Phys. Rev. A 67, 062302 (2003) [5 pages]

Optimal estimation of multiple phases

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Chiara Macchiavello
Instituto Nazionale per la Fisica della Materia (INFM) and Dipartimento di Fisica “A. Volta,” Via Bassi 6, I-27100 Pavia, Italy

Received 31 January 2003; published 18 June 2003

We study the issue of simultaneous estimation of several phase shifts induced by commuting operators on a quantum state. We derive the optimal positive-operator-valued measure corresponding to the multiple-phase estimation. In particular, we discuss the explicit case of the optimal detection of double phase for a system of identical qutrits and generalize these results to optimal multiple-phase detection for d-dimensional quantum states.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.67.062302
DOI: 10.1103/PhysRevA.67.062302
PACS: 03.67.-a, 03.65.-w

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