Optimum measurements for discrimination among symmetric quantum states and parameter estimation

Autor:	Rei Momose, Masashi Ban, Osamu Hirota, Keiko Kurokawa
Rok vydání:	1997
Předmět:	POVM Mathematical optimization Quantum t-design Physics and Astronomy (miscellaneous) Probability amplitude Quantum state General Mathematics Quantum phase estimation algorithm Applied mathematics Quantum algorithm Quantum tomography Quantum relative entropy Mathematics
Zdroj:	International Journal of Theoretical Physics. 36:1269-1288
ISSN:	1572-9575 0020-7748
DOI:	10.1007/bf02435921
Popis:	An optimum quantum measurement that minimizes the average probability of error is considered for symmetric quantum states. The positive operator-valued measure (POM) which satisfies the necessary and sufficient condition for the minimization of the average probability of error is derived by using the quantum Bayes strategy. It is also shown that the mutual information obtained in the optimum quantum measurement becomes extremum. Furthermore, an optimum quantum measurement for parameter estimation is found for symmetric quantum states by applying the maximum-likelihood estimation. The optimum POM for the parameter estimation has the same structure as that for the quantum state discrimination.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::597699d7e29287fc43e5e4de8f6259bd https://doi.org/10.1007/bf02435921 Zobrazit plný text záznamu Full text from SpringerLink