Quantum correlations of qubit-qutrit systems under general collective dephasing

TL;DR

This paper investigates how quantum correlations like entanglement and local quantum uncertainty evolve in qubit-qutrit systems under general collective dephasing, considering arbitrary magnetic field orientations, with findings relevant for current experimental setups.

Contribution

It extends the study of collective dephasing to arbitrary magnetic field orientations in qubit-qutrit systems and analyzes correlation dynamics and conditions for non-zero quantum correlations.

Findings

Certain quantum states show freezing dynamics of entanglement and local quantum uncertainty.

Conditions for non-zero asymptotic entanglement and quantum uncertainty are identified.

Results are applicable to ion-trap experiments and can be experimentally verified.

Abstract

Most studies of collective dephasing for bipartite as well as multipartite quantum systems focus on a very specific orientation of magnetic field, that is, z-orientation. However, in practical situations, there are always small fluctuations in stochastic field and it is necessary that more general orientations of fields should be considered. We extend this problem to qubit-qutrit systems and study correlation dynamics for entanglement and local quantum uncertainty for some specific quantum states. We find that certain quantum states exhibit freezing dynamics both for entanglement and local quantum uncertainty. We analyze the asymptotic states and find the conditions for having non-zero entanglement and local quantum uncertainty. Our results are relevant for ion-trap experiments and can be verified with current experimental setups.