All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry

被引：95

作者：

Hofmann, Holger F. ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Adv Sci Matter, Higashihiroshima 7398530, Japan

来源：

PHYSICAL REVIEW A | 2009年 / 79卷 / 03期

关键词：

Bayes methods; phase shifting interferometry; quantum entanglement; quantum optics; STANDARD QUANTUM LIMIT; PRECISION-MEASUREMENT; NOISE;

D O I：

10.1103/PhysRevA.79.033822

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

It is shown that the condition for achieving the quantum Cramer-Rao bound of phase estimation in conventional two-path interferometers is that the state is symmetric with regard to an (unphysical) exchange of the two paths. Since path symmetry is conserved under phase shifts, the maximal phase sensitivity can be achieved at arbitrary bias phases, indicating that path-symmetric states can achieve their quantum Cramer-Rao bound in Bayesian estimates of a completely unknown phase.

引用

页数：4

共 18 条

[11] Beating the standard quantum limit:: phase super-sensitivity of N-photon interferometers [J].

Okamoto, Ryo ;

Hofmann, Holger F. ;

Nagata, Tomohisa ;

O'Brien, Jeremy L. ;

Sasaki, Keiji ;

Takeuchi, Shigeki .

NEW JOURNAL OF PHYSICS, 2008, 10

[12] Quantum enhancement of N-photon phase sensitivity by interferometric addition of down-converted photon pairs to weak coherent light [J].

Ono, Takafumi ;

Hofmann, Holger F. .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2008, 41 (09)

[13] Phase detection at the quantum limit with multiphoton Mach-Zehnder interferometry [J].

Pezze, L. ;

Smerzi, A. ;

Khoury, G. ;

Hodelin, J. F. ;

Bouwmeester, D. .

PHYSICAL REVIEW LETTERS, 2007, 99 (22)

[14] Mach-Zehnder interferometry at the heisenberg limit with coherent and squeezed-vacuum light [J].

Pezze, Luca ;

Smerzi, Augusto .

PHYSICAL REVIEW LETTERS, 2008, 100 (07)

[15] OPTIMAL QUANTUM MEASUREMENTS FOR PHASE ESTIMATION [J].

SANDERS, BC ;

MILBURN, GJ .

PHYSICAL REVIEW LETTERS, 1995, 75 (16) :2944-2947

[16] Experimental demonstration of phase measurement precision beating standard quantum limit by projection measurement [J].

Sun, F. W. ;

Liu, B. H. ;

Gong, Y. X. ;

Huang, Y. F. ;

Ou, Z. Y. ;

Guo, G. C. .

EPL, 2008, 82 (02)

[17] De Broglie wavelength of a non-local four-photon state [J].

Walther, P ;

Pan, JW ;

Aspelmeyer, M ;

Ursin, R ;

Gasparoni, S ;

Zeilinger, A .

NATURE, 2004, 429 (6988) :158-161

[18] PRECISION-MEASUREMENT BEYOND THE SHOT-NOISE LIMIT [J].

XIAO, M ;

WU, LA ;

KIMBLE, HJ .

PHYSICAL REVIEW LETTERS, 1987, 59 (03) :278-281

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