|
|
|
Rigorous verification of quantum contextuality from anomalous weak value |
| Wei-Qian Zhao(赵炜谦)1, Si-Nan Pang(庞斯楠)1, Zi-Fu Su(苏子富)1, Tian-Ming Zhao(赵天明)2, Jin-Dong Wang(王金东)2,4, and Ya-Fei Yu(於亚飞)1,3,† |
1 Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510006, China;
2 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, South China Normal University, Guangzhou 510006, China;
3 Quantum Science Center of Guangdong-Hong Kong-Macao Greater Bay Area, Shenzhen-Hong Kong International Science and Technology Park, Shenzhen 518109, China;
4 Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, South China Normal University, Guangzhou 510006, China |
|
|
|
|
Abstract Weak measurement offers a powerful framework for probing nonclassical features of quantum mechanics, with anomalous weak values serving as operational signatures of contextuality. While the anomalous weak value verification of quantum contextuality has been predominantly investigated in the single-photon regime and analyzed under approximation condition of infinitesimally small perturbation strength. This study releases the approximation condition and takes into account the impact of perturbation strength on the rigor of the verification. And the investigation on the verification of contextuality is extended to the multi-photon scenarios for observing the influence of the correlation between photons on the verification. Without the limitation of infinitesimally small probability of disturbance, anomalous weak values are identified as necessary for contextuality to emerge, thereby refining the criterion proposed by Pusey [Phys. Rev. Lett. 113 200401 (2014)]. In the multi-photon scenarios, the emergence of contextuality also depends strongly on both the photon number and the photon-number distribution state. In particular, contextuality is found to be maximized when the single-photon component dominates and the second-order correlation is lower. These results highlight the critical role of photon statistics in experimental tests of contextuality via anomalous weak values.
|
Received: 19 June 2025
Revised: 19 July 2025
Accepted manuscript online: 28 July 2025
|
|
PACS:
|
03.65.Ta
|
(Foundations of quantum mechanics; measurement theory)
|
| |
03.67.-a
|
(Quantum information)
|
| |
42.50.-p
|
(Quantum optics)
|
| |
42.50.Xa
|
(Optical tests of quantum theory)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 62371199 and 62071186), the Natural Science Foundation of Guangdong Province, China (Grant No. 2024A1515012427), the Quantum Science Strategic Initiative Project of Guangdong Province, China (Grant No. GDZX2305001), and the Key Laboratory Project of Guangdong Province, China (Grant No. 2020B1212060066). |
Cite this article:
Wei-Qian Zhao(赵炜谦), Si-Nan Pang(庞斯楠), Zi-Fu Su(苏子富), Tian-Ming Zhao(赵天明), Jin-Dong Wang(王金东), and Ya-Fei Yu(於亚飞) Rigorous verification of quantum contextuality from anomalous weak value 2026 Chin. Phys. B 35 020301
|
[1] Aharonov Y, Albert D Z and Vaidman L 1988 Phys. Rev. Lett. 60 1351
[2] Aharonov Y and Vaidman L 1990 Phys. Rev. A 41 11
[3] De Zela F 2022 Phys. Rev. A 105 042202
[4] Manko S, Frolovtsev D and Magnitskiy S 2022 Weak measurements with adjustable strength 2022 International Conference Laser Optics (ICLO) pp. 1-1
[5] Dressel J, Malik M, Miatto F M, Jordan A N and Boyd R W 2014 Rev. Mod. Phys. 86 307
[6] Xu K, Hu X M, Hu M J, Wang N N, Zhang C, Huang Y F, Liu B H, Li C F, Guo G C and Zhang Y S 2024 Chin. Phys. B 33 030602
[7] Wang C, Harraz S, Zhang J Y and Cong S 2023 Chin. Phys. B 32 050306
[8] Li Y L, Zeng Y B, Yao L and Xiao X 2023 Chin. Phys. B 32 010303
[9] Aharonov Y, Botero A, Popescu S, Reznik B and Tollaksen J 2002 Phys. Lett. A 301 130
[10] Dressel J, Broadbent C J, Howell J C and Jordan A N 2011 Phys. Rev. Lett. 106 040402
[11] Goggin M E, Almeida M P, Barbieri M, Lanyon B P, O’Brien J L, White A G and Pryde G J 2011 Proc. Natl. Acad. Sci. USA 108 1256
[12] Suzuki Y, Iinuma M and Hofmann H F 2012 New J. Phys. 14 103022
[13] Groen J P, Riste D, Tornberg L, Cramer J, de Groot P C, Picot T, Jo- hansson G and DiCarlo L 2013 Phys. Rev. Lett. 111 090506
[14] Emary C, Lambert N and Nori F 2013 Rep. Prog. Phys. 77 016001
[15] Pusey M F 2014 Phys. Rev. Lett. 113 200401
[16] Griffiths R B 2019 Philos. Trans. R. Soc. A 377 2157
[17] Jaeger G 2020 Entropy 22
[18] Cimini V, Gianani I, Piacentini F, Degiovanni I P and Barbieri M 2020 Quantum Sci. Technol. 5 025007
[19] Lostaglio M 2018 Phys. Rev. Lett. 120 040602
[20] Zhan X, Kurzy’nski P, Kaszlikowski D, Wang K, Bian Z, Zhang Y and Xue P 2017 Phys. Rev. Lett. 119 220403
[21] Zhan X, Cavalcanti E G, Li J, Bian Z, Zhang Y, Wiseman H M and Xue P 2017 Optica 4 966
[22] Wu C, Hu H, Zhang J, Su W, Zhang M, Zhan T, Qin Q, Wu W and Chen P 2024 Phys. Rev. A 109 032211
[23] Genovese M 2005 Phys. Rep. 413 319
[24] Khrennikov A 2022 Entropy 24
[25] Piacentini F, Avella A, Levi M P, Lussana R, Villa F, Tosi A, Zappa F, Gramegna M, Brida G, Degiovanni I P and Genovese M 2016 Phys. Rev. Lett. 116 180401
[26] Kunjwal R, Lostaglio M and Pusey M F 2019 Phys. Rev. A 100 042116
[27] Song X F, Liu S, Chen X H and Turek Y 2024 Phys. Rev. A 110 062217
[28] Yadavalli S A and Kunjwal R 2022 Quantum 6 839
[29] Pang S, Dressel J and Brun T A 2014 Phys. Rev. Lett. 113 030401
[30] Hofmann H F 2020 Phys. Rev. A 102 062215
[31] Chen J S, Liu B H, Hu M J, Hu X M, Li C F, Guo G C and Zhang Y S 2019 Phys. Rev. A 99 032120
[32] Dell’Anno 2006 Phys. Rep. 428 53 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
