Open AccessContradictions between different measures of quantum uncertainty
Author(s) -
Paloma Matía-Hernando,
Alfredo Luis
Publication year - 2012
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.86.052106
Subject(s) - physics , entropic uncertainty , uncertainty principle , statistical physics , metrology , harmonic oscillator , entropy (arrow of time) , quantum measurement , quantum mechanics , quantum , measurement uncertainty , variance (accounting) , operator (biology) , quantum metrology , harmonic mean , quantum fluctuation , component (thermodynamics) , quantum information , statistics , quantum network , mathematics , biochemistry , chemistry , accounting , repressor , transcription factor , business , gene
We show that variance and Shannon entropy provide contradictory conclusions for the uncertainty associated with the number operator for some families of states of harmonic oscillator systems with fixed mean number, and for the uncertainty of a spin component for states with and without fixed mean. We analyze this behavior in terms of the properties of these uncertainty measures. We explore their impact on quantum metrology, examining the limits to resolution caused by number fluctuations in diverse scenarios of phase-shift detection
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