Reverse quantum speed limit and minimum Hilbert space norm

• URL: http://arxiv.org/abs/2110.01369v2
• Date: Mon, 28 Mar 2022 16:16:12 GMT
• Title: Reverse quantum speed limit and minimum Hilbert space norm
• Authors: Mark A. Rubin
• Abstract summary: 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.
• Score: 0.07614628596146598
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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