Quantum Fisher information of entangled coherent states in the presence of photon loss

被引:182
作者
Zhang, Y. M. [1 ]
Li, X. W. [1 ]
Yang, W. [2 ]
Jin, G. R. [1 ]
机构
[1] Beijing Jiaotong Univ, Dept Phys, Beijing 100044, Peoples R China
[2] Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
来源
PHYSICAL REVIEW A | 2013年 / 88卷 / 04期
关键词
INTERFEROMETRY; METROLOGY; NOISE; LIMIT;
D O I
10.1103/PhysRevA.88.043832
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We investigate the performance of entangled coherent states for quantum-enhanced phase estimation. An exact analytical expression of quantum Fisher information is derived to show the role of photon losses on the ultimate phase sensitivity. We find a transition of the sensitivity from the Heisenberg scaling to the classical scaling due to quantum decoherence of the photon state. This quantum-classical transition is uniquely determined by the number of photons being lost, instead of the number of incident photons or the photon loss rate alone. Our results also reveal that a crossover of the sensitivity between the entangled coherent state and the NOON state can occur even for very small photon loss rate.
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页数:7
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共 63 条
[21]   Optical Phase Estimation in the Presence of Phase Diffusion [J].
Genoni, Marco G. ;
Olivares, Stefano ;
Paris, Matteo G. A. .
PHYSICAL REVIEW LETTERS, 2011, 106 (15)
[22]   Generation of optical coherent-state superpositions by number-resolved photon subtraction from the squeezed vacuum [J].
Gerrits, Thomas ;
Glancy, Scott ;
Clement, Tracy S. ;
Calkins, Brice ;
Lita, Adriana E. ;
Miller, Aaron J. ;
Migdall, Alan L. ;
Nam, Sae Woo ;
Mirin, Richard P. ;
Knill, Emanuel .
PHYSICAL REVIEW A, 2010, 82 (03)
[23]   Nonlinear interferometer as a resource for maximally entangled photonic states: Application to interferometry [J].
Gerry, CC ;
Benmoussa, A ;
Campos, RA .
PHYSICAL REVIEW A, 2002, 66 (01) :8
[24]   Heisenberg-limit interferometry with four-wave mixers operating in a nonlinear regime [J].
Gerry, CC .
PHYSICAL REVIEW A, 2000, 61 (04) :7
[25]   Quantum-enhanced measurements: Beating the standard quantum limit [J].
Giovannetti, V ;
Lloyd, S ;
Maccone, L .
SCIENCE, 2004, 306 (5700) :1330-1336
[26]  
Giovannetti V, 2011, NAT PHOTONICS, V5, P222, DOI [10.1038/nphoton.2011.35, 10.1038/NPHOTON.2011.35]
[27]  
Helstrom C. W, 1976, Quantum Detection and Estimation Theory
[28]   High-photon-number path entanglement in the interference of spontaneously down-converted photon pairs with coherent laser light [J].
Hofmann, Holger F. ;
Ono, Takafumi .
PHYSICAL REVIEW A, 2007, 76 (03)
[29]   All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry [J].
Hofmann, Holger F. .
PHYSICAL REVIEW A, 2009, 79 (03)
[30]  
Holevo A. S., 1982, Probabilistic and statistical aspect of quantum theory