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Typicality of Heisenberg scaling precision in multi-mode quantum metrology

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Typicality of Heisenberg scaling precision in multi-mode quantum metrology. / Gramegna, Giovanni; Triggiani, Danilo; Facchi, Paolo; Narducci, Frank A.; Tamma, Vincenzo.

In: Physical Review Research, Vol. 3, No. 1, 013152, 16.02.2021, p. 1-12.

Research output: Contribution to journalArticlepeer-review

Harvard

Gramegna, G, Triggiani, D, Facchi, P, Narducci, FA & Tamma, V 2021, 'Typicality of Heisenberg scaling precision in multi-mode quantum metrology', Physical Review Research, vol. 3, no. 1, 013152, pp. 1-12. https://doi.org/10.1103/PhysRevResearch.3.013152

APA

Gramegna, G., Triggiani, D., Facchi, P., Narducci, F. A., & Tamma, V. (2021). Typicality of Heisenberg scaling precision in multi-mode quantum metrology. Physical Review Research, 3(1), 1-12. [013152]. https://doi.org/10.1103/PhysRevResearch.3.013152

Vancouver

Author

Gramegna, Giovanni ; Triggiani, Danilo ; Facchi, Paolo ; Narducci, Frank A. ; Tamma, Vincenzo. / Typicality of Heisenberg scaling precision in multi-mode quantum metrology. In: Physical Review Research. 2021 ; Vol. 3, No. 1. pp. 1-12.

Bibtex

@article{da83556f8db84bf99cfd34f0f06bb9bd,
title = "Typicality of Heisenberg scaling precision in multi-mode quantum metrology",
abstract = "We propose a measurement setup reaching Heisenberg scaling precision for the estimation of any distributed parameter φ (not necessarily a phase) encoded into a generic M-port linear network composed only of passive elements. The scheme proposed can be easily implemented from an experimental point of view since it employs only Gaussian states and Gaussian measurements. Due to the complete generality of the estimation problem considered, it was predicted that one would need to carry out an adaptive procedure which involves both the input states employed and the measurement performed at the output; we show that this is not necessary: Heisenberg scaling precision is still achievable by only adapting a single stage. The nonadapted stage only affects the value of a prefactor multiplying the Heisenberg scaling precision: We show that, for large values of M and a random (unbiased) choice of the nonadapted stage, this prefactor takes a typical value which can be controlled through the encoding of the parameter φ into the linear network.",
keywords = "Quantum metrology, Quantum information, Quantum sensing",
author = "Giovanni Gramegna and Danilo Triggiani and Paolo Facchi and Narducci, {Frank A.} and Vincenzo Tamma",
note = "12 pages, 3 figures",
year = "2021",
month = feb,
day = "16",
doi = "10.1103/PhysRevResearch.3.013152",
language = "English",
volume = "3",
pages = "1--12",
journal = "Physical Review Research",
issn = "2643-1564",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Typicality of Heisenberg scaling precision in multi-mode quantum metrology

AU - Gramegna, Giovanni

AU - Triggiani, Danilo

AU - Facchi, Paolo

AU - Narducci, Frank A.

AU - Tamma, Vincenzo

N1 - 12 pages, 3 figures

PY - 2021/2/16

Y1 - 2021/2/16

N2 - We propose a measurement setup reaching Heisenberg scaling precision for the estimation of any distributed parameter φ (not necessarily a phase) encoded into a generic M-port linear network composed only of passive elements. The scheme proposed can be easily implemented from an experimental point of view since it employs only Gaussian states and Gaussian measurements. Due to the complete generality of the estimation problem considered, it was predicted that one would need to carry out an adaptive procedure which involves both the input states employed and the measurement performed at the output; we show that this is not necessary: Heisenberg scaling precision is still achievable by only adapting a single stage. The nonadapted stage only affects the value of a prefactor multiplying the Heisenberg scaling precision: We show that, for large values of M and a random (unbiased) choice of the nonadapted stage, this prefactor takes a typical value which can be controlled through the encoding of the parameter φ into the linear network.

AB - We propose a measurement setup reaching Heisenberg scaling precision for the estimation of any distributed parameter φ (not necessarily a phase) encoded into a generic M-port linear network composed only of passive elements. The scheme proposed can be easily implemented from an experimental point of view since it employs only Gaussian states and Gaussian measurements. Due to the complete generality of the estimation problem considered, it was predicted that one would need to carry out an adaptive procedure which involves both the input states employed and the measurement performed at the output; we show that this is not necessary: Heisenberg scaling precision is still achievable by only adapting a single stage. The nonadapted stage only affects the value of a prefactor multiplying the Heisenberg scaling precision: We show that, for large values of M and a random (unbiased) choice of the nonadapted stage, this prefactor takes a typical value which can be controlled through the encoding of the parameter φ into the linear network.

KW - Quantum metrology

KW - Quantum information

KW - Quantum sensing

U2 - 10.1103/PhysRevResearch.3.013152

DO - 10.1103/PhysRevResearch.3.013152

M3 - Article

VL - 3

SP - 1

EP - 12

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 1

M1 - 013152

ER -

ID: 20437172