Geodesic
Optimal quantum measurements
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 319-326 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An optimal compatible measurement, in the sense of the mean-square error, of canonical variables $p$ and $q$ is found. It is shown that this measurement is described by an operator-valued measure defined by a family of coherent states. Problems of optimal measurements of the parameters of quasifree states are also considered. 
@article{TMF_1973_17_3_a1,
     author = {A. S. Holevo},
     title = {Optimal quantum measurements},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {319--326},
     year = {1973},
     volume = {17},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a1/}
}
TY  - JOUR
AU  - A. S. Holevo
TI  - Optimal quantum measurements
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 319
EP  - 326
VL  - 17
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a1/
LA  - ru
ID  - TMF_1973_17_3_a1
ER  - 
%0 Journal Article
%A A. S. Holevo
%T Optimal quantum measurements
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 319-326
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a1/
%G ru
%F TMF_1973_17_3_a1
A. S. Holevo. Optimal quantum measurements. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 3, pp. 319-326. http://geodesic.mathdoc.fr/item/TMF_1973_17_3_a1/

[1] Dzh. fon Neiman, Matematicheskie osnovy kvantovoi mekhaniki, «Nauka», 1964 | MR

[2] A. S. Holevo, Proc. 2nd Japan-USSR symposium on probability theory, vol. 1, 1972, 22 | MR

[3] C. W. Helstrom, J. W. S. Liu, J. P. Gordon, Proc. IEEE, 58 (1970), 1978 | DOI | MR

[4] C. W. Helstrom, J. Statist. Physics, 1 (1969), 231 | DOI | MR

[5] G. Loupias, S. Miracle-Sole, Commun. Math. Phys., 2 (1966), 31 | DOI | MR | Zbl

[6] J. C. T. Pool, J. Math. Phys., 7 (1966), 66 | DOI | MR | Zbl

[7] A. S. Kholevo, Probl. peredachi inf., 6:4 (1970), 42 | MR

[8] I. Sigal, Matematicheskie problemy relyativistskoi fiziki, «Mir», 1968 | MR

[9] R. J. Glauber, Phys. Rev., 131 (1963), 2766 | DOI | MR

[10] R. V. Kadison, Ann. Math., 56 (1952), 494 | DOI | MR | Zbl