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Towards the Fundamental Quantum Limit of Linear Measurements of Classical Signals

Miao, Haixing and Adhikari, Rana X. and Ma, Yiqiu and Pang, Belinda and Chen, Yanbei (2017) Towards the Fundamental Quantum Limit of Linear Measurements of Classical Signals. Physical Review Letters, 119 (5). Art. No. 050801. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20170803-081632579

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Abstract

The quantum Cramér-Rao bound (QCRB) sets a fundamental limit for the measurement of classical signals with detectors operating in the quantum regime. Using linear-response theory and the Heisenberg uncertainty relation, we derive a general condition for achieving such a fundamental limit. When applied to classical displacement measurements with a test mass, this condition leads to an explicit connection between the QCRB and the standard quantum limit that arises from a tradeoff between the measurement imprecision and quantum backaction; the QCRB can be viewed as an outcome of a quantum nondemolition measurement with the backaction evaded. Additionally, we show that the test mass is more a resource for improving measurement sensitivity than a victim of the quantum backaction, which suggests a new approach to enhancing the sensitivity of a broad class of sensors. We illustrate these points with laser interferometric gravitational-wave detectors.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.119.050801DOIArticle
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.050801PublisherArticle
https://arxiv.org/abs/1608.00766UNSPECIFIEDDiscussion Paper
ORCID:
AuthorORCID
Adhikari, Rana X.0000-0002-5731-5076
Pang, Belinda0000-0002-5697-2162
Additional Information:© 2017 American Physical Society. Received 24 August 2016; published 2 August 2017. We would like to thank members of the LSC MQM, AIC, and QN groups for fruitful discussions. H. M. is supported by UK STFC Ernest Rutherford Fellowship (Grant No. ST/M005844/11). R. X. A. is supported by NSF Grant No. PHY-0757058. Y. M., B. P., and Y. C. are supported by NSF Grants No. PHY-1506453 and PHY-1612816. R. X. A., B. P., and Y. C. gratefully acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontier Center with support of the Gordon and Betty Moore Foundation.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Science and Technology Facilities Council (STFC)ST/M005844/11
NSFPHY-0757058
NSFPHY-1506453
NSFPHY-0757058
NSFPHY-1506453
NSFPHY-1612816
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20170803-081632579
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170803-081632579
Official Citation:Towards the Fundamental Quantum Limit of Linear Measurements of Classical Signals Miao, Haixing and Adhikari, Rana X and Ma, Yiqiu and Pang, Belinda and Chen, Yanbei Phys. Rev. Lett. volume 119, issue 5, pages 050801, 2017, doi 10.1103/PhysRevLett.119.050801, https://link.aps.org/doi/10.1103/PhysRevLett.119.050801
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79813
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:05 Aug 2017 20:57
Last Modified:16 Nov 2017 18:17

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