Work

Quantum Measurement Bounds beyond the Uncertainty Relations

Year: 2012

Type: article

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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.108.260405

Authors: Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone

Institutions: Scuola Normale Superiore, Istituto Nanoscienze, National Enterprise for NanoScience and NanoTechnology, Massachusetts Institute of Technology, University of Pavia, Istituto Nazionale di Fisica Nucleare, Sezione di Pavia

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Defense Advanced Research Projects Agency

OpenAlex ID: W2043396597

FWCI: 8.821

Cites: 30

Cited by: 70

Related to: 10