M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

A. A. Abbott, R. Silva, J. Wechs, N. Brunner, and C. Branciard, “Anomalous weak values without post-selection,” Quantum 3, 194–208 (2019).

[Crossref]

E. Cohen, “Quantum measurements-yet another surprise,” Quantum Views 3, 27 (2019).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

E. Cohen and M. Nowakowski, “Comment on ‘Measurements without probabilities in the final state proposal’,” Phys. Rev. D 97, 088501 (2018).

[Crossref]

R. Bousso and D. Stanford, “Reply to “Comment on ‘Measurements without probabilities in the final state proposal’”,” Phys. Rev. D 97, 088502 (2018).

[Crossref]

L. Vaidman, “Weak value controversy,” Philos. Trans. R. Soc. London, Ser. A 375, 20160395 (2017).

[Crossref]

L. P. García-Pintos and J. Dressel, “Past observable dynamics of a continuously monitored qubit,” Phys. Rev. A 96, 062110 (2017).

[Crossref]

J. Martínez-Rincón, W.-T. Liu, G. I. Viza, and J. C. Howell, “Can anomalous amplification be attained without postselection?” Phys. Rev. Lett. 116, 100803 (2016).

[Crossref]

Y. Turek, H. Kobayashi, T. Akutsu, C. P. Sun, and Y. Shikano, “Post-selected von Neumann measurement with Hermite–Gaussian and Laguerre–Gaussian pointer states,” New J. Phys. 17, 083029 (2015).

[Crossref]

G. I. Viza, J. Martinez-Rincon, G. B. Alves, A. N. Jordan, and J. C. Howell, “Experimentally quantifying the advantages of weak-value-based metrology,” Phys. Rev. A 92, 032127 (2015).

[Crossref]

C. Emary, N. Lambert, and F. Nori, “Leggett-Garg inequalities,” Rep. Prog. Phys. 77, 016001 (2014).

[Crossref]

A. N. Jordan, J. Martinez-Rincon, and J. C. Howell, “Technical advantages for weak-value amplification: when less is more,” Phys. Rev. X 4, 011031 (2014).

[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, “Colloquium: understanding quantum weak values: basics and applications,” Rev. Mod. Phys. 86, 307–316 (2014).

[Crossref]

J. Dressel, K. Y. Bliokh, and F. Nori, “Classical field approach to quantum weak measurements,” Phys. Rev. Lett. 112, 110407 (2014).

[Crossref]

C. Ferrie and J. Combes, “Weak value amplification is suboptimal for estimation and detection,” Phys. Rev. Lett. 112, 040406 (2014).

[Crossref]

J. Combes, C. Ferrie, Z. Jiang, and C. M. Caves, “Quantum limits on postselected, probabilistic quantum metrology,” Phys. Rev. A 89, 052117 (2014).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

G. Strubi and C. Bruder, “Measuring ultrasmall time delays of light by joint weak measurements,” Phys. Rev. Lett. 110, 083605 (2013).

[Crossref]

H. Kobayashi, G. Puentes, and Y. Shikano, “Extracting joint weak values from two-dimensional spatial displacements,” Phys. Rev. A 86, 053805 (2012).

[Crossref]

A. G. Kofman, S. Ashkab, and F. Nori, “Nonperturbative theory of weak pre-and post-selected measurements,” Phys. Rep. 520, 43–133 (2012).

[Crossref]

Y. Suzuki, M. Iinuma, and H. F. Hofmann, “Violation of Leggett–Garg inequalities in quantum measurements with variable resolution and back-action,” New J. Phys. 14, 103022 (2012).

[Crossref]

J. Dressel, C. J. Broadbent, J. C. Howell, and A. N. Jordan, “Experimental violation of two-party Leggett-Garg inequalities with semiweak measurements,” Phys. Rev. Lett. 106, 040402 (2011).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011).

[Crossref]

N. Brunner and C. Simon, “Measuring small longitudinal phase shifts: weak measurements or standard interferometry?” Phys. Rev. Lett. 105, 010405 (2010).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, “Ultrasensitive beam deflection measurement via interferometric weak value amplification,” Phys. Rev. Lett. 102, 173601 (2009).

[Crossref]

J. S. Lundeen and A. M. Steinberg, “Experimental joint weak measurement on a photon pair as a probe of Hardy’s paradox,” Phys. Rev. Lett. 102, 020404 (2009).

[Crossref]

K. Yokota, T. Yamamoto, M. Koashi, and N. Imoto, “Direct observation of Hardy’s paradox by joint weak measurement with an entangled photon pair,” New J. Phys. 11, 033011 (2009).

[Crossref]

O. Hosten and P. Kwiat, “Observation of the spin Hall effect of light via weak measurements,” Science 319, 787–790 (2008).

[Crossref]

H. M. Wiseman, “Grounding Bohmian mechanics in weak values and bayesianism,” New J. Phys. 9, 165–175 (2007).

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

G. Mitchison, R. Jozsa, and S. Popescu, “Sequential weak measurement,” Phys. Rev. A 76, 062105 (2007).

[Crossref]

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Experimental realization of the quantum box problem,” Phys. Lett. A 324, 125–131 (2004).

[Crossref]

G. Horowitz and J. Maldacena, “The black hole final state,” J. High Energy Phys. 2004, 008 (2004).

[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, “Revisiting Hardy’s paradox: counterfactual statements, real measurements, entanglement and weak values,” Phys. Lett. A 301, 130–138 (2002).

[Crossref]

H. M. Wiseman, “Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation,” Phys. Rev. A 65, 032111 (2002).

[Crossref]

I. M. Duck, P. M. Stevenson, and E. C. G. Sudarshan, “The sense in which a “weak measurement” of a spin-1/2 particle’s spin component yields a value 100,” Phys. Rev. D 40, 2112–2117 (1989).

[Crossref]

Y. Aharonov, D. Z. Albert, and L. Vaidman, “How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100,” Phys. Rev. Lett. 60, 1351–1354 (1988).

[Crossref]

A. A. Abbott, R. Silva, J. Wechs, N. Brunner, and C. Branciard, “Anomalous weak values without post-selection,” Quantum 3, 194–208 (2019).

[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, “Revisiting Hardy’s paradox: counterfactual statements, real measurements, entanglement and weak values,” Phys. Lett. A 301, 130–138 (2002).

[Crossref]

Y. Aharonov, D. Z. Albert, and L. Vaidman, “How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100,” Phys. Rev. Lett. 60, 1351–1354 (1988).

[Crossref]

Y. Aharonov and E. Cohen, “Weak values and quantum nonlocality,” arXiv:1504.03797 (2015).

Y. Aharonov, S. Popescu, and J. Tollaksen, “Each instant of time a new universe,” in Quantum Theory: A Two-Time Success Story (Springer, 2014), pp. 21–36.

Y. Turek, H. Kobayashi, T. Akutsu, C. P. Sun, and Y. Shikano, “Post-selected von Neumann measurement with Hermite–Gaussian and Laguerre–Gaussian pointer states,” New J. Phys. 17, 083029 (2015).

[Crossref]

Y. Aharonov, D. Z. Albert, and L. Vaidman, “How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100,” Phys. Rev. Lett. 60, 1351–1354 (1988).

[Crossref]

G. I. Viza, J. Martinez-Rincon, G. B. Alves, A. N. Jordan, and J. C. Howell, “Experimentally quantifying the advantages of weak-value-based metrology,” Phys. Rev. A 92, 032127 (2015).

[Crossref]

A. G. Kofman, S. Ashkab, and F. Nori, “Nonperturbative theory of weak pre-and post-selected measurements,” Phys. Rep. 520, 43–133 (2012).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

J. Dressel, K. Y. Bliokh, and F. Nori, “Classical field approach to quantum weak measurements,” Phys. Rev. Lett. 112, 110407 (2014).

[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, “Revisiting Hardy’s paradox: counterfactual statements, real measurements, entanglement and weak values,” Phys. Lett. A 301, 130–138 (2002).

[Crossref]

R. Bousso and D. Stanford, “Reply to “Comment on ‘Measurements without probabilities in the final state proposal’”,” Phys. Rev. D 97, 088502 (2018).

[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, “Colloquium: understanding quantum weak values: basics and applications,” Rev. Mod. Phys. 86, 307–316 (2014).

[Crossref]

A. A. Abbott, R. Silva, J. Wechs, N. Brunner, and C. Branciard, “Anomalous weak values without post-selection,” Quantum 3, 194–208 (2019).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

J. Dressel, C. J. Broadbent, J. C. Howell, and A. N. Jordan, “Experimental violation of two-party Leggett-Garg inequalities with semiweak measurements,” Phys. Rev. Lett. 106, 040402 (2011).

[Crossref]

G. Strubi and C. Bruder, “Measuring ultrasmall time delays of light by joint weak measurements,” Phys. Rev. Lett. 110, 083605 (2013).

[Crossref]

A. A. Abbott, R. Silva, J. Wechs, N. Brunner, and C. Branciard, “Anomalous weak values without post-selection,” Quantum 3, 194–208 (2019).

[Crossref]

N. Brunner and C. Simon, “Measuring small longitudinal phase shifts: weak measurements or standard interferometry?” Phys. Rev. Lett. 105, 010405 (2010).

[Crossref]

J. Combes, C. Ferrie, Z. Jiang, and C. M. Caves, “Quantum limits on postselected, probabilistic quantum metrology,” Phys. Rev. A 89, 052117 (2014).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

E. Cohen, “Quantum measurements-yet another surprise,” Quantum Views 3, 27 (2019).

[Crossref]

E. Cohen and M. Nowakowski, “Comment on ‘Measurements without probabilities in the final state proposal’,” Phys. Rev. D 97, 088501 (2018).

[Crossref]

Y. Aharonov and E. Cohen, “Weak values and quantum nonlocality,” arXiv:1504.03797 (2015).

C. Ferrie and J. Combes, “Weak value amplification is suboptimal for estimation and detection,” Phys. Rev. Lett. 112, 040406 (2014).

[Crossref]

J. Combes, C. Ferrie, Z. Jiang, and C. M. Caves, “Quantum limits on postselected, probabilistic quantum metrology,” Phys. Rev. A 89, 052117 (2014).

[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, “Ultrasensitive beam deflection measurement via interferometric weak value amplification,” Phys. Rev. Lett. 102, 173601 (2009).

[Crossref]

L. P. García-Pintos and J. Dressel, “Past observable dynamics of a continuously monitored qubit,” Phys. Rev. A 96, 062110 (2017).

[Crossref]

J. Dressel, K. Y. Bliokh, and F. Nori, “Classical field approach to quantum weak measurements,” Phys. Rev. Lett. 112, 110407 (2014).

[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, “Colloquium: understanding quantum weak values: basics and applications,” Rev. Mod. Phys. 86, 307–316 (2014).

[Crossref]

J. Dressel, C. J. Broadbent, J. C. Howell, and A. N. Jordan, “Experimental violation of two-party Leggett-Garg inequalities with semiweak measurements,” Phys. Rev. Lett. 106, 040402 (2011).

[Crossref]

I. M. Duck, P. M. Stevenson, and E. C. G. Sudarshan, “The sense in which a “weak measurement” of a spin-1/2 particle’s spin component yields a value 100,” Phys. Rev. D 40, 2112–2117 (1989).

[Crossref]

C. Emary, N. Lambert, and F. Nori, “Leggett-Garg inequalities,” Rep. Prog. Phys. 77, 016001 (2014).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011).

[Crossref]

J. Combes, C. Ferrie, Z. Jiang, and C. M. Caves, “Quantum limits on postselected, probabilistic quantum metrology,” Phys. Rev. A 89, 052117 (2014).

[Crossref]

C. Ferrie and J. Combes, “Weak value amplification is suboptimal for estimation and detection,” Phys. Rev. Lett. 112, 040406 (2014).

[Crossref]

L. P. García-Pintos and J. Dressel, “Past observable dynamics of a continuously monitored qubit,” Phys. Rev. A 96, 062110 (2017).

[Crossref]

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

Y. Suzuki, M. Iinuma, and H. F. Hofmann, “Violation of Leggett–Garg inequalities in quantum measurements with variable resolution and back-action,” New J. Phys. 14, 103022 (2012).

[Crossref]

G. Horowitz and J. Maldacena, “The black hole final state,” J. High Energy Phys. 2004, 008 (2004).

[Crossref]

O. Hosten and P. Kwiat, “Observation of the spin Hall effect of light via weak measurements,” Science 319, 787–790 (2008).

[Crossref]

J. Martínez-Rincón, W.-T. Liu, G. I. Viza, and J. C. Howell, “Can anomalous amplification be attained without postselection?” Phys. Rev. Lett. 116, 100803 (2016).

[Crossref]

G. I. Viza, J. Martinez-Rincon, G. B. Alves, A. N. Jordan, and J. C. Howell, “Experimentally quantifying the advantages of weak-value-based metrology,” Phys. Rev. A 92, 032127 (2015).

[Crossref]

A. N. Jordan, J. Martinez-Rincon, and J. C. Howell, “Technical advantages for weak-value amplification: when less is more,” Phys. Rev. X 4, 011031 (2014).

[Crossref]

J. Dressel, C. J. Broadbent, J. C. Howell, and A. N. Jordan, “Experimental violation of two-party Leggett-Garg inequalities with semiweak measurements,” Phys. Rev. Lett. 106, 040402 (2011).

[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, “Ultrasensitive beam deflection measurement via interferometric weak value amplification,” Phys. Rev. Lett. 102, 173601 (2009).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

Y. Suzuki, M. Iinuma, and H. F. Hofmann, “Violation of Leggett–Garg inequalities in quantum measurements with variable resolution and back-action,” New J. Phys. 14, 103022 (2012).

[Crossref]

K. Yokota, T. Yamamoto, M. Koashi, and N. Imoto, “Direct observation of Hardy’s paradox by joint weak measurement with an entangled photon pair,” New J. Phys. 11, 033011 (2009).

[Crossref]

J. Combes, C. Ferrie, Z. Jiang, and C. M. Caves, “Quantum limits on postselected, probabilistic quantum metrology,” Phys. Rev. A 89, 052117 (2014).

[Crossref]

G. I. Viza, J. Martinez-Rincon, G. B. Alves, A. N. Jordan, and J. C. Howell, “Experimentally quantifying the advantages of weak-value-based metrology,” Phys. Rev. A 92, 032127 (2015).

[Crossref]

A. N. Jordan, J. Martinez-Rincon, and J. C. Howell, “Technical advantages for weak-value amplification: when less is more,” Phys. Rev. X 4, 011031 (2014).

[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, “Colloquium: understanding quantum weak values: basics and applications,” Rev. Mod. Phys. 86, 307–316 (2014).

[Crossref]

J. Dressel, C. J. Broadbent, J. C. Howell, and A. N. Jordan, “Experimental violation of two-party Leggett-Garg inequalities with semiweak measurements,” Phys. Rev. Lett. 106, 040402 (2011).

[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, “Ultrasensitive beam deflection measurement via interferometric weak value amplification,” Phys. Rev. Lett. 102, 173601 (2009).

[Crossref]

G. Mitchison, R. Jozsa, and S. Popescu, “Sequential weak measurement,” Phys. Rev. A 76, 062105 (2007).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

K. Yokota, T. Yamamoto, M. Koashi, and N. Imoto, “Direct observation of Hardy’s paradox by joint weak measurement with an entangled photon pair,” New J. Phys. 11, 033011 (2009).

[Crossref]

Y. Turek, H. Kobayashi, T. Akutsu, C. P. Sun, and Y. Shikano, “Post-selected von Neumann measurement with Hermite–Gaussian and Laguerre–Gaussian pointer states,” New J. Phys. 17, 083029 (2015).

[Crossref]

H. Kobayashi, G. Puentes, and Y. Shikano, “Extracting joint weak values from two-dimensional spatial displacements,” Phys. Rev. A 86, 053805 (2012).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

A. G. Kofman, S. Ashkab, and F. Nori, “Nonperturbative theory of weak pre-and post-selected measurements,” Phys. Rep. 520, 43–133 (2012).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

O. Hosten and P. Kwiat, “Observation of the spin Hall effect of light via weak measurements,” Science 319, 787–790 (2008).

[Crossref]

C. Emary, N. Lambert, and F. Nori, “Leggett-Garg inequalities,” Rep. Prog. Phys. 77, 016001 (2014).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

J. Martínez-Rincón, W.-T. Liu, G. I. Viza, and J. C. Howell, “Can anomalous amplification be attained without postselection?” Phys. Rev. Lett. 116, 100803 (2016).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

J. S. Lundeen and A. M. Steinberg, “Experimental joint weak measurement on a photon pair as a probe of Hardy’s paradox,” Phys. Rev. Lett. 102, 020404 (2009).

[Crossref]

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Experimental realization of the quantum box problem,” Phys. Lett. A 324, 125–131 (2004).

[Crossref]

G. Horowitz and J. Maldacena, “The black hole final state,” J. High Energy Phys. 2004, 008 (2004).

[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, “Colloquium: understanding quantum weak values: basics and applications,” Rev. Mod. Phys. 86, 307–316 (2014).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

G. I. Viza, J. Martinez-Rincon, G. B. Alves, A. N. Jordan, and J. C. Howell, “Experimentally quantifying the advantages of weak-value-based metrology,” Phys. Rev. A 92, 032127 (2015).

[Crossref]

A. N. Jordan, J. Martinez-Rincon, and J. C. Howell, “Technical advantages for weak-value amplification: when less is more,” Phys. Rev. X 4, 011031 (2014).

[Crossref]

J. Martínez-Rincón, W.-T. Liu, G. I. Viza, and J. C. Howell, “Can anomalous amplification be attained without postselection?” Phys. Rev. Lett. 116, 100803 (2016).

[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, “Colloquium: understanding quantum weak values: basics and applications,” Rev. Mod. Phys. 86, 307–316 (2014).

[Crossref]

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

G. Mitchison, R. Jozsa, and S. Popescu, “Sequential weak measurement,” Phys. Rev. A 76, 062105 (2007).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

C. Emary, N. Lambert, and F. Nori, “Leggett-Garg inequalities,” Rep. Prog. Phys. 77, 016001 (2014).

[Crossref]

J. Dressel, K. Y. Bliokh, and F. Nori, “Classical field approach to quantum weak measurements,” Phys. Rev. Lett. 112, 110407 (2014).

[Crossref]

A. G. Kofman, S. Ashkab, and F. Nori, “Nonperturbative theory of weak pre-and post-selected measurements,” Phys. Rep. 520, 43–133 (2012).

[Crossref]

E. Cohen and M. Nowakowski, “Comment on ‘Measurements without probabilities in the final state proposal’,” Phys. Rev. D 97, 088501 (2018).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

G. Mitchison, R. Jozsa, and S. Popescu, “Sequential weak measurement,” Phys. Rev. A 76, 062105 (2007).

[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, “Revisiting Hardy’s paradox: counterfactual statements, real measurements, entanglement and weak values,” Phys. Lett. A 301, 130–138 (2002).

[Crossref]

Y. Aharonov, S. Popescu, and J. Tollaksen, “Each instant of time a new universe,” in Quantum Theory: A Two-Time Success Story (Springer, 2014), pp. 21–36.

H. Kobayashi, G. Puentes, and Y. Shikano, “Extracting joint weak values from two-dimensional spatial displacements,” Phys. Rev. A 86, 053805 (2012).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Experimental realization of the quantum box problem,” Phys. Lett. A 324, 125–131 (2004).

[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, “Revisiting Hardy’s paradox: counterfactual statements, real measurements, entanglement and weak values,” Phys. Lett. A 301, 130–138 (2002).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

Y. Turek, H. Kobayashi, T. Akutsu, C. P. Sun, and Y. Shikano, “Post-selected von Neumann measurement with Hermite–Gaussian and Laguerre–Gaussian pointer states,” New J. Phys. 17, 083029 (2015).

[Crossref]

H. Kobayashi, G. Puentes, and Y. Shikano, “Extracting joint weak values from two-dimensional spatial displacements,” Phys. Rev. A 86, 053805 (2012).

[Crossref]

A. A. Abbott, R. Silva, J. Wechs, N. Brunner, and C. Branciard, “Anomalous weak values without post-selection,” Quantum 3, 194–208 (2019).

[Crossref]

N. Brunner and C. Simon, “Measuring small longitudinal phase shifts: weak measurements or standard interferometry?” Phys. Rev. Lett. 105, 010405 (2010).

[Crossref]

R. Bousso and D. Stanford, “Reply to “Comment on ‘Measurements without probabilities in the final state proposal’”,” Phys. Rev. D 97, 088502 (2018).

[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, “Ultrasensitive beam deflection measurement via interferometric weak value amplification,” Phys. Rev. Lett. 102, 173601 (2009).

[Crossref]

A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

J. S. Lundeen and A. M. Steinberg, “Experimental joint weak measurement on a photon pair as a probe of Hardy’s paradox,” Phys. Rev. Lett. 102, 020404 (2009).

[Crossref]

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Experimental realization of the quantum box problem,” Phys. Lett. A 324, 125–131 (2004).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

I. M. Duck, P. M. Stevenson, and E. C. G. Sudarshan, “The sense in which a “weak measurement” of a spin-1/2 particle’s spin component yields a value 100,” Phys. Rev. D 40, 2112–2117 (1989).

[Crossref]

G. Strubi and C. Bruder, “Measuring ultrasmall time delays of light by joint weak measurements,” Phys. Rev. Lett. 110, 083605 (2013).

[Crossref]

I. M. Duck, P. M. Stevenson, and E. C. G. Sudarshan, “The sense in which a “weak measurement” of a spin-1/2 particle’s spin component yields a value 100,” Phys. Rev. D 40, 2112–2117 (1989).

[Crossref]

Y. Turek, H. Kobayashi, T. Akutsu, C. P. Sun, and Y. Shikano, “Post-selected von Neumann measurement with Hermite–Gaussian and Laguerre–Gaussian pointer states,” New J. Phys. 17, 083029 (2015).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

Y. Suzuki, M. Iinuma, and H. F. Hofmann, “Violation of Leggett–Garg inequalities in quantum measurements with variable resolution and back-action,” New J. Phys. 14, 103022 (2012).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, “Revisiting Hardy’s paradox: counterfactual statements, real measurements, entanglement and weak values,” Phys. Lett. A 301, 130–138 (2002).

[Crossref]

Y. Aharonov, S. Popescu, and J. Tollaksen, “Each instant of time a new universe,” in Quantum Theory: A Two-Time Success Story (Springer, 2014), pp. 21–36.

Y. Turek, H. Kobayashi, T. Akutsu, C. P. Sun, and Y. Shikano, “Post-selected von Neumann measurement with Hermite–Gaussian and Laguerre–Gaussian pointer states,” New J. Phys. 17, 083029 (2015).

[Crossref]

L. Vaidman, “Weak value controversy,” Philos. Trans. R. Soc. London, Ser. A 375, 20160395 (2017).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

Y. Aharonov, D. Z. Albert, and L. Vaidman, “How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100,” Phys. Rev. Lett. 60, 1351–1354 (1988).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

J. Martínez-Rincón, W.-T. Liu, G. I. Viza, and J. C. Howell, “Can anomalous amplification be attained without postselection?” Phys. Rev. Lett. 116, 100803 (2016).

[Crossref]

G. I. Viza, J. Martinez-Rincon, G. B. Alves, A. N. Jordan, and J. C. Howell, “Experimentally quantifying the advantages of weak-value-based metrology,” Phys. Rev. A 92, 032127 (2015).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

A. A. Abbott, R. Silva, J. Wechs, N. Brunner, and C. Branciard, “Anomalous weak values without post-selection,” Quantum 3, 194–208 (2019).

[Crossref]

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

H. M. Wiseman, “Grounding Bohmian mechanics in weak values and bayesianism,” New J. Phys. 9, 165–175 (2007).

H. M. Wiseman, “Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation,” Phys. Rev. A 65, 032111 (2002).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

K. Yokota, T. Yamamoto, M. Koashi, and N. Imoto, “Direct observation of Hardy’s paradox by joint weak measurement with an entangled photon pair,” New J. Phys. 11, 033011 (2009).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

K. Yokota, T. Yamamoto, M. Koashi, and N. Imoto, “Direct observation of Hardy’s paradox by joint weak measurement with an entangled photon pair,” New J. Phys. 11, 033011 (2009).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

G. Horowitz and J. Maldacena, “The black hole final state,” J. High Energy Phys. 2004, 008 (2004).

[Crossref]

M. Yang, Y. Xiao, Y. W. Liao, Z. H. Liu, X. Y. Xu, J. S. Xu, C. F. Li, and G. C. Guo, “Zonal reconstruction of photonic wavefunction via momentum weak measurement,” Laser Photon. Rev. 14, 1900251 (2020).

[Crossref]

Y.-W. Cho, Y. Kim, Y.-H. Choi, Y.-S. Kim, S.-W. Han, S.-Y. Lee, S. Moon, and Y.-H. Kim, “Emergence of the geometric phase from quantum measurement back-action,” Nat. Phys. 15, 665–670 (2019).

[Crossref]

A. Palacios-Laloy, F. Mallet, F. Nguyen, P. Bertet, D. Vion, D. Esteve, and A. N. Korotkov, “Experimental violation of a Bell’s inequality in time with weak measurement,” Nat. Phys. 6, 442–447 (2010).

[Crossref]

Y. Suzuki, M. Iinuma, and H. F. Hofmann, “Violation of Leggett–Garg inequalities in quantum measurements with variable resolution and back-action,” New J. Phys. 14, 103022 (2012).

[Crossref]

K. Yokota, T. Yamamoto, M. Koashi, and N. Imoto, “Direct observation of Hardy’s paradox by joint weak measurement with an entangled photon pair,” New J. Phys. 11, 033011 (2009).

[Crossref]

H. M. Wiseman, “Grounding Bohmian mechanics in weak values and bayesianism,” New J. Phys. 9, 165–175 (2007).

R. Mir, J. S. Lundeen, M. W. Mitchell, A. M. Steinberg, J. L. Garretson, and H. M. Wiseman, “A double-slit which-way experiment on the complementarity uncertainty debate,” New J. Phys. 9, 287 (2007).

[Crossref]

Y. Turek, H. Kobayashi, T. Akutsu, C. P. Sun, and Y. Shikano, “Post-selected von Neumann measurement with Hermite–Gaussian and Laguerre–Gaussian pointer states,” New J. Phys. 17, 083029 (2015).

[Crossref]

J. S. Chen, M. J. Hu, X. M. Hu, B. H. Liu, Y. F. Huang, C. F. Li, C. G. Guo, and Y. S. Zhang, “Experimental realization of sequential weak measurements of non-commuting Pauli observables,” Opt. Express 27, 6089–6097 (2019).

[Crossref]

Q. Li, C.-J. Zhang, Z.-D. Cheng, W.-Z. Liu, J.-F. Wang, F.-F. Yan, Z.-H. Lin, Y. Xiao, K. Sun, Y.-T. Wang, J.-S. Tang, J.-S. Xu, C.-F. Li, and G.-C. Guo, “Experimental simulation of anti-parity-time symmetric Lorentz dynamics,” Optica 6, 67–71 (2019).

[Crossref]

L. Vaidman, “Weak value controversy,” Philos. Trans. R. Soc. London, Ser. A 375, 20160395 (2017).

[Crossref]

K. J. Resch, J. S. Lundeen, and A. M. Steinberg, “Experimental realization of the quantum box problem,” Phys. Lett. A 324, 125–131 (2004).

[Crossref]

Y. Aharonov, A. Botero, S. Popescu, B. Reznik, and J. Tollaksen, “Revisiting Hardy’s paradox: counterfactual statements, real measurements, entanglement and weak values,” Phys. Lett. A 301, 130–138 (2002).

[Crossref]

A. G. Kofman, S. Ashkab, and F. Nori, “Nonperturbative theory of weak pre-and post-selected measurements,” Phys. Rep. 520, 43–133 (2012).

[Crossref]

G. I. Viza, J. Martinez-Rincon, G. B. Alves, A. N. Jordan, and J. C. Howell, “Experimentally quantifying the advantages of weak-value-based metrology,” Phys. Rev. A 92, 032127 (2015).

[Crossref]

J. Combes, C. Ferrie, Z. Jiang, and C. M. Caves, “Quantum limits on postselected, probabilistic quantum metrology,” Phys. Rev. A 89, 052117 (2014).

[Crossref]

L. P. García-Pintos and J. Dressel, “Past observable dynamics of a continuously monitored qubit,” Phys. Rev. A 96, 062110 (2017).

[Crossref]

G. Mitchison, R. Jozsa, and S. Popescu, “Sequential weak measurement,” Phys. Rev. A 76, 062105 (2007).

[Crossref]

H. M. Wiseman, “Weak values, quantum trajectories, and the cavity-QED experiment on wave-particle correlation,” Phys. Rev. A 65, 032111 (2002).

[Crossref]

H. Kobayashi, G. Puentes, and Y. Shikano, “Extracting joint weak values from two-dimensional spatial displacements,” Phys. Rev. A 86, 053805 (2012).

[Crossref]

E. Cohen and M. Nowakowski, “Comment on ‘Measurements without probabilities in the final state proposal’,” Phys. Rev. D 97, 088501 (2018).

[Crossref]

R. Bousso and D. Stanford, “Reply to “Comment on ‘Measurements without probabilities in the final state proposal’”,” Phys. Rev. D 97, 088502 (2018).

[Crossref]

I. M. Duck, P. M. Stevenson, and E. C. G. Sudarshan, “The sense in which a “weak measurement” of a spin-1/2 particle’s spin component yields a value 100,” Phys. Rev. D 40, 2112–2117 (1989).

[Crossref]

Y. Aharonov, D. Z. Albert, and L. Vaidman, “How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100,” Phys. Rev. Lett. 60, 1351–1354 (1988).

[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, “Ultrasensitive beam deflection measurement via interferometric weak value amplification,” Phys. Rev. Lett. 102, 173601 (2009).

[Crossref]

J. S. Lundeen and A. M. Steinberg, “Experimental joint weak measurement on a photon pair as a probe of Hardy’s paradox,” Phys. Rev. Lett. 102, 020404 (2009).

[Crossref]

J. Dressel, C. J. Broadbent, J. C. Howell, and A. N. Jordan, “Experimental violation of two-party Leggett-Garg inequalities with semiweak measurements,” Phys. Rev. Lett. 106, 040402 (2011).

[Crossref]

J. Martínez-Rincón, W.-T. Liu, G. I. Viza, and J. C. Howell, “Can anomalous amplification be attained without postselection?” Phys. Rev. Lett. 116, 100803 (2016).

[Crossref]

N. Brunner and C. Simon, “Measuring small longitudinal phase shifts: weak measurements or standard interferometry?” Phys. Rev. Lett. 105, 010405 (2010).

[Crossref]

X.-Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C.-F. Li, and G.-C. Guo, “Phase estimation with weak measurement using a white light source,” Phys. Rev. Lett. 111, 033604 (2013).

[Crossref]

G. Strubi and C. Bruder, “Measuring ultrasmall time delays of light by joint weak measurements,” Phys. Rev. Lett. 110, 083605 (2013).

[Crossref]

A. Feizpour, X. Xing, and A. M. Steinberg, “Amplifying single-photon nonlinearity using weak measurements,” Phys. Rev. Lett. 107, 133603 (2011).

[Crossref]

J. Dressel, K. Y. Bliokh, and F. Nori, “Classical field approach to quantum weak measurements,” Phys. Rev. Lett. 112, 110407 (2014).

[Crossref]

C. Ferrie and J. Combes, “Weak value amplification is suboptimal for estimation and detection,” Phys. Rev. Lett. 112, 040406 (2014).

[Crossref]

A. N. Jordan, J. Martinez-Rincon, and J. C. Howell, “Technical advantages for weak-value amplification: when less is more,” Phys. Rev. X 4, 011031 (2014).

[Crossref]

A. A. Abbott, R. Silva, J. Wechs, N. Brunner, and C. Branciard, “Anomalous weak values without post-selection,” Quantum 3, 194–208 (2019).

[Crossref]

E. Cohen, “Quantum measurements-yet another surprise,” Quantum Views 3, 27 (2019).

[Crossref]

C. Emary, N. Lambert, and F. Nori, “Leggett-Garg inequalities,” Rep. Prog. Phys. 77, 016001 (2014).

[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, “Colloquium: understanding quantum weak values: basics and applications,” Rev. Mod. Phys. 86, 307–316 (2014).

[Crossref]

O. Hosten and P. Kwiat, “Observation of the spin Hall effect of light via weak measurements,” Science 319, 787–790 (2008).

[Crossref]

S. Kocsis, B. Braverman, S. Ravets, M. J. Stevens, R. P. Mirin, L. K. Shalm, and A. M. Steinberg, “Observing the average trajectories of single photons in a two-slit interferometer,” Science 332, 1170–1173 (2011).

[Crossref]

Y. Aharonov, S. Popescu, and J. Tollaksen, “Each instant of time a new universe,” in Quantum Theory: A Two-Time Success Story (Springer, 2014), pp. 21–36.

Y. Aharonov and E. Cohen, “Weak values and quantum nonlocality,” arXiv:1504.03797 (2015).

Corr(A,B)=∑i,j(Ai,j−A¯)(Bi,j−B¯)∑i,j(Ai,j−A¯)2∑i,j(Bi,j−B¯)2, where Ai,j(Bi,j) represents the gray level of image A(B) at pixel (i,j), and A¯(B¯) means the average value.