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Metrological advantage at finite temperature for Gaussian phase estimation

Jul 20, 2018

13 pages

Published in:

Phys.Rev.A 99 (2019) 4, 043815

Published: Apr 13, 2019

e-Print:

1807.08045 [quant-ph]

DOI:

10.1103/PhysRevA.99.043815

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Abstract: (APS)

In the context of phase estimation with Gaussian states, we introduce a quantifiable definition of metrological advantage that takes into account thermal noise in the preparation procedure. For a broad set of states—isotropic nonpure Gaussian states—we show that squeezing is not only necessary but sufficient to achieve metrological advantage. We interpret our results in the framework of resource theory and discuss possible sources of advantage other than squeezing. Our work is a step towards using phase estimation with pure and mixed states to define and quantify nonclassicality. This work is complementary with studies that defines nonclassicality using quadrature displacement estimation.

Note:

Changes to wording, figures replaced

Quantum optics, physics of lasers, nonlinear optics, classical optics

References(50)

Figures(7)

[1]

Quantum Mechanical Noise in an Interferometer

C.M. Caves
(
- Caltech
)

- Phys.Rev.D 23 (1981) 1693-1708,
- Phys. Rev. D23 ( 1981) 1693-1708
•
DOI:
- 10.1103/PhysRevD.23.1693

[2]

Measurement noise 100 times lower than the quantum-projection limit using entangled atoms

- Nature 529 (2016) 7587, 505-508
•
DOI:
- 10.1038/nature16176

[3]

Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light

LIGO Scientific

Collaboration

•

J. Aasi

et al.

- Nature Photon. 7 (2013) 613-619
•
e-Print:
- 1310.0383
•
DOI:
- 10.1038/nphoton.2013.177

[4]

Prog.Opt.

E. Wolf
,
R. Demkowicz-Dobrzański
,
M. Jarzyna
,
J. Kołodyński

[5]

Quantum theory of phase estimation

Luca Pezze'
(
- INOA, Florence and
- Florence U., LENS
)
,
Augusto Smerzi
(
- INOA, Florence and
- Florence U., LENS
)

- published in ''Atom Interferometry'', Proceedings of the International School of Physics ''Enrico Fermi'', Course 188, Varenna. Edited by G.M. Tino and M.A. Kasevich (IOS Press, Amsterdam, 2014). Page 691
•
e-Print:
- 1411.5164

[6]

Quantum metrology with nonclassical states of atomic ensembles

Luca Pezzè
(
- Florence U., LENS
)
,
Augusto Smerzi
(
- Florence U., LENS
)
,
Markus K. Oberthaler
(
- Kirchhoff Inst. Phys.
)
,
Roman Schmied
(
- Basel U.
)
,
Philipp Treutlein
(
- Basel U.
)

- Rev.Mod.Phys. 90 (2018) 3, 035005
•
e-Print:
- 1609.01609
•
DOI:
- 10.1103/RevModPhys.90.035005

[7]

Nonclassicality as a Quantifiable Resource for Quantum Metrology

- Phys.Rev.Lett. 122 (2019) 4, 040503
•
DOI:
- 10.1103/PhysRevLett.122.040503

[8]

B. Yadin
,
F.C. Binder
,
J. Thompson
,
V. Narasimhachar
,
M. Gu

et al.

- Phys.Rev.X 8 (2018) 041038
•
DOI:
- 10.1103/PhysRevX.8.041038

[9]

P. Hyllus
,
O. Gühne
,
A. Smerzi

- Phys.Rev.A 82 (2010) 012337
•
DOI:
- 10.1103/PhysRevA.82.012337

[10]

General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology

- Nature Phys. 7 (2011) 5, 406-411
•
DOI:
- 10.1038/nphys1958

[11]

Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound

- Phys.Rev.Lett. 112 (2014) 12, 120405
•
DOI:
- 10.1103/PhysRevLett.112.120405

[12]

N. Spagnolo
,
C. Vitelli
,
V.G. Lucivero
,
V. Giovannetti
,
L. Maccone

et al.

- Phys.Rev.Lett. 108 (2012) 233602
•
DOI:
- 10.1103/PhysRevLett.108.233602

[13]

Adaptive Quantum Metrology under General Markovian Noise

- Phys.Rev.X 7 (2017) 4, 041009
•
DOI:
- 10.1103/PhysRevX.7.041009

[14]

Achieving the Heisenberg limit in quantum metrology using quantum error correction

- Nature Commun. 9 (2018) 1, 78
•
e-Print:
- 1706.02445
•
DOI:
- 10.1038/s41467-017-02510-3

[15]

F. Albarelli
,
M.A.C. Rossi
,
D. Tamascelli
,
M.G. Genoni

- Quantum 2 (2018) 110
•
DOI:
- 10.22331/q-2018-12-03-110

[16]

Multiparameter Gaussian Quantum Metrology

Rosanna Nichols
(
- Nottingham U.
)
,
Pietro Liuzzo-Scorpo
(
- Nottingham U.
)
,
Paul A. Knott
(
- Nottingham U.
)
,
Gerardo Adesso
(
- Nottingham U.
)

- Phys.Rev.A 98 (2018) 1, 012114
•
e-Print:
- 1711.09132
•
DOI:
- 10.1103/PhysRevA.98.012114

[17]

The second laws of quantum thermodynamics

- Proc.Nat.Acad.Sci. 112 (2015) 11, 3275
•
DOI:
- 10.1073/pnas.1411728112

[18]

Quantifying Coherence

- Phys.Rev.Lett. 113 (2014) 14, 140401
•
e-Print:
- 1311.0275
•
DOI:
- 10.1103/physrevlett.113.140401

[19]

D. Braun
,
G. Adesso
,
F. Benatti
,
R. Floreanini
,
U. Marzolino

et al.

- Rev.Mod.Phys. 90 (2018) 035006
•
DOI:
- 10.1103/RevModPhys.90.035006

[20]

Gravitational Radiation Detection with Laser Interferometry

Rana X Adhikari

- Rev.Mod.Phys. 86 (2014) 121
•
e-Print:
- 1305.5188
•
DOI:
- 10.1103/RevModPhys.86.121

[21]

Optics and interferometry with atoms and molecules

Alexander D. Cronin
(
- Arizona U.
)
,
Joerg Schmiedmayer
(
- Vienna, Tech. U.
)
,
David E. Pritchard
(
- MIT
)

- Rev.Mod.Phys. 81 (2009) 1051-1129
•
e-Print:
- 0712.3703
•
DOI:
- 10.1103/RevModPhys.81.1051

[22]

P.A. Knott
,
T.J. Proctor
,
A.J. Hayes
,
J.F. Ralph
,
P. Kok

et al.

- Phys.Rev.A 94 (2016) 062312
•
DOI:
- 10.1103/PhysRevA.94.062312

[23]

M.G. Genoni
,
M.G.A. Paris
,
G. Adesso
,
H. Nha
,
P.L. Knight

et al.

- Phys.Rev.A 87 (2013) 012107
•
DOI:
- 10.1103/PhysRevA.87.012107

[24]

Compatibility in multiparameter quantum metrology

- Phys.Rev.A 94 (2016) 5, 052108
•
DOI:
- 10.1103/PhysRevA.94.052108

[25]

Note also that optimization over may be seen either as optimization of the input state or optimization of the operator encoding phase

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