Journal
PHYSICAL REVIEW LETTERS
Volume 108, Issue 26, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.260405
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Funding
- Direct For Mathematical & Physical Scien
- Division Of Physics [1005373] Funding Source: National Science Foundation
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In quantum mechanics, the Heisenberg uncertainty relations and the Cramer-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.
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