  We generalize the Quantum Geometric Tensor by replacing a Hamiltonian with a
modular Hamiltonian. The symmetric part of the Quantum Geometric Tensor
provides a Fubini-Study metric, and its anti-symmetric sector gives a Berry
curvature. Now the generalization or Quantum Modular Geometric Tensor gives a
Kinematic Space and a modular Berry curvature. Here we demonstrate the
emergence by focusing on a spherical entangling surface. We also use the result
of the identity Virasoro block to relate the connected correlator of two Wilson
lines to the two-point function of a modular Hamiltonian. This result realizes
a novel holographic entanglement formula for two intervals of a general
separation. This formula does not only hold for a classical gravity sector but
also Quantum Gravity. The formula also provides a new Quantum Information
interpretation to the connected correlators of Wilson lines as the mutual
information. Our study provides an opportunity to explore Quantum Kinematic
Space through Quantum Modular Geometric Tensor and hence go beyond symmetry.
