Optimal estimation of one-parameter quantum channels

Journal of Physics A: Mathematical and General

Volumn 39, Issue 26, 2006, Pages 8487-8505

  Sarovar, Mohan ^a   Milburn, G J ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745311968     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/26/015     Document Type: Article

References (28)

1. Helstrom C V 1976 Quantum Detection and Estimation Theory (New York: Academic)
2. Holevo A S 1982 Probabilistic and Statistical Aspects of Quantum Theory (Amsterdam: North-Holland)
3. Braunstein S and Caves C 1994 Statistical distance and the geometry of quantum states Phys. Rev. Lett. 72 3439
4. Fujiwara A and Nagaoka H 1995 Quantum Fisher metric and estimation for pure state models Phys. Lett. A 201 119
5. Barndorff-Nielsen O E and Gill R D 2000 Fisher information in quantum statistics J. Phys. A: Math. Gen. 30 4481
6. Gill R D and Massar S 2000 State estimation for large ensembles Phys. Rev. A 61 042312
7. Holevo A S 2004 Asymptotic estimation of shift parameter of a quantum state Prob. Theory Appl. 49 207
8. Paris M and Rehacek J (ed) 2004 Quantum State Estimation (Lecture Notes in Physics, vol 649) (Berlin: Springer)
9. Wootters W K 1981 Statistical distance and Hilbert space Phys. Rev. D 23 357
10. Barndorff-Nielsen O E, Gill R D and Jupp P E 2003 On quantum statistical inference J. R. Stat. Soc. B 65 775
11. Braunstein S, Caves C and Milburn G J 1994 Generalized uncertainty relations: theory, examples, and Lorentz invariance Ann. Phys. 247 135
12. Ballester M A 2004 Estimation of unitary quantum operations Phys. Rev. A 69 022303
13. Fujiwara A 2001 Quantum channel identification problem Phys. Rev. A 63 042304
14. Fujiwara A and Hiroshi I 2003 Quantum parameter estimation of a generalized Pauli channel J. Phys. A: Math. Gen. 36 8093
15. Sasaki M, Ban M and Barnett S M 2002 Optimal parameter estimation of depolarizing channel Phys. Rev. A 66 022308
16. Choi M D 1975 Completely positive linear maps on complex matricies Linear Algebra Appl. 10 285
17. Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Lecture Notes in Physics, vol 190) (Berlin: Springer)
18. Nielsen M A and Chuang I L 2001 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
19. Nielsen M A, Caves C M, Schumacher B and Barnum H 1998 Information-theoretic approach to quantum error correction and reversible measurement Proc. R. Soc. A 454 257-486
20. Benatti F and Floreanini R 2005 Open quantum dynamics: complete positivity and entanglement Int. J. Mod. Phys. B 19 3063
21. Cover T M and Thomas J A 1991 Elements of Information Theory (New York: Wiley-Interscience)
22. Nahi N E 1969 Estimation Theory and Applications (New York: Wiley)
23. D'Ariano G M, Lo Presti P and Paris M G A 2001 Using entanglement improves the precision of quantum measurements Phys. Rev. Lett. 87 270404
24. Arrighi P and Patricot C 2004 On quantum operations as quantum states Ann. Phys. 311 26
25. Tyryshkin A M, Lyon S A, Astashkin A V and Raitsimring A M 2003 Electron spin relaxation times of phosphorus donors in silico Phys. Rev. B 68 193207
26. Khaetskii A V, Loss D and Glazman L 2002 Electron spin decoherence in quantum dots due to interaction with nuclei Phys. Rev. Lett. 88 186802
27. Vion D, Aassime A, Cottet A, Joyez P, Pothier H, Urbina C, Esteve D and Devoret M H 2002 Manipulating the quantum state of an electrical circuit Science 296 886
28. Hahn E 1950 Spin echoes Phys. Rev. 80 580