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We propose a fluctuation-dissipation theorem in open quantum systems from an information-theoretic perspective.
1910
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1951
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R. Kubo, The fluctuation-dissipation theorem, Reports on progress in physics 29
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P. W. Anderson, Infrared catastrophe in fermi gases with local scattering potentials, Phys. Rev. Lett. 18
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D. Bures, An extension of kakutani’s theorem on infinite product measures to the tensor product of semifinite w*-algebras, Transactions of the American Mathematical Society 135
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M. Cozzini, R. Ionicioiu, and P. Zanardi, Quantum fidelity and quantum phase transitions in matrix product states, Physical Review B—Condensed Matter and Materials Physics 76
2007
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W.-L. You, Y.-W. Li, and S.-J. Gu, Fidelity, dynamic structure factor, and susceptibility in critical phenomena, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 76
2007
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U. M. B. Marconi, A. Puglisi, L. Rondoni, and A. Vulpiani, Fluctuation–dissipation: response theory in statistical physics, Physics reports 461
2008
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S. Chen, L. Wang, Y. Hao, and Y. Wang, Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition, Physical Review A—Atomic, Molecular, and Optical Physics 77
2008
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H.-Q. Zhou and J. P. Barjaktarevič, Fidelity and quantum phase transitions, Journal of Physics A: Mathematical and Theoretical 41
2008
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2008
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H. Quan and F. Cucchietti, Quantum fidelity and thermal phase transitions, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 79
2009
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M. G. Paris, Quantum estimation for quantum technology, International Journal of Quantum Information 7
2009
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S.-J. Gu, Fidelity approach to quantum phase transitions, International Journal of Modern Physics B 24
2010
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A. F. Albuquerque, F. Alet, C. Sire, and S. Capponi, Quantum critical scaling of fidelity susceptibility, Physical Review B—Condensed Matter and Materials Physics 81
2010
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S. Sachdev, Quantum Phase Transitions , 2nd ed. (Cambridge University Press, 2011)
2011
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A. S. Holevo, Probabilistic and statistical aspects of quantum theory , Vol. 1 (Springer Science & Business Media, 2011)
2011
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G. D. Mahan, Many-particle physics (Springer Science & Business Media, 2013)
2013
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V. V. Albert and L. Jiang, Symmetries and conserved quantities in lindblad master equations, Phys. Rev. A 89
2014
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L. Banchi, P. Giorda, and P. Zanardi, Quantum information-geometry of dissipative quantum phase transitions, Physical Review E 89
2014
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I. Bengtsson and K. Życzkowski, Geometry of quantum states: an introduction to quantum entanglement (Cambridge university press, 2017)
J. Y. Lee, C.-M. Jian, and C. Xu, Quantum criticality under decoherence or weak measurement, PRX Quantum 4
2023
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2023
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2023
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J.-H. Zhang, K. Ding, S. Yang, and Z. Bi, Fractonic higher-order topological phases in open quantum systems, Phys. Rev. B 108
2023
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2017
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D. Šafránek, Discontinuities of the quantum fisher information and the bures metric, Physical Review A 95
2017
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2018
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A. Carollo, B. Spagnolo, and D. Valenti, Uhlmann curvature in dissipative phase transitions, Scientific reports 8
2018
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A. Carollo, D. Valenti, and B. Spagnolo, Geometry of quantum phase transitions, Physics Reports 838
2020
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H.-Y. Huang, R. Kueng, and J. Preskill, Predicting many properties of a quantum system from very few measurements, Nature Physics 16
2020
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J. J. Meyer, Fisher information in noisy intermediate-scale quantum applications, Quantum 5
2021
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2023
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H.-Y. Hu, S. Choi, and Y.-Z. You, Classical shadow tomography with locally scrambled quantum dynamics, Phys. Rev. Res. 5
2023
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A. J. Baldwin and J. A. Jones, Efficiently computing the uhlmann fidelity for density matrices, Physical Review A 107
2023
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K. Kawabata, R. Sohal, and S. Ryu, Lieb-schultz-mattis theorem in open quantum systems, Physical Review Letters 132
2024
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