Optimal strategy for multiple-phase estimation under practical measurement with multimode NOON states

Junaid Ur Rehman; Seongjin Hong; Seung Woo Lee; Yong Su Kim; Young Wook Cho; Hojoong Jung; Sung Moon; Hyundong Shin; Sang Wook Han; Hyang Tag Lim

doi:10.1103/PhysRevA.106.032612

Optimal strategy for multiple-phase estimation under practical measurement with multimode NOON states

Junaid Ur Rehman, Seongjin Hong, Seung Woo Lee, Yong Su Kim, Young Wook Cho, Hojoong Jung, Sung Moon, Hyundong Shin, Sang Wook Han, Hyang Tag Lim

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Quantum multiple parameter estimation can achieve an enhanced sensitivity beyond the classical limit. Although a theoretical ultimate sensitivity bound for multiple phase estimation is given by the quantum Cramer-Rao bound (QCRB), experimental implementations to saturate the QCRB typically require an impractical setup including entangled measurements. Since it is experimentally challenging to implement an entangled measurement, the practical sensitivity is given by the Cramer-Rao bound (CRB) relevant to the measurement probabilities. Here, we consider the problem of practical sensitivity bound for multiple phase estimation with quantum probe states and a measurement setup without entanglement, which consists of a beam splitter followed by the photon-number-resolving measurement. In this practical measurement scheme, we show that lower CRB can be achieved with a quantum probe state even with higher QCRB.

Original language	English
Article number	032612
Journal	Physical Review A
Volume	106
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.106.032612
Publication status	Published - 2022 Sept

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) (Grants No. 2019M3E4A1079777, No. 2019R1A2C2007037, and No. 2021R1C1C1003625), the Institute for Information and Communications Technology Promotion (IITP) (Grant No. 2020-0-00947), and the KIST research program (Grant No. 2E31531).

Publisher Copyright:
© 2022 American Physical Society.

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.106.032612

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abstract = "Quantum multiple parameter estimation can achieve an enhanced sensitivity beyond the classical limit. Although a theoretical ultimate sensitivity bound for multiple phase estimation is given by the quantum Cramer-Rao bound (QCRB), experimental implementations to saturate the QCRB typically require an impractical setup including entangled measurements. Since it is experimentally challenging to implement an entangled measurement, the practical sensitivity is given by the Cramer-Rao bound (CRB) relevant to the measurement probabilities. Here, we consider the problem of practical sensitivity bound for multiple phase estimation with quantum probe states and a measurement setup without entanglement, which consists of a beam splitter followed by the photon-number-resolving measurement. In this practical measurement scheme, we show that lower CRB can be achieved with a quantum probe state even with higher QCRB.",

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AU - Cho, Young Wook

AU - Jung, Hojoong

AU - Moon, Sung

AU - Shin, Hyundong

AU - Han, Sang Wook

AU - Lim, Hyang Tag

N1 - Funding Information: This work was supported by the National Research Foundation of Korea (NRF) (Grants No. 2019M3E4A1079777, No. 2019R1A2C2007037, and No. 2021R1C1C1003625), the Institute for Information and Communications Technology Promotion (IITP) (Grant No. 2020-0-00947), and the KIST research program (Grant No. 2E31531). Publisher Copyright: © 2022 American Physical Society.

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N2 - Quantum multiple parameter estimation can achieve an enhanced sensitivity beyond the classical limit. Although a theoretical ultimate sensitivity bound for multiple phase estimation is given by the quantum Cramer-Rao bound (QCRB), experimental implementations to saturate the QCRB typically require an impractical setup including entangled measurements. Since it is experimentally challenging to implement an entangled measurement, the practical sensitivity is given by the Cramer-Rao bound (CRB) relevant to the measurement probabilities. Here, we consider the problem of practical sensitivity bound for multiple phase estimation with quantum probe states and a measurement setup without entanglement, which consists of a beam splitter followed by the photon-number-resolving measurement. In this practical measurement scheme, we show that lower CRB can be achieved with a quantum probe state even with higher QCRB.

AB - Quantum multiple parameter estimation can achieve an enhanced sensitivity beyond the classical limit. Although a theoretical ultimate sensitivity bound for multiple phase estimation is given by the quantum Cramer-Rao bound (QCRB), experimental implementations to saturate the QCRB typically require an impractical setup including entangled measurements. Since it is experimentally challenging to implement an entangled measurement, the practical sensitivity is given by the Cramer-Rao bound (CRB) relevant to the measurement probabilities. Here, we consider the problem of practical sensitivity bound for multiple phase estimation with quantum probe states and a measurement setup without entanglement, which consists of a beam splitter followed by the photon-number-resolving measurement. In this practical measurement scheme, we show that lower CRB can be achieved with a quantum probe state even with higher QCRB.

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Optimal strategy for multiple-phase estimation under practical measurement with multimode NOON states

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