Lindblad estimation with fast and precise quantum control
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1.
Australian National University
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2.
California Institute of Technology
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3.
Hebrew University of Jerusalem
Abstract
Enhancing precision sensors for stochastic signals using quantum techniques is a promising emerging field of physics. Estimating a weak stochastic waveform is the core task of many fundamental physics experiments including searches for stochastic gravitational waves, quantum gravity, and axionic dark matter. Simultaneously, noise spectroscopy and characterization (e.g., estimation of various decay mechanisms in quantum devices) are relevant to a broad range of fundamental and technological applications. We consider the ultimate limit on the sensitivity of these devices for Lindblad estimation given any quantum state, fast and precise control sequence, and measurement scheme. We show that it is optimal to rapidly projectively measure and reinitialize the quantum state. We develop optimal protocols for a wide range of applications including stochastic waveform estimation, spectroscopy with qubits, and Lindblad estimation.
Copyright and License
© 2025 American Physical Society.
Acknowledgement
We thank the following people for their advice: Richard Allen, Wenjie Gong, Daniel Mark, Lee McCuller, Chris Pattinson, John Preskill, Alex Retzker, Thomas Schuster, and Sisi Zhou. We also thank the Caltech Chen Quantum Group and the ANU CGA Squeezer Group. This research is supported by the Australian Research Council Centre of Excellence for Gravitational Wave Discovery (Project No. CE170100004 and No. CE230100016). J.W.G. and this research are supported by an Australian Government Research Training Program Scholarship and also partially supported by the US NSF grant PHY-2011968. In addition, Y.C. acknowledges the support by the Simons Foundation (Award Number 568762) and the NSF grant PHY-2309231. T.G. acknowledges funding provided by the Institute for Quantum Information and Matter (a US NSF Physics Frontiers Center) and the Quantum Science and Technology Scholarship of the Israel Council for Higher Education and ISF Grant No. 3302/25. S.A.H. acknowledges support through an Australian Research Council Future Fellowship grant FT210100809. This paper has been assigned LIGO Document No. P2400542.
Data Availability
The data that support the findings of this article are openly available [76].
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Additional details
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Funding
- Australian Research Council Centre of Excellence for Gravitational Wave Discovery
- CE170100004
- Australian Research Council Centre of Excellence for Gravitational Wave Discovery
- CE230100016
- National Science Foundation
- PHY-2011968
- Simons Foundation
- 568762
- National Science Foundation
- PHY-2309231
- Israel Science Foundation
- 3302/25
- Australian Research Council Future Fellowship
- FT210100809