Lindbladian-Induced Alignment in Quantum Measurements
- URL: http://arxiv.org/abs/2301.02664v1
- Date: Fri, 6 Jan 2023 09:46:57 GMT
- Title: Lindbladian-Induced Alignment in Quantum Measurements
- Authors: Robert Englman and Asher Yahalom
- Abstract summary: An expression of the Lindbladian form is proposed that ensures an unambiguous time-continuous reduction of the initial system-pointer wave-packet to one in which the readings and the observable's values are aligned.
The jump operators are in the basis of the observables, with uniquely determined parameters derived from the measurement set-up.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: An expression of the Lindbladian form is proposed that ensures an unambiguous
time-continuous reduction of the initial system-pointer wave-packet to one in
which the readings and the observable's values are aligned, formalized as the
transition from an outer product to an inner product of the system's and
apparatus' density matrices. The jump operators are in the basis of the
observables, with uniquely determined parameters derived from the measurement
set-up (thereby differing from S. Weinberg's Lindbladian resolution of
wave-packet formalism) and conforming to Born's probability rules. The novelty
lies in formalising the adaptability of the surroundings (including the
measuring device) to the mode of observation. Accordingly, the transition is of
finite duration (in contrast to its instantaneousness in the von Neumann's
formulation). This duration is estimated for a simple half-spin-like model.
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