A theoretical study of nonclassical effects in optical and spin systems and their applications

TL;DR

This paper provides a comprehensive theoretical analysis of nonclassical states in optical and spin systems, exploring their generation, characterization, and applications in quantum communication and cryptography.

Contribution

It introduces new criteria for nonclassical state generation in nonlinear optical couplers, characterizes nonclassicality in spin systems, and proposes optimized quantum communication schemes.

Findings

Successful generation of higher-order nonclassical states in optical couplers.

Observation of quantum Zeno and anti-Zeno effects in symmetric couplers.

Development of secure quantum communication protocols with minimal entanglement.

Abstract

Nonclassical states, having no classical analogue, promise advantage in the performance in several fields of technology, such as computation, communication, sensing. This led to an escalated interest in the recent years for the generation and characterization of nonclassical states in various physical systems of interest. Keeping this in mind, we examined generation of various lower- and higher-order nonclassical states in both codirectional and contradirectional asymmetric nonlinear optical couplers operating under second harmonic generation with the help of moments-based criteria. Using another such system (a symmetric nonlinear optical coupler), we have also established the possibility of observing quantum Zeno and anti-Zeno effects and further reduced the obtained results to yield the corresponding expressions for the asymmetric coupler. These studies have been accomplished using a complete quantum description of the system considering all the field modes as weak. Further, characterization of nonclassicality in spin systems using quasiprobability distributions has been performed, which has also provided us the dynamics of the amount of nonclassicality (using nonclassical volume). As the reconstruction of quasiprobability distributions is possible with the help of tomograms accessible in the experiments, tomograms are computed here for both finite and infinite dimensional systems. Finally, a set of controlled quantum communication (both insecure and secure) schemes with minimum number of entangled qubits has been proposed, which is also analyzed over Markovian channels. The optimized controlled secure quantum communication scheme is observed to be reducible to several cryptographic tasks. Using this interesting observation, we obtained the performance of a set of cryptographic schemes over non-Markovian channels, too.