References
[1] L. Rayleigh. XXXI. Investigations in optics, with special reference to the spectroscope. Lond. Edinb. Dublin Philos. Mag. J. Sci., 8, 261(1879).
[2] H. J. Leamy. Charge collection scanning electron microscopy. J. Appl. Phys., 53, R51(1982).
[3] D. Drouin, A. R. Couture, D. Joly, X. Tastet, V. Aimez, R. Gauvin. Casino v2.42—a fast and easy-to-use modeling tool for scanning electron microscopy and microanalysis users. Scanning, 29, 92(2007).
[4] T. A. Klar, S. W. Hell. Subdiffraction resolution in far-field fluorescence microscopy. Opt. Lett., 24, 954(1999).
[5] S. W. Hell, J. Wichmann. Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy. Opt. Lett., 19, 780(1994).
[6] C. W. Helstrom. Resolvability of objects from the standpoint of statistical parameter estimation. J. Opt. Soc. Am., 60, 659(1970).
[7] C. W. Helstrom. Quantum Detection and Estimation Theory(1976).
[8] E. Betzig. Proposed method for molecular optical imaging. Opt. Lett., 20, 237(1995).
[9] M. Tsang, R. Nair, X.-M. Lu. Quantum theory of superresolution for two incoherent optical point sources. Phys. Rev. X, 6, 031033(2016).
[10] S. L. Braunstein, C. M. Caves. Statistical distance and the geometry of quantum states. Phys. Rev. Lett., 72, 3439(1994).
[11] F. Yang, R. Nair, M. Tsang, C. Simon, A. I. Lvovsky. Fisher information for far-field linear optical superresolution via homodyne or heterodyne detection in a higher-order local oscillator mode. Phys. Rev. A, 96, 063829(2017).
[12] J. Řehaček, Z. Hradil, B. Stoklasa, M. Paúr, J. Grover, A. Krzic, L. L. Sánchez-Soto. Multiparameter quantum metrology of incoherent point sources: towards realistic superresolution. Phys. Rev. A, 96, 062107(2017).
[13] C. Napoli, S. Piano, R. Leach, G. Adesso, T. Tufarelli. Towards superresolution surface metrology: quantum estimation of angular and axial separations. Phys. Rev. Lett., 122, 140505(2019).
[14] Z. Yu, S. Prasad. Quantum limited superresolution of an incoherent source pair in three dimensions. Phys. Rev. Lett., 121, 180504(2018).
[15] B. Wang, L. Xu, J. C. Li, L. Zhang. Quantum-limited localization and resolution in three dimensions. Photon. Res., 9, 1522(2021).
[16] L. J. Fiderer, T. Tufarelli, S. Piano, G. Adesso. General expressions for the quantum Fisher information matrix with applications to discrete quantum imaging. PRX Quantum, 2, 020308(2021).
[17] E. Bisketzi, D. Branford, A. Datta. Quantum limits of localisation microscopy. New J. Phys., 21, 123032(2019).
[18] J. M. Donohue, V. Ansari, J. Řeháček, Z. Hradil, B. Stoklasa, M. Paúr, L. L. Sánchez-Soto, C. Silberhorn. Quantum-limited time-frequency estimation through mode-selective photon measurement. Phys. Rev. Lett., 121, 090501(2018).
[19] S. De, J. Gil-Lopez, B. Brecht, C. Silberhorn, L. L. Sánchez-Soto, Z. Hradil, J. Řeháček. Effects of coherence on temporal resolution. Phys. Rev. Res., 3, 033082(2021).
[20] F. Yang, A. Tashchilina, E. S. Moiseev, C. Simon, A. I. Lvovsky. Far-field linear optical superresolution via heterodyne detection in a higher-order local oscillator mode. Optica, 3, 1148(2016).
[21] Z. S. Tang, K. Durak, A. Ling. Fault-tolerant and finite-error localization for point emitters within the diffraction limit. Opt. Express, 24, 22004(2016).
[22] J. W. Goodman. Introduction to Fourier Optics(2005).
[23] Z. Hradil, J. Řeháček, L. Sánchez-Soto, B.-G. Englert. Quantum Fisher information with coherence. Optica, 6, 1437(2019).
[24] V. P. Nayyar, N. K. Verma. Two-point resolution of Gaussian aperture operating in partially coherent light using various resolution criteria. Appl. Opt., 17, 2176(1978).
[25] M. Born, E. Wolf. Interference and diffraction with partially coherent light. Prin. Opt., 6, 491(1993).
[26] W. Larson, B. E. A. Saleh. Resurgence of Rayleigh’s curse in the presence of partial coherence. Optica, 5, 1382(2018).
[27] M. Tsang, R. Nair. Resurgence of Rayleigh’s curse in the presence of partial coherence: comment. Optica, 6, 400(2019).
[28] W. Larson, B. E. A. Saleh. Resurgence of Rayleigh’s curse in the presence of partial coherence: reply. Optica, 6, 402(2019).
[29] Z. Hradil, D. Koutný, J. Řeháček. Exploring the ultimate limits: super-resolution enhanced by partial coherence. Opt. Lett., 46, 1728(2021).
[30] M. Tsang. Poisson quantum information. Quantum, 5, 527(2021).
[31] M. G. A. Paris. Quantum estimation for quantum technology. Int. J. Quantum Inf., 7, 125(2009).
[32] M. Szczykulska, T. Baumgratz, A. Datta. Multi-parameter quantum metrology. Adv. Phys. X., 1, 621(2016).
[33] M. Paúr, B. Stoklasa, Z. Hradil, L. L. Sánchez-Soto, J. Rehacek. Achieving the ultimate optical resolution. Optica, 3, 1144(2016).
[34] S. A. Wadood, K. Liang, Y. Zhou, J. Yang, M. A. Alonso, X.-F. Qian, T. Malhotra, S. M. H. Rafsanjani, A. N. Jordan, R. W. Boyd, A. N. Vamivakas. Experimental demonstration of superresolution of partially coherent light sources using parity sorting. Opt. Express, 29, 22034(2021).
[35] K. Liang, S. A. Wadood, A. N. Vamivakas. Coherence effects on estimating two-point separation. Optica, 8, 243(2021).
[36] J. W. Goodman. Statistical Optics(2015).
[37] S. Kurdzialek. Back to sources–the role of losses and coherence in super-resolution imaging revisited. Quantum, 6, 697(2022).
Data from CrossRef
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[1] Ilya Karuseichyk, Giacomo Sorelli, Vyacheslav Shatokhin, Mattia Walschaers, Nicolas Treps.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.
[2] 王犇 Wang Ben, 张利剑 Zhang Lijian.