Quantum Measurement Bounds beyond the Uncertainty Relations
Name
Giovannetti-2012-Quantum Measurement Bounds beyond the Uncertainty Relations.pdf
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167.87 KB
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Author(s)
Giovannetti, Vittorio
Lloyd, Seth
Maccone, Lorenzo
Date Issued
June 2012
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Giovannetti, Vittorio, Seth Lloyd, and Lorenzo Maccone. “Quantum Measurement Bounds Beyond the Uncertainty Relations.” Physical Review Letters 108.26 (2012): 260405. © 2012 American Physical Society.
Version
Final published version
Abstract
In quantum mechanics, the Heisenberg uncertainty relations and the Cramér-Rao inequalities typically limit the precision in the estimation of a parameter through the standard deviation of a conjugate observable. Here we extend these relations by giving a bound to the precision of a parameter in terms of the expectation value of the conjugate observable. This has both foundational and practical consequences: in quantum optics it resolves a controversy over which is the ultimate precision in interferometry.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.108.260405
