Year: 2026
Type: article
Abstract: In this paper, we examine the relationship of negative conditional quantum Kaniadakis entropy ([Formula: see text]-CQKE) with the fully entangled fraction (FEF) which is a substantial yardstick for quantum information processing protocols including teleportation, and quantum steerability, executed over four vital quantum states with maximally mixed marginals, the 2-qubit Werner state, the 2-qubit Weyl state, the 2-qudit Werner state and the isotropic state. We initiate our analysis in 2⊗2 systems, where we derive implicit bounds on FEF when the [Formula: see text]-CQKE takes negative values, i.e. when [Formula: see text]-CQKE [Formula: see text] for 2-qubit Werner state. Consequently, we derive the sufficient implicit bounds for a definitive claim on the nonusefulness of Werner state for quantum teleportation provided its visibility parameter succeeds to elude a critical region, the exception region 1, where the situation becomes inconclusive. Subsequently, we replicate the same for the 2-qubit Weyl state with some constraints augmented by an analogous exception region 2 and the correlation tensor matrix elements. Furthermore, we extend our investigation to [Formula: see text] states, commencing our analysis with the Isotropic state. We derive implicit bounds on FEF of the Isotropic state and the 2-qudit Werner state resembling the ones in the [Formula: see text] analysis. Additionally, we utilize the convoluted relationship between the FEF and quantum steerability to formulate propositions linking negative [Formula: see text]-CQKE to the [Formula: see text]-copy steerability of isotropic states for projective measurements, thereby reducing the intricacy of the study of [Formula: see text]-copy steerability directly via FEF. In the appendix section of this paper, we provide corroborative calculations and supplementary materials to the theorems presented in the main sections.
Authors: Narayan S Iyer, Shraddha Sharma
Institution: National Institute of Technology Rourkela
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Award: G4658518906
OpenAlex ID: W4415318191