Quantum speed limits based on quantifiers of quantum-state texture

• URL: http://arxiv.org/abs/2609.08752v1
• Date: Tue, 08 Sep 2026 13:47:50 GMT
• Title: Quantum speed limits based on quantifiers of quantum-state texture
• Abstract summary: Quantum speed limits impose intrinsic lower bounds on the shortest time scale for quantum system evolution.<n>We investigate the interplay between quantum speed limits and quantum-state texture via several canonical quantifiers.<n>Our results reveal that quantum speed limits derived from quantum-state texture capture the fundamental constraints on quantum evolutionary speed.
• Score: 1.3516166138488048
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum speed limits impose intrinsic lower bounds on the shortest time scale for quantum system evolution. As an emerging paradigm in quantum resource theory, quantum-state texture has attracted research interest amid the rapid advancement of quantum theory. Herein, we investigate the interplay between quantum speed limits and quantum-state texture via several canonical quantifiers, including trace distance, state rugosity and Jensen-Shannon divergence. To demonstrate our findings, we analyze the minimum evolution time of physical systems subject to dephasing and dissipative dynamics. For the Jensen-Shannon divergence, we further explore nonunitary dynamics described by completely positive and trace-preserving maps, taking the amplitude damping channel as a typical example. In addition, we explore the tightness of these bounds in the considered dynamical models. Our results reveal that quantum speed limits derived from quantum-state texture capture the fundamental constraints on quantum evolutionary speed, with promising applications in quantum computing, quantum control and quantum metrology.

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