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EnglishIn 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.
| Titolo: | Quantum Measurement Bounds beyond the Uncertainty Relations |
| Autori: | |
| Data di pubblicazione: | 2012 |
| Rivista: | |
| Abstract: | 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. |
| Handle: | http://hdl.handle.net/11384/38594 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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