Reverse quantum speed limit and minimum Hilbert space norm

Abstract

The reverse quantum speed limit (RQSL) gives an upper limit to the time for evolution between initial and final quantum states. We show that, in conjunction with the existence of a minimum time scale, the RQSL implies a lower limit to the norm of the change in a quantum state, and confirm that this limit is satisfied in two-state and ideal-measurement models. Such a lower limit is of relevance for interpretational issues in probability and for understanding the meaning of probability in Everett quantum theory.

Expanded discussion regarding significance for interpretation of probability and Everett quantum theory. 12 pp

References in corpus (2)

• Discreteness and the origin of probability in quantum mechanics
• Fundamental Limit on Angular Measurements and Rotations from Quantum Mechanics and General Relativity