Estimation of a quantum interaction parameter using weak measurements: Theory and experiment

被引：30

作者：

Hofmann, Holger F. ^{[1
,2
]}

Goggin, Michael E. ^{[3
]}

Almeida, Marcelo P. ^{[4
]}

Barbieri, Marco ^{[5
,6
]}

机构：

[1] Hiroshima Univ, Grad Sch Adv Sci Matter, Higashihiroshima, Japan

[2] CREST, JST, Chiyoda Ku, Tokyo 1020075, Japan

[3] Truman State Univ, Dept Phys, Kirksville, MO 63501 USA

[4] Univ Queensland, Sch Math & Phys, ARC Ctr Quantum Computat & Commun Technol, ARC Ctr Engn Quantum Syst, Brisbane, Qld 4072, Australia

[5] Univ Paris 11, CNRS, Inst Opt, Lab Charles Fabry, F-91127 Palaiseau, France

[6] Univ Oxford, Dept Phys, Clarendon Lab, Oxford OX1 3PU, England

来源：

PHYSICAL REVIEW A | 2012年 / 86卷 / 04期

关键词：

SPIN;

D O I：

10.1103/PhysRevA.86.040102

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate the estimation of a small interaction parameter from the outcomes of weak quantum measurements implemented by the interaction. The relation of weak values and sensitivity is explained and the different contributions of postselected results are identified using experimental data. The results show how weak values can be used to control the distribution of input state sensitivity between different postselected outcomes.

引用

页数：4

共 20 条

[1] HOW THE RESULT OF A MEASUREMENT OF A COMPONENT OF THE SPIN OF A SPIN-1/2 PARTICLE CAN TURN OUT TO BE 100 [J].

AHARONOV, Y ;

ALBERT, DZ ;

VAIDMAN, L .

PHYSICAL REVIEW LETTERS, 1988, 60 (14) :1351-1354

[2] A time-symmetric formulation of quantum mechanics [J].

Aharonov, Yakir ;

Popescu, Sandu ;

Tollaksen, Jeff .

PHYSICS TODAY, 2010, 63 (11) :27-32

[3] Measuring Small Longitudinal Phase Shifts: Weak Measurements or Standard Interferometry? [J].

Brunner, Nicolas ;

Simon, Christoph .

PHYSICAL REVIEW LETTERS, 2010, 105 (01)

[4] Using entanglement improves the precision of quantum measurements [J].

D'Ariano, GM ;

Lo Presti, P ;

Paris, MGA .

PHYSICAL REVIEW LETTERS, 2001, 87 (27) :270404-270404

[5] Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification [J].

Dixon, P. Ben ;

Starling, David J. ;

Jordan, Andrew N. ;

Howell, John C. .

PHYSICAL REVIEW LETTERS, 2009, 102 (17)

[6]

Escher BM, 2011, NAT PHYS, V7, P406, DOI [10.1038/NPHYS1958, 10.1038/nphys1958]

[7] Experimental Feedback Control of Quantum Systems Using Weak Measurements [J].

Gillett, G. G. ;

Dalton, R. B. ;

Lanyon, B. P. ;

Almeida, M. P. ;

Barbieri, M. ;

Pryde, G. J. ;

O'Brien, J. L. ;

Resch, K. J. ;

Bartlett, S. D. ;

White, A. G. .

PHYSICAL REVIEW LETTERS, 2010, 104 (08)

[8] Quantum metrology [J].

Giovannetti, V ;

Lloyd, S ;

Maccone, L .

PHYSICAL REVIEW LETTERS, 2006, 96 (01)

[9] Violation of the Leggett-Garg inequality with weak measurements of photons [J].

Goggin, M. E. ;

Almeida, M. P. ;

Barbieri, M. ;

Lanyon, B. P. ;

O'Brien, J. L. ;

White, A. G. ;

Pryde, G. J. .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2011, 108 (04) :1256-1261

[10]

Helstrom C. W, 1976, Quantum Detection and Estimation Theory

← 1 2 →