Quantum metrology: Dynamics versus entanglement

被引:190
作者
Boixo, Sergio [1 ,2 ]
Datta, Animesh [1 ]
Davis, Matthew J. [3 ]
Flammia, Steven T. [4 ]
Shaji, Anil [1 ]
Caves, Carlton M. [1 ,3 ]
机构
[1] Univ New Mexico, Dept Phys & Astron, Albuquerque, NM 87131 USA
[2] Los Alamos Natl Lab, Los Alamos, NM 87545 USA
[3] Univ Queensland, Sch Phys Sci, Brisbane, Qld 4072, Australia
[4] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
基金
澳大利亚研究理事会;
关键词
D O I
10.1103/PhysRevLett.101.040403
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A parameter whose coupling to a quantum probe of n constituents includes all two-body interactions between the constituents can be measured with an uncertainty that scales as 1/n(3/2), even when the constituents are initially unentangled. We devise a protocol that achieves the 1/n(3/2) scaling without generating any entanglement among the constituents, and we suggest that the protocol might be implemented in a two-component Bose-Einstein condensate.
引用
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页数:4
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共 19 条
[1]   Breaking the Heisenberg limit with inefficient detectors -: art. no. 045801 [J].
Beltrán, J ;
Luis, A .
PHYSICAL REVIEW A, 2005, 72 (04)
[2]   Quantum-limited metrology with product states [J].
Boixo, Sergio ;
Datta, Animesh ;
Flammia, Steven T. ;
Shaji, Anil ;
Bagan, Emilio ;
Caves, Carlton M. .
PHYSICAL REVIEW A, 2008, 77 (01)
[3]   Generalized limits for single-parameter quantum estimation [J].
Boixo, Sergio ;
Flammia, Steven T. ;
Caves, Carlton M. ;
Geremia, J. M. .
PHYSICAL REVIEW LETTERS, 2007, 98 (09)
[4]   STATISTICAL DISTANCE AND THE GEOMETRY OF QUANTUM STATES [J].
BRAUNSTEIN, SL ;
CAVES, CM .
PHYSICAL REVIEW LETTERS, 1994, 72 (22) :3439-3443
[5]   High resolution Feshbach spectroscopy of cesium [J].
Chin, C ;
Vuletic, V ;
Kerman, AJ ;
Chu, S .
PHYSICAL REVIEW LETTERS, 2000, 85 (13) :2717-2720
[6]   Bose-Einstein condensate as a nonlinear Ramsey interferometer operating beyond the Heisenberg limit [J].
Choi, S. ;
Sundaram, B. .
PHYSICAL REVIEW A, 2008, 77 (05)
[7]   Theory of Bose-Einstein condensation in trapped gases [J].
Dalfovo, F ;
Giorgini, S ;
Pitaevskii, LP ;
Stringari, S .
REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512
[8]   Highly anisotropic Bose-Einstein condensates: Crossover to lower dimensionality [J].
Das, KK .
PHYSICAL REVIEW A, 2002, 66 (05) :7
[9]   Quantum metrology [J].
Giovannetti, V ;
Lloyd, S ;
Maccone, L .
PHYSICAL REVIEW LETTERS, 2006, 96 (01)
[10]   Measurements of relative phase in two-component Bose-Einstein condensates [J].
Hall, DS ;
Matthews, MR ;
Wieman, CE ;
Cornell, EA .
PHYSICAL REVIEW LETTERS, 1998, 81 (08) :1543-1546