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We develop an efficient algorithm for determining optimal adaptive quantum estimation protocols with arbitrary quantum control operations between subsequent uses of a probed channel.
1904
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U. Dorner, R. Demkowicz-Dobrzanski, B. J. Smith, J. S. Lundeen, W. Wasilewski, K. Banaszek, and I. A. Walmsley, “Optimal quantum phase estimation,” Phys. Rev. Lett. 102
2009
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2009
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B. M. Escher, R. L. de Matos Filho, and L. Davidovich, “General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology,” Nature Phys. 7
2011
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Rafał Demkowicz-Dobrzański, “Optimal phase estimation with arbitrary a priori knowledge,” Phys. Rev. A 83
2011
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Jian Ma, Xiaoguang Wang, C.P. Sun, and Franco Nori, “Quantum spin squeezing,” Physics Reports 509
2011
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2011
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Masahito Hayashi, “Comparison between the cramer-rao and the mini-max approaches in quantum channel estimation,” Communications in Mathematical Physics 304
2011
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Alessandro Bisio, Giacomo Mauro D’Ariano, Paolo Perinotti, and Giulio Chiribella, “Minimal computational-space implementation of multiround quantum protocols,” Phys. Rev. A 83
2011
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Michael J. W. Hall and Howard M. Wiseman, “Does nonlinear metrology offer improved resolution? answers from quantum information theory,” Phys. Rev. X 2
2012
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Rafał Demkowicz-Dobrzański, Jan Kołodyński, and Mădălin Guţă, “The elusive Heisenberg limit in quantum-enhanced metrology,” Nat. Commun. 3
2012
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Stefan L. Danilishin and Farid Ya. Khalili, “Quantum measurement theory in gravitational-wave detectors,” Living Reviews in Relativity 15
2012
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Giulio Chiribella, “Optimal networks for quantum metrology: semidefinite programs and product rules,” New Journal of Physics 14
2012
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U. Dorner, “Quantum frequency estimation with trapped ions and atoms,” New J. Phys. 14
2012
Cited alongside, same era.
2013
Cited alongside, same era.
Rafał Demkowicz-Dobrzański, Konrad Banaszek, and Roman Schnabel, “Fundamental quantum interferometry bound for the squeezed-light-enhanced gravitational wave detector geo 600,” Phys. Rev. A 88
2013
Cited alongside, same era.
Jan Kolodynski and Rafal Demkowicz-Dobrzanski, “Efficient tools for quantum metrology with uncorrelated noise,” New J. Phys. 15
2013
Cited alongside, same era.
Marcin Jarzyna and Rafał Demkowicz-Dobrzański, “Matrix product states for quantum metrology,” Phys. Rev. Lett. 110
2013
Wojciech Górecki, Rafał Demkowicz-Dobrzański, Howard M. Wiseman, and Dominic W. Berry, “ π \pi -corrected heisenberg limit,” Phys. Rev. Lett. 124
2020
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Marius Schulte, Christian Lisdat, Piet O. Schmidt, Uwe Sterr, and Klemens Hammerer, “Prospects and challenges for squeezing-enhanced optical atomic clocks,” Nature Communications 11
2020
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Krzysztof Chabuda, Jacek Dziarmaga, Tobias J. Osborne, and Rafal Demkowicz-Dobrzanski, “Tensor-network approach for quantum metrology in many-body quantum systems,” Nature Communications 11
2020
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Jesús Rubio and Jacob Dunningham, “Bayesian multiparameter quantum metrology with limited data,” Phys. Rev. A 101
2020
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Rafał Demkowicz-Dobrzański, Wojciech Górecki, and Mădălin Guţă, “Multi-parameter estimation beyond quantum fisher information,” Journal of Physics A: Mathematical and Theoretical 53
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Rafał Demkowicz-Dobrzański and Lorenzo Maccone, “Using Entanglement Against Noise in Quantum Metrology,” Phys. Rev. Lett. 113
2014
Cited alongside, same era.
Sergey I. Knysh, Edward H. Chen, and Gabriel A. Durkin, “True limits to precision via unique quantum probe,” ArXiv e-prints (2014)
2014
Cited alongside, same era.
Katarzyna Macieszczak, Martin Fraas, and Rafał Demkowicz-Dobrzański, “Bayesian quantum frequency estimation in presence of collective dephasing,” New Journal of Physics 16
2014
Cited alongside, same era.
G. Arrad, Y. Vinkler, D. Aharonov, and A. Retzker, “Increasing sensing resolution with error correction,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
E. M. Kessler, I. Lovchinsky, A. O. Sushkov, and M. D. Lukin, “Quantum error correction for metrology,” Phys. Rev. Lett. 112
2014
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W. Dür, M. Skotiniotis, F. Fröwis, and B. Kraus, “Improved quantum metrology using quantum error correction,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
Jan Jeske, Jared H Cole, and Susana F Huelga, “Quantum metrology subject to spatially correlated markovian noise: restoring the heisenberg limit,” New J. Phys. 16
2014
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2020
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Géza Tóth, Tamás Vértesi, Paweł Horodecki, and Ryszard Horodecki, “Activating hidden metrological usefulness,” Phys. Rev. Lett. 125
2020
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Sisi Zhou and Liang Jiang, “Asymptotic Theory of Quantum Channel Estimation,” PRX Quantum 2
2021
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Raphael Kaubruegger, Denis V. Vasilyev, Marius Schulte, Klemens Hammerer, and Peter Zoller, “Quantum variational optimization of ramsey interferometry and atomic clocks,” Phys. Rev. X 11
2021
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Anian Altherr and Yuxiang Yang, “Quantum Metrology for Non-Markovian Processes,” Phys. Rev. Lett. 127
2021
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Ed Younis, Costin C Iancu, Wim Lavrijsen, Marc Davis, Ethan Smith, and USDOE, “Berkeley quantum synthesis toolkit (bqskit) v1,” (2021)
2021
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Jessica Bavaresco, Mio Murao, and Marco Túlio Quintino, “Strict Hierarchy between Parallel, Sequential, and Indefinite-Causal-Order Strategies for Channel Discrimination,” Phys. Rev. Lett. 127
2021
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Kianna Wan and Robert Lasenby, “Bounds on adaptive quantum metrology under Markovian noise,” Phys. Rev. Research 4
2022
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Jing Yang, Shengshi Pang, Zekai Chen, Andrew N. Jordan, and Adolfo del Campo, “Variational principle for optimal quantum controls in quantum metrology,” Phys. Rev. Lett. 128
2022
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Mao Zhang, Huai-Ming Yu, Haidong Yuan, Xiaoguang Wang, Rafał Demkowicz-Dobrzański, and Jing Liu, “Quanestimation: An open-source toolkit for quantum parameter estimation,” Phys. Rev. Res. 4
2022
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Krzysztof Chabuda and Rafał Demkowicz-Dobrzański, “Tnqmetro: Tensor-network based package for efficient quantum metrology computations,” Computer Physics Communications 274
2022
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Jessica Bavaresco, Mio Murao, and Marco Túlio Quintino, “Unitary channel discrimination beyond group structures: Advantages of sequential and indefinite-causal-order strategies,” J. Math. Phys. 63
2022
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G.A.L. White, F.A. Pollock, L.C.L. Hollenberg, K. Modi, and C.D. Hill, “Non-markovian quantum process tomography,” PRX Quantum 3
2022
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Stanisław Kurdziałek, Wojciech Górecki, Francesco Albarelli, and Rafał Demkowicz-Dobrzański, “Using adaptiveness and causal superpositions against noise in quantum metrology,” Phys. Rev. Lett. 131
2023
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Qiushi Liu, Zihao Hu, Haidong Yuan, and Yuxiang Yang, “Optimal strategies of quantum metrology with a strict hierarchy,” Phys. Rev. Lett. 130
2023
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