## Heisenberg-limited polarimetry using multiphoton two-mode Fock states

JOSA B, Vol. 24, Issue 9, pp. 2494-2499 (2007)

http://dx.doi.org/10.1364/JOSAB.24.002494

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### Abstract

We show that appropriate nonclassical photon states can attain Heisenberg-limited sensitivity in polarimetric measurements, in which the squared amplitudes of the photon states are measured. These photon states, which can be constructed from the two-mode Fock states, are found as the eigenstates of a Hermitian operator, which is closely related to the quantum Stokes operators. The algebraic property of the Hermitian operator governs the interferometric behavior in polarimetric interactions and provides the frequency of the interferometric fringes scaled by the total number of photons of the state. Thus, the polarimetry is able to achieve Heisenberg-limited sensitivity.

© 2007 Optical Society of America

**OCIS Codes**

(120.5050) Instrumentation, measurement, and metrology : Phase measurement

(190.4410) Nonlinear optics : Nonlinear optics, parametric processes

(270.0270) Quantum optics : Quantum optics

(270.5290) Quantum optics : Photon statistics

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: March 9, 2007

Revised Manuscript: June 15, 2007

Manuscript Accepted: July 16, 2007

Published: August 31, 2007

**Citation**

Kazuyuki Muroo and Yoshitaka Takubo, "Heisenberg-limited polarimetry using multiphoton two-mode Fock states," J. Opt. Soc. Am. B **24**, 2494-2499 (2007)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-9-2494

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