Quantum Measurement Bounds beyond the Uncertainty Relations

Author(s)
Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo
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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.
Date issued
2012-06
URI
http://hdl.handle.net/1721.1/73516
Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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
ISSN
0031-9007
1079-7114
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