Aug 2026· Women in Optics and Photonics in India· Vol 14308, pp. 143080J - 143080J-4· 0 citations
Engineering
Abstract
We investigate bipartite two-qutrit pure states and analyze their entanglement properties using eigenvalue-based quantities of the reduced density matrix. In addition to the I-concurrence, we show that the determinant of the two-qutrit coefficient matrix defines a rank-sensitive geometric invariant proportional to √ λ1λ2λ3, where λi are the eigenvalues of the reduced density matrix. Unlike the I-concurrence, this invariant vanishes identically for all rank-2 states and is nonzero only for rank-3 states, thereby providing a direct characterization of genuine three-level correlations. Furthermore, we establish an operational interpretation of the invariant in terms of triple-path interference visibility in three-path optical interferometry. These results provide a compact geometric framework for identifying rank-structured entanglement in bipartite two-qutrit systems and reveal a direct connection between high-dimensional quantum correlations and multipath interference phenomena.
We investigate quantum correlations and coherence in bipartite systems using the universal triality relation that connects coherence, predictability, and entanglement. The geometric structure underlying entanglement in bipartite two-qubit and two-qutrit systems is analyzed using wedge products of post-measurement vecto...
Pratidhwani Swain, Ramita Sarkar, S. Tripathy et al.· Physica Scripta· 0 citations
We characterize bound entanglement in bipartite qutrit systems by combining the Positive Partial Transpose (PPT) criterion with a structural, non-completely positive map. Focusing on a comprehensive three-parameter bipartite qutrit family $\rho_{a,b,c}$, we present an exact analytical and geometric partitioning of the...
We derive a universal upper bound on the speed of multipartite entanglement generation. For arbitrary differentiable pure multipartite states undergoing parameter-dependent evolution, we prove that the rate of change of generalized concurrence is bounded by the square root of the quantum Fisher information (QFI). The p...
Zain Saleem, Da-Wei Luo, Anjala M. Babu et al.· 0 citations
Entanglement Distance (ED) was originally proposed as a geometric measure of entanglement derived from the Fubini-Study metric on the projective Hilbert space. Independently, the Meyer-Wallach and Scott measures quantify multipartite entanglement via linear entropy. In this work, we demonstrate that these two seemingly...
Lorenzo Capra, Lucio De Simone, Roberto Franzosi· 0 citations
Fisher information appears in quantum theory in two mathematically distinct settings: as a classical probability functional in variational reconstructions of Schrodinger dynamics and as the quantum Fisher metric of parameterized density operators. Here we examine how far these roles can be connected without identifying...
The characterization of high-dimensional states is important for quantum information processing. Here, we propose both linear and nonlinear entanglement criteria for states with unequal local dimensions and show that they offer complementary detection capabilities. These entanglement criteria are further generalized to...
