RT Journal Article
T1 Sub-Heisenberg estimation of non-random phase shifts
A1 Rivas Vargas, Ángel
A1 Luis Aina, Alfredo
AB We provide evidence that the uncertainty in detection of small and deterministic phase-shift deviations from a working point can be lower than the Heisenberg bound, for a fixed finite mean number of photons. We achieve that by exploiting nonlinearity of estimators and coherence with the vacuum.
PB IOP Publishing
SN 1367-2630
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/44589
UL https://hdl.handle.net/20.500.14352/44589
LA eng
NO [1] Giovannetti V, Lloyd S and Maccone L 2006 Phys. Rev. Lett. 96 010401[2] Durkin G A and Dowling J P 2007 Phys. Rev. Lett. 99 070801 Pezzé L and Smerzi A 2009 Phys. Rev. Lett. 102 100401 Zwierz M, Pérez-Delgado C A and Kok P 2010 Phys. Rev. Lett. 105 180402[3] Boixo S, Datta A, Flammia S T, Shaji A, Bagan E and Caves C M 2007 Phys. Rev. A 77 012317[4] Shapiro J H, Shepard S R and Wong N C 1989 Phys. Rev. Lett. 62 2377[5] Braunstein S L, Lane A S and Caves C M 1992 Phys. Rev. Lett. 69 2153 Lane A S, Braunstein S L and Caves C M 1992 Phys. Rev. A 47 1667 Braunstein S L 1994 Phys. Rev. A 49 69[6] Hradil Z and Shapiro J 1992 Quantum Opt. 4 31[7] Ou Z Y 1997 Phys. Rev. A 55 2598[8] Hofmann H F 2009 Phys. Rev. A 79 033822[9] Hyllus P, Pezzé L and Smerzi A 2010 Phys. Rev. Lett. 105 120501[10] Anisimov P M, Raterman G M, Chiruvelli A, PlickWN, Huver S D, Lee H and Dowling J P 2010 Phys. Rev. Lett. 104 103602[11] Joo J, Munro W J and Spiller T P 2011 Phys. Rev. Lett. 107 083601 Zhang Y R, Jin G R, Cao J P, Liu W M, Fan H and Lloyd S 2011 arXiv:1105.2990[12] Giovannetti V, Lloyd S and Maccone L 2012 Phys. Rev. Lett 108 260405 Giovannetti V and Maccone L 2012 Phys. Rev. Lett 108 210404[13] Hall M J W, Berry D W, Zwierz M and Wiseman H M 2012 Phys. Rev. A 85 041802 Hall M J W and Wiseman H M 2012 New J. Phys. 14 033040[14] Tsang M 2012 Phys. Rev. Lett 108 230401[15] Nair R 2012 arXiv:1204.3761[16] Gao Y and Lee H 2012 arXiv:1204.6449[17] Helstrom C W 1967 Phys. Lett. A 25 101 Helstrom C W 1968 IEEE Trans. Inform. Theory IT-14 234 Helstrom C W 1976 Quantum Detection and Estimation Theory (New York: Academic)[18] Braunstein S L and Caves C M 1994 Phys. Rev. Lett. 72 3439[19] Levy B C 2008 Principles of Signal Detection and Parameter Estimation (New York: Springer)[20] Poor H V 1994 An Introduction to Signal Detection and Estimation (New York: Springer)[21] Lehmann E L and Casella G 1998 Theory of Point Estimation (New York: Springer)[22] Lücke B et al 2011 Science 334 773[23] Luis A 2004 Phys. Lett. A 329 8[24] Caves C M 1981 Phys. Rev. D 23 1693[25] Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)[26] Monras A 2006 Phys. Rev. A 73 033821[27] Luo J, Tu L-C, Hu Z-K and Luan E-J 2003 Phys. Rev. Lett. 90 081801
NO © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. We are grateful to Professors A Smerzi, L Maccone, M Tsang and M J W Hall for useful discussions. We acknowledge financial support from the project QUITEMAD S2009-ESP-1594 of the Consejeria de Educacion de la Comunidad de Madrid. AR acknowledges support from MICINN FIS2009-10061. AL acknowledges support from project no. FIS2008-01267 of the Spanish Direccion General de Investigacion del Ministerio de Ciencia e Innovacion.
NO Comunidad de Madrid
NO Ministerio de Ciencia e Innovacion (MICINN), España
DS Docta Complutense
RD 8 may 2024