Building on the recently developed quantum state texture resource theory, we demonstrate that the difference between maximum and minimum textures is a valid purity monotone in any dimension and provide a lower bound for existing purity measures. We introduce a texture-based resource monotone applicable across general convex resource theories, encompassing quantum coherence, nonstabilizerness, and entanglement. In particular, we propose the notion of nonlocal texture, which corresponds to the geometric measure of bipartite and multipartite entanglement in pure states. Furthermore, we demonstrate that the texture of the entire ground state or its subsystems can effectively signal quantum phase transitions in the Ising chain under both transverse and longitudinal magnetic fields, offering a powerful tool for characterizing quantum criticality.

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• Quantum coherence & coherence measures
• Quantum correlations in quantum information
• Quantum entanglement
• Quantum information theory
• Quantum simulation
• Resource theories