Channel Simulation in Quantum Metrology

Research output: Contribution to journalArticle

Standard

Channel Simulation in Quantum Metrology. / Laurenza, Riccardo; Lupo, Cosmo; Spedalieri, Gaetana; Braunstein, Samuel L.; Pirandola, Stefano.

In: Quantum Measurements and Quantum Metrology, Vol. 5, No. 1, 04.04.2018.

Research output: Contribution to journalArticle

Harvard

Laurenza, R, Lupo, C, Spedalieri, G, Braunstein, SL & Pirandola, S 2018, 'Channel Simulation in Quantum Metrology', Quantum Measurements and Quantum Metrology, vol. 5, no. 1. https://doi.org/10.1515/qmetro-2018-0001

APA

Laurenza, R., Lupo, C., Spedalieri, G., Braunstein, S. L., & Pirandola, S. (2018). Channel Simulation in Quantum Metrology. Quantum Measurements and Quantum Metrology, 5(1). https://doi.org/10.1515/qmetro-2018-0001

Vancouver

Laurenza R, Lupo C, Spedalieri G, Braunstein SL, Pirandola S. Channel Simulation in Quantum Metrology. Quantum Measurements and Quantum Metrology. 2018 Apr 4;5(1). https://doi.org/10.1515/qmetro-2018-0001

Author

Laurenza, Riccardo ; Lupo, Cosmo ; Spedalieri, Gaetana ; Braunstein, Samuel L. ; Pirandola, Stefano. / Channel Simulation in Quantum Metrology. In: Quantum Measurements and Quantum Metrology. 2018 ; Vol. 5, No. 1.

Bibtex - Download

@article{141e5f8325ec4c919f5cc47762640693,
title = "Channel Simulation in Quantum Metrology",
abstract = "In this review we discuss how channel simulation can be used to simplify the most general protocols of quantum parameter estimation, where unlimited entanglement and adaptive joint operations may be employed. Whenever the unknown parameter encoded in a quantum channels is completely transferred in an environmental program state simulating the channel, the optimal adaptive estimation cannot beat the standard quantum limit. In this setting, we elucidate the crucial role of quantum teleportation as a primitive operation which allows one to completely reduce adaptive protocols over suitable teleportation-covariant channels and derive matching upper and lower bounds for parameter estimation. For these channels, we may express the quantum Cramer Rao bound directly in terms of their Choi matrices. Our review considers both discrete- and continuous-variable systems, also presenting some new results for bosonic Gaussian channels using an alternative sub-optimal simulation. It is an open problem to design simulations for quantum channels that achieve the Heisenberg limit.",
keywords = "quant-ph, cond-mat.other, physics.optics",
author = "Riccardo Laurenza and Cosmo Lupo and Gaetana Spedalieri and Braunstein, {Samuel L.} and Stefano Pirandola",
note = "{\textcopyright} 2018, The Author(s). Short review paper. REVTeX 10 pages. 6 figures",
year = "2018",
month = apr,
day = "4",
doi = "10.1515/qmetro-2018-0001",
language = "English",
volume = "5",
journal = "Quantum Measurements and Quantum Metrology",
issn = "2299-114X",
number = "1",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Channel Simulation in Quantum Metrology

AU - Laurenza, Riccardo

AU - Lupo, Cosmo

AU - Spedalieri, Gaetana

AU - Braunstein, Samuel L.

AU - Pirandola, Stefano

N1 - © 2018, The Author(s). Short review paper. REVTeX 10 pages. 6 figures

PY - 2018/4/4

Y1 - 2018/4/4

N2 - In this review we discuss how channel simulation can be used to simplify the most general protocols of quantum parameter estimation, where unlimited entanglement and adaptive joint operations may be employed. Whenever the unknown parameter encoded in a quantum channels is completely transferred in an environmental program state simulating the channel, the optimal adaptive estimation cannot beat the standard quantum limit. In this setting, we elucidate the crucial role of quantum teleportation as a primitive operation which allows one to completely reduce adaptive protocols over suitable teleportation-covariant channels and derive matching upper and lower bounds for parameter estimation. For these channels, we may express the quantum Cramer Rao bound directly in terms of their Choi matrices. Our review considers both discrete- and continuous-variable systems, also presenting some new results for bosonic Gaussian channels using an alternative sub-optimal simulation. It is an open problem to design simulations for quantum channels that achieve the Heisenberg limit.

AB - In this review we discuss how channel simulation can be used to simplify the most general protocols of quantum parameter estimation, where unlimited entanglement and adaptive joint operations may be employed. Whenever the unknown parameter encoded in a quantum channels is completely transferred in an environmental program state simulating the channel, the optimal adaptive estimation cannot beat the standard quantum limit. In this setting, we elucidate the crucial role of quantum teleportation as a primitive operation which allows one to completely reduce adaptive protocols over suitable teleportation-covariant channels and derive matching upper and lower bounds for parameter estimation. For these channels, we may express the quantum Cramer Rao bound directly in terms of their Choi matrices. Our review considers both discrete- and continuous-variable systems, also presenting some new results for bosonic Gaussian channels using an alternative sub-optimal simulation. It is an open problem to design simulations for quantum channels that achieve the Heisenberg limit.

KW - quant-ph

KW - cond-mat.other

KW - physics.optics

U2 - 10.1515/qmetro-2018-0001

DO - 10.1515/qmetro-2018-0001

M3 - Article

VL - 5

JO - Quantum Measurements and Quantum Metrology

JF - Quantum Measurements and Quantum Metrology

SN - 2299-114X

IS - 1

ER -