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In a standard Quantum Sensing (QS) task one aims at estimating an unknown parameter $\theta$, encoded into an $n$-qubit probe state, via measurements of the system.
Dunham Jackson, “On the accuracy of trigonometric interpolation,” Transactions of the American Mathematical Society 14
1913
Earlier work this paper cites.
Daniel M. Greenberger, Michael A. Horne, Abner Shimony, and Anton Zeilinger, “Bell’s theorem without inequalities,” American Journal of Physics 58
1990
Earlier work this paper cites.
Roger A. Horn and Charles R. Johnson, Topics in Matrix Analysis (Cambridge University Press, 1991)
1991
Earlier work this paper cites.
YP Hong and C-T Pan, “A lower bound for the smallest singular value,” Linear Algebra and its Applications 172
1992
Earlier work this paper cites.
Masahiro Kitagawa and Masahito Ueda, “Squeezed spin states,” Physical Review A 47
1993
Earlier work this paper cites.
Knut Petras, “Error estimates for trigonometric interpolation of periodic functions in lip 1,” Series in Approximations and Decompositions 6
1995
Earlier work this paper cites.
Susanna F Huelga, Chiara Macchiavello, Thomas Pellizzari, Artur K Ekert, Martin B Plenio, and J Ignacio Cirac, “Improvement of frequency standards with quantum entanglement,” Physical Review Letters 79
1997
Earlier work this paper cites.
Antoni Zygmund, Trigonometric series , Vol. 1 (Cambridge university press, 2002)
2002
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.
Masahito Hayashi, Quantum Information Theory: Mathematical Foundation (2nd edition) (Springer, 2004)
2004
Earlier work this paper cites.
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone, “Quantum metrology,” Physical Review Letters 96
2006
Earlier work this paper cites.
Jacob M Taylor, Paola Cappellaro, Lilian Childress, Liang Jiang, Dmitry Budker, PR Hemmer, Amir Yacoby, Ronald Walsworth, and MD Lukin, “High-sensitivity diamond magnetometer with nanoscale resolution,” Nature Physics 4
2008
Earlier work this paper cites.
Luis A Correa, Mohammad Mehboudi, Gerardo Adesso, and Anna Sanpera, “Individual quantum probes for optimal thermometry,” Physical Review Letters 114
2015
Earlier work this paper cites.
John F. Barry, Matthew J. Turner, Jennifer M. Schloss, David R. Glenn, Yuyu Song, Mikhail D. Lukin, Hongkun Park, and Ronald L. Walsworth, “Optical magnetic detection of single-neuron action potentials using quantum defects in diamond,” Proceedings of the National Academy of Sciences 113
2016
Earlier work this paper cites.
Antonella De Pasquale, Davide Rossini, Rosario Fazio, and Vittorio Giovannetti, “Local quantum thermal susceptibility,” Nature Communications 7
2016
Earlier work this paper cites.
Jing Liu, Jie Chen, Xiao-Xing Jing, and Xiaoguang Wang, “Quantum Fisher information and symmetric logarithmic derivative via anti-commutators,” Journal of Physics A: Mathematical and Theoretical 49
2016
Earlier work this paper cites.
C. L. Degen, F. Reinhard, and P. Cappellaro, “Quantum sensing,” Rev. Mod. Phys. 89
2017
Cited alongside, same era.
Surjeet Rajendran, Nicholas Zobrist, Alexander O Sushkov, Ronald Walsworth, and Mikhail Lukin, “A method for directional detection of dark matter using spectroscopy of crystal defects,” Physical Review D 96
2017
Cited alongside, same era.
Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M. Chow, and Jay M. Gambetta, “Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets,” Nature 549
2017
Cited alongside, same era.
Francesco Casola, Toeno Van Der Sar, and Amir Yacoby, “Probing condensed matter physics with magnetometry based on nitrogen-vacancy centres in diamond,” Nature Reviews Materials 3
2018
Cited alongside, same era.
Jasminder S Sidhu and Pieter Kok, “Geometric perspective on quantum parameter estimation,” AVS Quantum Science 2
2020
Later among the works it cites.
Ryan Sweke, Frederik Wilde, Johannes Jakob Meyer, Maria Schuld, Paul K Fährmann, Barthélémy Meynard-Piganeau, and Jens Eisert, “Stochastic gradient descent for hybrid quantum-classical optimization,” Quantum 4
2020
Later among the works it cites.
Jeffrey Marshall, Filip Wudarski, Stuart Hadfield, and Tad Hogg, “Characterizing local noise in QAOA circuits,” IOP SciNotes 1
2020
Later among the works it cites.
Akira Sone, M. Cerezo, Jacob L Beckey, and Patrick J Coles, “A generalized measure of quantum Fisher information,” Physical Review A 104
2021
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
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2018
Cited alongside, same era.
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
Cited alongside, same era.
Lukasz Cincio, Yiğit Subaşı, Andrew T Sornborger, and Patrick J Coles, “Learning the quantum algorithm for state overlap,” New Journal of Physics 20
2018
Cited alongside, same era.
Colin J Trout, Muyuan Li, Mauricio Gutiérrez, Yukai Wu, Sheng-Tao Wang, Luming Duan, and Kenneth R Brown, “Simulating the performance of a distance-3 surface code in a linear ion trap,” New Journal of Physics 20
2018
Cited alongside, same era.
Akira Sone, Quntao Zhuang, Changhao Li, Yi-Xiang Liu, and Paola Cappellaro, “Nonclassical correlations for quantum metrology in thermal equilibrium,” Physical Review A 99
2019
Cited alongside, same era.
M e Tse, Haocun Yu, Nutsinee Kijbunchoo, A Fernandez-Galiana, P Dupej, L Barsotti, CD Blair, DD Brown, SE Dwyer, A Effler, et al. , “Quantum-enhanced advanced LIGO detectors in the era of gravitational-wave astronomy,” Physical Review Letters 123
2019
Cited alongside, same era.
Lukas J Fiderer, Julien ME Fraïsse, and Daniel Braun, “Maximal quantum Fisher information for mixed states,” Physical Review Letters 123
2019
Cited alongside, same era.
Iris Cong, Soonwon Choi, and Mikhail D Lukin, “Quantum convolutional neural networks,” Nature Physics 15
2019
Cited alongside, same era.
2021
Later among the works it cites.
Johannes Jakob Meyer, Johannes Borregaard, and Jens Eisert, “A variational toolbox for quantum multi-parameter estimation,” NPJ Quantum Information 7
2021
Later among the works it cites.
Daniel Stilck França and Raul Garcia-Patron, “Limitations of optimization algorithms on noisy quantum devices,” Nature Physics 17
2021
Later among the works it cites.
Johannes Jakob Meyer, “Fisher Information in Noisy Intermediate-Scale Quantum Applications,” Quantum 5
2021
Later among the works it cites.
Arthur Pesah, M. Cerezo, Samson Wang, Tyler Volkoff, Andrew T Sornborger, and Patrick J Coles, “Absence of barren plateaus in quantum convolutional neural networks,” Physical Review X 11
2021
Later among the works it cites.
Cheng Xue, Zhao-Yun Chen, Yu-Chun Wu, and Guo-Ping Guo, “Effects of quantum noise on quantum approximate optimization algorithm,” Chinese Physics Letters 38
2021
Later among the works it cites.
Jacob L Beckey, M. Cerezo, Akira Sone, and Patrick J Coles, “Variational quantum algorithm for estimating the quantum Fisher information,” Physical Review Research 4
2022
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David Wierichs, Josh Izaac, Cody Wang, and Cedric Yen-Yu Lin, “General parameter-shift rules for quantum gradients,” Quantum (2022)
2022
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Kunal Sharma, M. Cerezo, Lukasz Cincio, and Patrick J Coles, “Trainability of dissipative perceptron-based quantum neural networks,” Physical Review Letters 128
2022
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M. Cerezo, Akira Sone, Jacob L Beckey, and Patrick J Coles, “Sub-quantum Fisher information,” Quantum Science and Technology (2021b), 10.1088/2058-9565/abfbef
2058
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