no-splitting theorem of quantum states. The no-splitting theorem states that the information in an unknown quantum bit is an inseparable entity and cannot be split into two complementary qubits. In this work, we try to find out the class of operators for which the splitting is possible in a probabilistic way. The work also aims to find the connection between the unitary operators and probabilistic splitting.