Proceedings of the International Workshop "Quantum Entanglement in Physical and Information Sciences" Centro di Ricerca Matematica Ennio DeGiorgi, Scuola Normale Superiore; December 14—18, 2004, Pisa, Italy – Eds. C. Macchiavello, R. Fazio and G. M. PalmaNo Access

MAXIMUM LIKELIHOOD ESTIMATION FOR A GROUP OF PHYSICAL TRANSFORMATIONS

GIULIO CHIRIBELLA

QUIT, Dipartimento di Fisica "A. Volta", Università di Pavia, Via Bassi 6, Pavia, 27100, Italy

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GIACOMO MAURO D'ARIANO

QUIT, Dipartimento di Fisica "A. Volta", Università di Pavia, Via Bassi 6, Pavia, 27100, Italy

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PAOLO PERINOTTI

QUIT, INFM, Via Bassi 6, Pavia, 27100, Italy

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, and

MASSIMILIANO F. SACCHI

QUIT, INFM, Via Bassi 6, Pavia, 27100, Italy

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https://doi.org/10.1142/S0219749906002018Cited by:17 (Source: Crossref)

Abstract

The maximum likelihood strategy for the estimation of group parameters allows one to derive in a general fashion optimal measurements, optimal signal states, and their relations with other information theoretical quantities. These results provide deep insight into the general structure underlying optimal quantum estimation strategies. The entanglement between representation spaces and multiplicity spaces of the group action appears to be the unique kind of entanglement which is really useful for the optimal estimation of group parameters.

Keywords:

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