Comment on ‘Two-state vector formalism and quantum interference’. (English) Zbl 1382.81027
Summary: F. A. Hashmi et al. [ibid. 49, No. 34, Article ID 345302, 12 p. (2016; Zbl 1347.81021)] claimed that the approach to the past of a quantum particle introduced by the author [“Past of a quantum particle”, Phys. Rev. A (3) 87, No. 5, Article ID 052104, 6 p. (2013; doi:10.1103/PhysRevA.87.052104)] has difficulties in certain examples and that it can even be refuted. Here I reply to their criticism showing that the approach provides a good explanation for all the examples they considered. It is fully consistent with standard quantum mechanics and provides a useful tool for analyzing interference experiments.
MSC:
| 81P15 | Quantum measurement theory, state operations, state preparations |
| 81V80 | Quantum optics |
| 81P05 | General and philosophical questions in quantum theory |
Citations:
Zbl 1347.81021References:
| [1] | Hashmi, F. A.; Li, F.; Zhu, S-Y; Zubairy, M. S., J. Phys. A: Math. Theor., 49, (2016) · Zbl 1347.81021 · doi:10.1088/1751-8113/49/34/345302 |
| [2] | Vaidman, L., Phys. Rev. A, 87, (2013) · doi:10.1103/PhysRevA.87.052104 |
| [3] | Li, Z. H.; Al-Amri, M.; Zubairy, M. S., Phys. Rev. A, 88, (2013) · doi:10.1103/PhysRevA.88.046102 |
| [4] | Vaidman, L., Phys. Rev. A, 88, (2013) · doi:10.1103/PhysRevA.88.046103 |
| [5] | Danan, A.; Farfurnik, D.; Bar-Ad, S.; Vaidman, L., Phys. Rev. Lett., 111, (2013) · doi:10.1103/PhysRevLett.111.240402 |
| [6] | Vaidman, L., Phys. Rev. A, 89, (2014) · doi:10.1103/PhysRevA.89.024102 |
| [7] | Alonso, M. A.; Jordan, A. N., Quantum Stud.: Math. Found., 2, 255, (2015) · Zbl 1321.81071 · doi:10.1007/s40509-015-0044-8 |
| [8] | Salih, H., Front. Phys., 3, 47, (2015) · doi:10.3389/fphy.2015.00047 |
| [9] | Danan, A.; Farfurnik, D.; Bar-Ad, S.; Vaidman, L., Front. Phys., 3, 48, (2015) · doi:10.3389/fphy.2015.00048 |
| [10] | Bartkiewicz, K.; Cernoch, A.; Javurek, D.; Lemr, K.; Soubusta, J.; Svozilk, J., Phys. Rev. A, 91, (2015) · doi:10.1103/PhysRevA.91.012103 |
| [11] | Vaidman, L., Phys. Rev. A, 93, (2016) · doi:10.1103/PhysRevA.93.036103 |
| [12] | Potoček, V.; Ferenczi, G., Phys. Rev. A, 92, (2015) · doi:10.1103/PhysRevA.92.023829 |
| [13] | Vaidman, L., Phys. Rev. A, 93, (2016) · doi:10.1103/PhysRevA.93.017801 |
| [14] | Svensson, B. E Y., Found. Phys., 45, 1645, (2015) · Zbl 1330.81035 · doi:10.1007/s10701-015-9951-0 |
| [15] | Ben-Israel, A.; Vaidman, L., Found. Phys., 47, 467, (2017) · Zbl 1368.81036 · doi:10.1007/s10701-017-0071-x |
| [16] | Svensson, B. E Y., Found. Phys., 47, 1258, (2017) · Zbl 1385.81011 · doi:10.1007/s10701-017-0108-1 |
| [17] | Fu, L.; Hashmi, F. A.; Jun-Xiang, Z.; Shi-Yao, Z., Chin. Phys. Lett., 32, (2015) · doi:10.1088/0256-307X/32/5/050303 |
| [18] | Ben-Israel, A.; Knips, L.; Dziewior, J.; Meinecke, J.; Danan, A.; Weinfurter, H.; Vaidman, L., Chin. Phys. Lett., 34, (2017) · doi:10.1088/0256-307X/34/2/020301 |
| [19] | Sokolovski, D., Phys. Lett. A, 381, 227, (2017) · Zbl 1372.81016 · doi:10.1016/j.physleta.2016.11.010 |
| [20] | Vaidman, L., (2017) |
| [21] | Griffiths, R., Phys. Rev. A, 94, (2016) · doi:10.1103/PhysRevA.94.032115 |
| [22] | Vaidman, L., Phys. Rev. A, 95, (2017) · doi:10.1103/PhysRevA.95.066101 |
| [23] | Griffiths, R., Phys. Rev. A, 95, (2017) · doi:10.1103/PhysRevA.95.066102 |
| [24] | Nikolaev, G. N., JETP Lett., 105, 152, (2017) · doi:10.1134/S0021364017030110 |
| [25] | Vaidman, L., JETP Lett., 105, 473, (2017) · doi:10.1134/S0021364017070037 |
| [26] | Nikolaev, G. N., JETP Lett., 105, 475, (2017) · doi:10.1134/S0021364017070116 |
| [27] | Duprey, D.; Matzkin, A., Phys. Rev. A, 95, (2017) · doi:10.1103/PhysRevA.95.032110 |
| [28] | Zhou, Z-Q; Liu, X.; Kedem, Y.; Cui, J. M.; Li, Z. F.; Hua, Y. L.; Li, C. F.; Guo, G. C., Phys. Rev. A, 95, (2017) · doi:10.1103/PhysRevA.95.042121 |
| [29] | Aharonov, Y.; Cohen, E.; Landau, A.; Elitzur, A., Sci. Rep., 7, 531, (2017) · doi:10.1038/s41598-017-00274-w |
| [30] | Jozsa, R.; Williams, C. P., Lecture Notes in Computer Science, vol 1509, p 103, (1998), London: Springer, London |
| [31] | Hosten, O.; Rakher, M. T.; Barreiro, J. T.; Peters, N. A.; Kwiat, P. G., Nature, 439, 949, (2006) · doi:10.1038/nature04523 |
| [32] | Vaidman, L., Phys. Rev. Lett., 98, (2007) · doi:10.1103/PhysRevLett.98.160403 |
| [33] | Salih, H.; Li, Z. H.; Al-Amri, M.; Zubairy, M. S., Phys. Rev. Lett., 110, (2013) · doi:10.1103/PhysRevLett.110.170502 |
| [34] | Gisin, N., Phys. Rev. A, 88, (2013) · doi:10.1103/PhysRevA.88.030301 |
| [35] | Vaidman, L., Phys. Rev. Lett., 112, (2014) · doi:10.1103/PhysRevLett.112.208901 |
| [36] | Salih, H.; Li, Z. H.; Al-Amri, M.; Zubairy, M. S., Phys. Rev. Lett., 112, (2014) · doi:10.1103/PhysRevLett.112.208902 |
| [37] | Li, Z. H.; Al-Amri, M.; Zubairy, M. S., Phys. Rev. A, 89, (2014) · doi:10.1103/PhysRevA.89.052334 |
| [38] | Vaidman, L., J. Phys. A: Math. Theor., 48, (2015) · Zbl 1329.81147 · doi:10.1088/1751-8113/48/46/465303 |
| [39] | Salih, H., Front. Phys., 3, 94, (2016) · doi:10.3389/fphy.2015.00094 |
| [40] | Li, Z. H.; Al-Amri, M.; Zubairy, M. S., Phys. Rev. A, 92, (2015) · doi:10.1103/PhysRevA.92.052315 |
| [41] | Vaidman, L., Phys. Rev. A, 93, (2016) · doi:10.1103/PhysRevA.93.066301 |
| [42] | Li, Z. H.; Al-Amri, M.; Zubairy, M. S., Phys. Rev. A, 93, (2016) · doi:10.1103/PhysRevA.93.066302 |
| [43] | Arvidsson-Shukur, D. R M.; Barnes, C. H W., Phys. Rev. A, 94, (2016) · doi:10.1103/PhysRevA.94.062303 |
| [44] | Cao, Y. Y.; Li, Y-H; Cao, Z.; Yin, J.; Chen, Y-A; Yina, H-L; Chen, T-Y; Ma, X.; Peng, C-Z; Pan, J-W, Proc. Natl Acad. Sci., 114, 4920, (2017) · doi:10.1073/pnas.1614560114 |
| [45] | Aharonov, Y.; Bergmann, P. G.; Lebowitz, J. L., Phys. Rev. B, 134, 1410, (1864) |
| [46] | Aharonov, Y.; Albert, D.; Vaidman, L., Phys. Rev. Lett., 60, 1351, (1988) · doi:10.1103/PhysRevLett.60.1351 |
| [47] | Aharonov, Y.; Vaidman, L., Phys. Rev. A, 41, 11, (1990) · doi:10.1103/PhysRevA.41.11 |
| [48] | Englert, B. G.; Scully, M. O.; Süssmann, G.; Walther, H., Z. Naturforsch. A, 47, 1175, (1992) · doi:10.1515/zna-1992-1201 |
| [49] | Naaman-Marom, G.; Erez, N.; Vaidman, L., Ann. Phys., 327, 2522, (2012) · Zbl 1254.81050 · doi:10.1016/j.aop.2012.07.005 |
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