Derives explicit analytical formulas connecting Bloch and Majorana geometric representations of quantum states, enabling correlation analysis and parameter-reduced optimization of symmetric multiqubit systems.

Derives explicit analytical formulas connecting Bloch and Majorana geometric representations of quantum states, enabling correlation analysis and parameter-reduced optimization of symmetric multiqubit systems.
Analysis reveals that the imaginary part of the quantum geometric tensor for mixed states cannot serve as a true U(1) connection curvature, displaying non-quantized ambiguities absent in pure states.
Quantum geometric structures—Berry curvature, metric tensor & connections—govern graviton transport through curved spacetime, unifying chiral vortical effects and gravitomagnetic responses via spinor-helicity formalism.
First theoretical evidence that rapidly changing electromagnetic fields alter Hilbert space geometry by inducing quantum state non-orthogonality, suggesting dynamic metric structures analogous to spacetime curvature in general relativity.