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Error-corrected quantum sensing

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. http://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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.2511587DOIArticle
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:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Army Research LaboratoryW911NF-15-2-0067
Army Research LaboratoryW911NF-18-2-0237
Army Research Office (ARO)W911NF-18-1-0020
Army Research Office (ARO)W911NF-18-1-0212
Army Research Office (ARO)W911NF-14-1-0011
Army Research Office (ARO)W911NF-14-1-0563
Army Research Office (ARO)W911NF-16-1-0349
Army Research Office (ARO)W911NF-15-1-0548
Air Force Office of Scientific Research (AFOSR)FA9550-14-1-0052
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0015
Department of Energy (DOE)DE-SC0019406
NSFEFMA-1640959
NSFEFMA-1641064
NSFEECS-1702716
Alfred P. Sloan FoundationBR2013-049
David and Lucile Packard FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Record Number:CaltechAUTHORS:20190606-092443914
Persistent URL:http://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:06 Jun 2019 22:13

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