Zhou, Sisi and Layden, David and Zhang, Mengzhen and Preskill, John and Cappellaro, Paola and Jiang, Liang (2019) Error-corrected quantum sensing. In: Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology. Proceedings of SPIE. No.10934. Society of Photo-Optical Instrumentation Engineers (SPIE) , Bellingham, WA, Art. No. 109341J. ISBN 9781510625105. https://resolver.caltech.edu/CaltechAUTHORS:20190606-092443914
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Abstract
Quantum metrology has many important applications in science and technology, ranging from frequency spectroscopy to gravitational wave detection. Quantum mechanics imposes a fundamental limit on measurement precision, called the Heisenberg limit, which can be achieved for noiseless quantum systems, but is not achievable in general for systems subject to noise. Here we study how measurement precision can be enhanced through quantum error correction, a general method for protecting a quantum system from the damaging effects of noise. We find a necessary and sufficient condition for achieving the Heisenberg limit using quantum probes subject to Markovian noise, assuming that noiseless ancilla systems are available, and that fast, accurate quantum processing can be performed. When the sufficient condition is satisfied, the quantum error-correcting code achieving the best possible precision can be found by solving a semidefinite program. We also show that noiseless ancilla are not needed when the signal Hamiltonian and the error operators commute. Finally we provide two explicit, archetypal examples of quantum sensors: qubits undergoing dephasing and a lossy bosonic mode.
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Additional Information: | © 2019 Society of Photo-Optical Instrumentation Engineers (SPIE). We thank Fernando Brandão, Yanbei Chen, Steve Girvin, Linshu Li, Mikhail Lukin, Changling Zou, Victor Albert, Kyungjoo Noh and Florentin Reiter for inspiring discussions. We acknowledge support from the ARL-CDQI (W911NF-15-2-0067, W911NF-18-2-0237), ARO (W911NF-18-1-0020, W911NF-18-1-0212, W911NF-14-1-0011, W911NF-14-1-0563), ARO MURI (W911NF-16-1-0349, W911NF-15-1-0548), AFOSR MURI (FA9550-14-1-0052, FA9550-15-1-0015), DOE (DE-SC0019406), NSF (EFMA-1640959, EFRIACQUIRE 1641064, EECS1702716), Alfred P. Sloan Foundation (BR2013-049) and the Packard Foundation (2013-39273). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center with support from the Gordon and Betty Moore Foundation. | ||||||||||||||||||||||||||||||||||||
Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||||||||||||||||
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Series Name: | Proceedings of SPIE | ||||||||||||||||||||||||||||||||||||
Issue or Number: | 10934 | ||||||||||||||||||||||||||||||||||||
DOI: | 10.1117/12.2511587 | ||||||||||||||||||||||||||||||||||||
Record Number: | CaltechAUTHORS:20190606-092443914 | ||||||||||||||||||||||||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190606-092443914 | ||||||||||||||||||||||||||||||||||||
Official Citation: | Sisi Zhou, David Layden, Mengzhen Zhang, John Preskill, Paola Cappellaro, and Liang Jiang "Error-corrected quantum sensing", Proc. SPIE 10934, Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology, 109341J (1 March 2019); doi: 10.1117/12.2511587; https://doi.org/10.1117/12.2511587 | ||||||||||||||||||||||||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||||||||||||
ID Code: | 96188 | ||||||||||||||||||||||||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||||||||||||
Deposited By: | Tony Diaz | ||||||||||||||||||||||||||||||||||||
Deposited On: | 06 Jun 2019 22:13 | ||||||||||||||||||||||||||||||||||||
Last Modified: | 16 Nov 2021 17:18 |
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