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

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number032612
JournalPhysical Review A
Issue number3
Publication statusPublished - 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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