Lindbladian-Induced Alignment in Quantum Measurements

R. Englman, A. Yahalom

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish
Article number19
JournalFoundations of Physics
Issue number1
StatePublished - Feb 2023


  • Density matrix evolution
  • Lindblad operators
  • Quantum measurement theory
  • Quantum speed limit
  • Quantum state resolution


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