Optimal estimation of joint parameters in phase space

M. G. Genoni, M. G A Paris, G. Adesso, Hyunchul Nha, P. L. Knight, M. S. Kim

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

We address the joint estimation of the two defining parameters of a displacement operation in phase space. In a measurement scheme based on a Gaussian probe field and two homodyne detectors, it is shown that both conjugated parameters can be measured below the standard quantum limit when the probe field is entangled. We derive the most informative Cramér-Rao bound, providing the theoretical benchmark on the estimation, and observe that our scheme is nearly optimal for a wide parameter range characterizing the probe field. We discuss the role of the entanglement as well as the relation between our measurement strategy and the generalized uncertainty relations.

Original languageEnglish
Article number012107
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number1
DOIs
Publication statusPublished - 9 Jan 2013

Fingerprint

probes
detectors

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Optimal estimation of joint parameters in phase space. / Genoni, M. G.; Paris, M. G A; Adesso, G.; Nha, Hyunchul; Knight, P. L.; Kim, M. S.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 87, No. 1, 012107, 09.01.2013.

Research output: Contribution to journalArticle

Genoni, M. G. ; Paris, M. G A ; Adesso, G. ; Nha, Hyunchul ; Knight, P. L. ; Kim, M. S. / Optimal estimation of joint parameters in phase space. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2013 ; Vol. 87, No. 1.
@article{90ee8e0cb9bc45c7ba930a8df45efaba,
title = "Optimal estimation of joint parameters in phase space",
abstract = "We address the joint estimation of the two defining parameters of a displacement operation in phase space. In a measurement scheme based on a Gaussian probe field and two homodyne detectors, it is shown that both conjugated parameters can be measured below the standard quantum limit when the probe field is entangled. We derive the most informative Cram{\'e}r-Rao bound, providing the theoretical benchmark on the estimation, and observe that our scheme is nearly optimal for a wide parameter range characterizing the probe field. We discuss the role of the entanglement as well as the relation between our measurement strategy and the generalized uncertainty relations.",
author = "Genoni, {M. G.} and Paris, {M. G A} and G. Adesso and Hyunchul Nha and Knight, {P. L.} and Kim, {M. S.}",
year = "2013",
month = "1",
day = "9",
doi = "10.1103/PhysRevA.87.012107",
language = "English",
volume = "87",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Optimal estimation of joint parameters in phase space

AU - Genoni, M. G.

AU - Paris, M. G A

AU - Adesso, G.

AU - Nha, Hyunchul

AU - Knight, P. L.

AU - Kim, M. S.

PY - 2013/1/9

Y1 - 2013/1/9

N2 - We address the joint estimation of the two defining parameters of a displacement operation in phase space. In a measurement scheme based on a Gaussian probe field and two homodyne detectors, it is shown that both conjugated parameters can be measured below the standard quantum limit when the probe field is entangled. We derive the most informative Cramér-Rao bound, providing the theoretical benchmark on the estimation, and observe that our scheme is nearly optimal for a wide parameter range characterizing the probe field. We discuss the role of the entanglement as well as the relation between our measurement strategy and the generalized uncertainty relations.

AB - We address the joint estimation of the two defining parameters of a displacement operation in phase space. In a measurement scheme based on a Gaussian probe field and two homodyne detectors, it is shown that both conjugated parameters can be measured below the standard quantum limit when the probe field is entangled. We derive the most informative Cramér-Rao bound, providing the theoretical benchmark on the estimation, and observe that our scheme is nearly optimal for a wide parameter range characterizing the probe field. We discuss the role of the entanglement as well as the relation between our measurement strategy and the generalized uncertainty relations.

UR - http://www.scopus.com/inward/record.url?scp=84872358572&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872358572&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.87.012107

DO - 10.1103/PhysRevA.87.012107

M3 - Article

VL - 87

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 1

M1 - 012107

ER -