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We propose a class of metrological resource states whose quantum Fisher information scales optimally in both system size and noise rate.
E. P. Wigner and Mutsuo M. Yanase, “Information contents of distributions,” Proceedings of the National Academy of Sciences 49
1963
Earlier work this paper cites.
Elliott H. Lieb and Derek W. Robinson, “The finite group velocity of quantum spin systems,” Commun. Math. Phys. 28
1972
Earlier work this paper cites.
C W Helstrom, “Quantum detection and estimation theory,” (1976)
1976
Earlier work this paper cites.
Carlton M. Caves, “Quantum-mechanical noise in an interferometer,” Phys. Rev. D 23
1981
Earlier work this paper cites.
Bernard Yurke, Samuel L. McCall, and John R. Klauder, “Su(2) and su(1,1) interferometers,” Phys. Rev. A 33
1986
Earlier work this paper cites.
D. J. Wineland, J. J. Bollinger, W. M. Itano, F. L. Moore, and D. J. Heinzen, “Spin squeezing and reduced quantum noise in spectroscopy,” Phys. Rev. A 46
1992
Earlier work this paper cites.
Masahiro Kitagawa and Masahito Ueda, “Squeezed spin states,” Phys. Rev. A 47
1993
Earlier work this paper cites.
Samuel L. Braunstein and Carlton M. Caves, “Statistical distance and the geometry of quantum states,” Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
Peter W. Shor, “Scheme for reducing decoherence in quantum computer memory,” Phys. Rev. A 52
1995
Earlier work this paper cites.
J. J. Bollinger, Wayne M. Itano, D. J. Wineland, and D. J. Heinzen, “Optimal frequency measurements with maximally correlated states,” Phys. Rev. A 54
1996
Earlier work this paper cites.
S. F. Huelga, C. Macchiavello, T. Pellizzari, A. K. Ekert, M. B. Plenio, and J. I. Cirac, “Improvement of frequency standards with quantum entanglement,” Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
Ole E Barndorff-Nielsen and Richard D Gill, “Fisher information in quantum statistics,” Journal of Physics A: Mathematical and General 33
2000
Earlier work this paper cites.
Richard D Gill and Serge Massar, “State estimation for large ensembles,” Physical Review A 61
2000
Earlier work this paper cites.
E. Knill, R. Laflamme, and G. Milburn, “Efficient linear optics quantum computation,” arXiv:quant-ph/0006088 (2000)
2000
Earlier work this paper cites.
Rajendra Bhatia, “Pinching, trimming, truncating, and averaging of matrices,” The American Mathematical Monthly 107
2000
Earlier work this paper cites.
Duger Ulam-Orgikh and Masahiro Kitagawa, “Spin squeezing and decoherence limit in ramsey spectroscopy,” Physical Review A 64
2001
Earlier work this paper cites.
Anders S Sørensen and Klaus Mølmer, “Entanglement and extreme spin squeezing,” Physical review letters 86
2001
Earlier work this paper cites.
D. Leibfried, M. D. Barrett, T. Schaetz, J. Britton, J. Chiaverini, W. M. Itano, J. D. Jost, C. Langer, and D. J. Wineland, “Toward heisenberg-limited spectroscopy with multiparticle entangled states,” Science 304
2004
Earlier work this paper cites.
Shunlong Luo, “Wigner-yanase skew information vs. quantum fisher information,” Proceedings of the American Mathematical Society 132
2004
Earlier work this paper cites.
Jae-Seung Lee and A. K. Khitrin, “Stimulated wave of polarization in a one-dimensional ising chain,” Phys. Rev. A 71
2005
Earlier work this paper cites.
T. C. Ralph, A. J. F. Hayes, and Alexei Gilchrist, “Loss-tolerant optical qubits,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone, “Quantum metrology,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Bravyi, M. B. Hastings, and F. Verstraete, “Lieb-robinson bounds and the generation of correlations and topological quantum order,” Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
JM Taylor, Paola Cappellaro, L Childress, Liang Jiang, Dmitry Budker, PR Hemmer, Amir Yacoby, R Walsworth, and MD Lukin, “High-sensitivity diamond magnetometer with nanoscale resolution,” Nature Physics 4
2008
Earlier work this paper cites.
Till Rosenband, DB Hume, PO Schmidt, Chin-Wen Chou, Anders Brusch, Luca Lorini, WH Oskay, Robert E Drullinger, Tara M Fortier, Jason E Stalnaker, et al. , “Frequency ratio of al+ and hg+ single-ion optical clocks; metrology at the 17th decimal place,” Science 319
2008
Earlier work this paper cites.
Jürgen Appel, Patrick Joachim Windpassinger, Daniel Oblak, U Busk Hoff, Niels Kjærgaard, and Eugene Simon Polzik, “Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit,” Proceedings of the National Academy of Sciences 106
2009
Cited alongside, same era.
Matteo G. A. Paris, “Quantum estimation for quantum technology,” International Journal of Quantum Information 07
2009
Cited alongside, same era.
Luca Pezzé and Augusto Smerzi, “Entanglement, nonlinear dynamics, and the heisenberg limit,” Physical review letters 102
2009
Cited alongside, same era.
B L Higgins, D W Berry, S D Bartlett, M W Mitchell, H M Wiseman, and G J Pryde, “Demonstrating heisenberg-limited unambiguous phase estimation without adaptive measurements,” New Journal of Physics 11
2009
Cited alongside, same era.
R. Augusiak, J. Kołodyński, A. Streltsov, M. N. Bera, A. Acín, and M. Lewenstein, “Asymptotic role of entanglement in quantum metrology,” Phys. Rev. A 94
2016
Later among the works it cites.
C. L. Degen, F. Reinhard, and P. Cappellaro, “Quantum sensing,” Rev. Mod. Phys. 89
2017
Later among the works it cites.
Pavel Sekatski, Michalis Skotiniotis, Janek Kołodyński, and Wolfgang Dür, “Quantum metrology with full and fast quantum control,” Quantum 1
2017
Later among the works it cites.
Rafał Demkowicz-Dobrzański, Jan Czajkowski, and Pavel Sekatski, “Adaptive quantum metrology under general markovian noise,” Phys. Rev. X 7
2017
Later among the works it cites.
Luca Pezzè, Augusto Smerzi, Markus K. Oberthaler, Roman Schmied, and Philipp Treutlein, “Quantum metrology with nonclassical states of atomic ensembles,” Rev. Mod. Phys. 90
2018
Later among the works it cites.
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Supplemental Material, where extended results, details of the proofs and the numerical example are included. It further includes Refs. Augusiak et al. 2016 ; Rezakhani et al. 2019 ; Bhatia 2000 ; Wigner and Yanase 1963 ; Luo 2004 ; Ulam-Orgikh and Kitagawa 2001 ; Roubert et al. 2010
2010
Cited alongside, same era.
Benoit Roubert, Petr Braun, and Daniel Braun, “Large effects of boundaries on spin amplification in spin chains,” Phys. Rev. A 82
2010
Cited alongside, same era.
2010
Cited alongside, same era.
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone, “Advances in quantum metrology,” Nature photonics 5
2011
Cited alongside, same era.
LIGO Collaboration, “A gravitational wave observatory operating beyond the quantum shot-noise limit,” Nature Physics 7
2011
Cited alongside, same era.
BM Escher, Ruynet Lima de Matos Filho, and Luiz Davidovich, “General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology,” Nature Physics 7
2011
Cited alongside, same era.
Alexander S Holevo, Probabilistic and statistical aspects of quantum theory , Vol. 1 (Springer Science & Business Media, 2011)
2011
Cited alongside, same era.
Jian Ma, Xiaoguang Wang, C.P. Sun, and Franco Nori, “Quantum spin squeezing,” Physics Reports 509
2011
Cited alongside, same era.
Stefano Pirandola, Bhaskar Roy Bardhan, Tobias Gehring, Christian Weedbrook, and Seth Lloyd, “Advances in photonic quantum sensing,” Nat. Photonics. 12
2018
Later among the works it cites.
Sisi Zhou, Mengzhen Zhang, John Preskill, and Liang Jiang, “Achieving the heisenberg limit in quantum metrology using quantum error correction,” Nature communications 9
2018
Later among the works it cites.
MH Abobeih, J Randall, CE Bradley, HP Bartling, MA Bakker, MJ Degen, M Markham, DJ Twitchen, and TH Taminiau, “Atomic-scale imaging of a 27-nuclear-spin cluster using a quantum sensor,” Nature 576
2019
Later among the works it cites.
A. T. Rezakhani, M. Hassani, and S. Alipour, “Continuity of the quantum fisher information,” Phys. Rev. A 100
2019
Later among the works it cites.
Hengyun Zhou, Joonhee Choi, Soonwon Choi, Renate Landig, Alexander M Douglas, Junichi Isoya, Fedor Jelezko, Shinobu Onoda, Hitoshi Sumiya, Paola Cappellaro, et al. , “Quantum metrology with strongly interacting spin systems,” Physical review X 10
2020
Later among the works it cites.
Krzysztof Chabuda, Jacek Dziarmaga, Tobias J Osborne, and Rafał Demkowicz-Dobrzański, “Tensor-network approach for quantum metrology in many-body quantum systems,” Nature communications 11
2020
Later among the works it cites.
The requirement | θ ~ | ≲ L − d |\tilde{\theta}|\lesssim L^{-d} is a common assumption in metrology because one can always gain the prior knowledge on the “digits” of θ \theta one by one with negligible overhead until the requirement is satisfied Higgins et al. 2009 ; Kimmel et al. 2015 ; Belliardo and Giovannetti 2020 . We also assume | θ ~ | ≳ L − d |\tilde{\theta}|\gtrsim L^{-d} , achievable by shifting θ pr \theta_{\rm pr} if necessary, so that the slope Eq. ( 27
2020
Later among the works it cites.
Federico Belliardo and Vittorio Giovannetti, “Achieving heisenberg scaling with maximally entangled states: An analytic upper bound for the attainable root-mean-square error,” Phys. Rev. A 102
2020
Later among the works it cites.
Raphael Kaubruegger, Denis V Vasilyev, Marius Schulte, Klemens Hammerer, and Peter Zoller, “Quantum variational optimization of ramsey interferometry and atomic clocks,” Physical review X 11
2021
Later among the works it cites.
Sisi Zhou and Liang Jiang, “Asymptotic theory of quantum channel estimation,” PRX Quantum 2
2021
Later among the works it cites.
Atsuki Yoshinaga, Mamiko Tatsuta, and Yuichiro Matsuzaki, “Entanglement-enhanced sensing using a chain of qubits with always-on nearest-neighbor interactions,” Phys. Rev. A 103
2021
Later among the works it cites.
Christian D Marciniak, Thomas Feldker, Ivan Pogorelov, Raphael Kaubruegger, Denis V Vasilyev, Rick van Bijnen, Philipp Schindler, Peter Zoller, Rainer Blatt, and Thomas Monz, “Optimal metrology with programmable quantum sensors,” Nature 603
2022
Later among the works it cites.
Masahito Hayashi, Zi-Wen Liu, and Haidong Yuan, “Global heisenberg scaling in noisy and practical phase estimation,” Quantum Science and Technology 7
2022
Later among the works it cites.
Tommaso Comparin, Fabio Mezzacapo, and Tommaso Roscilde, “Robust spin squeezing from the tower of states of u(1)-symmetric spin hamiltonians,” Phys. Rev. A 105
2022
Later among the works it cites.
Chi-Fang (Anthony) Chen, Andrew Lucas, and Chao Yin, “Speed limits and locality in many-body quantum dynamics,” Reports on Progress in Physics 86
2023
Later among the works it cites.
Yaoming Chu, Xiangbei Li, and Jianming Cai, “Strong quantum metrological limit from many-body physics,” Phys. Rev. Lett. 130
2023
Later among the works it cites.
2023
Later among the works it cites.
Maxwell Block, Bingtian Ye, Brenden Roberts, Sabrina Chern, Weijie Wu, Zilin Wang, Lode Pollet, Emily J Davis, Bertrand I Halperin, and Norman Y Yao, “Scalable spin squeezing from finite-temperature easy-plane magnetism,” Nature Physics , 1–7 (2024)
2024
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Tommaso Roscilde, Filippo Caleca, Adriano Angelone, and Fabio Mezzacapo, “Scalable spin squeezing from critical slowing down in short-range interacting systems,” Phys. Rev. Lett. 133
2024
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