On the general problem of quantum phase estimation

1998/11/01 by G. M. D'Ariano, G.M D'Ariano, C. Macchiavello +3 · 7 citations
Computer Science · Mathematics · Physics and Astronomy · #Mathematical Analysis and Transform Methods #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1016/s0375-9601(98)00702-6

published as Phys.Lett. A248 (1998) 103 · 11 pages. Elsart package used

openalex publication_date 1998/11/01 · arxiv created 1998/12/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The problem of estimating a generic phase-shift experienced by a quantum state is addressed for a generally degenerate phase shift operator. The optimal positive operator-valued measure is derived along with the optimal input state. Two relevant examples are analyzed: i) a multi-mode phase shift operator for multipath interferometry; ii) the two mode heterodyne phase detection.

Citations

• Two-mode heterodyne phase detection

Cited by

• Efficient Use of Quantum Resources for the Transmission of a Reference Frame
• Covariant quantum measurements that maximize the likelihood
• Extremal covariant positive operator valued measures
• Optimal quantum estimation of the coupling between two bosonic modes
• Isotropic phase squeezing and the arrow of time
• Optimal estimation of squeezing
• Phase-covariant cloning of coherent states