- Open Access
Quantum Tomography in Neutral Meson and Antimeson Systems
Phys. Rev. Lett. 136, 181803 – Published 5 May, 2026
DOI: https://doi.org/10.1103/t9vg-hk6c
Abstract
The flavor space of particles produced in collider environments contains informative quantum correlations. We present a systematic approach for constructing the complete flavor density matrix for a meson and antimeson system () in the Bloch vector space at a given time , which can be at or after production. We point out that the and systems are superior to the and systems for quantum tomography because of their flavor oscillation and decay properties. Performing quantum tomography for the system can facilitate the study of production mechanisms, decoherence phenomena, quantum information variables, and potential new sources of violation.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (90)
- M. Gell-Mann and A. Pais, Phys. Rev. 97, 1387 (1955).
- A. Apostolakis et al. (CPLEAR Collaboration), Phys. Lett. B 422, 339 (1998).
- F. Ambrosino et al. (KLOE Collaboration), Phys. Lett. B 642, 315 (2006).
- D. Babusci et al. (KLOE-2 Collaboration), J. High Energy Phys. 04 (2022) 059; 04 (2022) 169(E).
- A. Go (Belle Collaboration), J. Mod. Opt. 51, 991 (2004).
- A. Go et al. (Belle Collaboration), Phys. Rev. Lett. 99, 131802 (2007).
- J. Six, Phys. Lett. 114B, 200 (1982).
- F. Selleri, Lett. Nuovo Cimento 36, 521 (1983).
- P. H. Eberhard, Nucl. Phys. B398, 155 (1993).
- A. Di Domenico, Nucl. Phys. B450, 293 (1995).
- F. Uchiyama, Phys. Lett. A 231, 295 (1997).
- F. Selleri, Phys. Rev. A 56, 3493 (1997).
- R. Foadi and F. Selleri, Phys. Lett. B 461, 123 (1999).
- R. Foadi and F. Selleri, Phys. Rev. A 61, 012106 (2000).
- F. Benatti and R. Floreanini, Phys. Rev. D 57, R1332 (1998).
- F. Benatti and R. Floreanini, Eur. Phys. J. C 13, 267 (2000).
- R. A. Bertlmann, W. Grimus, and B. C. Hiesmayr, Phys. Rev. D 60, 114032 (1999).
- R. A. Bertlmann, W. Grimus, and B. C. Hiesmayr, Phys. Lett. A 289, 21 (2001).
- R. A. Bertlmann and B. C. Hiesmayr, Phys. Rev. A 63, 062112 (2001).
- R. A. Bertlmann, K. Durstberger, and B. C. Hiesmayr, Phys. Rev. A 68, 012111 (2003).
- R. A. Bertlmann, Lect. Notes Phys. 689, 1 (2006).
- J. Li and C.-F. Qiao, Phys. Rev. D 74, 076003 (2006).
- Y.-B. Ding, J.-l. Li, and C.-F. Qiao, High Energy Phys. Nucl. Phys. 31, 1086 (2007).
- A. Bramon and M. Nowakowski, Phys. Rev. Lett. 83, 1 (1999).
- B. Ancochea, A. Bramon, and M. Nowakowski, Phys. Rev. D 60, 094008 (1999).
- N. Gisin and A. Go, Am. J. Phys. 69, 264 (2001).
- R. H. Dalitz and G. Garbarino, Nucl. Phys. B606, 483 (2001).
- A. Bramon and G. Garbarino, Phys. Rev. Lett. 88, 040403 (2002).
- B. C. Hiesmayr, Found. Phys. Lett. 14, 231 (2001).
- A. Datta and D. Home, Phys. Lett. A 119, 3 (1986).
- A. Pompili and F. Selleri, Eur. Phys. J. C 14, 469 (2000).
- T. Ichikawa, S. Tamura, and I. Tsutsui, Phys. Lett. A 373, 39 (2008).
- K. Chen, Z.-P. Xing, and R. Zhu, Nucl. Phys. A1063, 123199 (2025).
- D. Atwood and A. Soni, Phys. Rev. D 82, 036003 (2010).
- S. Banerjee, A. K. Alok, and R. MacKenzie, Eur. Phys. J. Plus 131, 129 (2016).
- Y. Shi and J. Yang, Phys. Rev. D 98, 075019 (2018).
- Y. Shi and J.-C. Yang, Eur. Phys. J. C 80, 861 (2020).
- Y. Takubo, T. Ichikawa, S. Higashino, Y. Mori, K. Nagano, and I. Tsutsui, Phys. Rev. D 104, 056004 (2021).
- M. Fabbrichesi, R. Floreanini, E. Gabrielli, and L. Marzola, Phys. Rev. D 112, L091301 (2025).
- A. J. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985).
- J. Naikoo and S. Banerjee, Eur. Phys. J. C 78, 602 (2018).
- J. Naikoo, A. K. Alok, and S. Banerjee, Phys. Rev. D 97, 053008 (2018).
- M. Blasone, F. Illuminati, L. Petruzziello, K. Simonov, and L. Smaldone, Phys. Rev. A 109, 062209 (2024).
- R. von Kuk, K. Lee, J. K. L. Michel, and Z. Sun, arXiv:2503.22607.
- F. Bloch, Phys. Rev. 70, 460 (1946).
- R. P. Feynman, J. Vernon, Frank L., and R. W. Hellwarth, J. Appl. Phys. 28, 49 (1957).
- P. Caban, J. Rembielinski, K. A. Smolinski, Z. Walczak, and M. Wlodarczyk, Phys. Lett. A 357, 6 (2006).
- F. Roccati, G. M. Palma, F. Bagarello, and F. Ciccarello, Open Syst. Inf. Dyn. 29, 2250004 (2022).
- D. Karamitros, T. McKelvey, and A. Pilaftsis, Phys. Rev. D 108, 016006 (2023); 109, 059901(E) (2024).
- A. K. Alok, S. Banerjee, N. R. S. Chundawat, and S. U. Sankar, J. High Energy Phys. 05 (2024) 124.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/t9vg-hk6c for a detailed derivation of the time evolution of meson systems.
- B. O. Kerbikov, Nucl. Phys. A975, 59 (2018).
- D. Karamitros, T. McKelvey, and A. Pilaftsis, Phys. Rev. D 111, 096020 (2025).
- U. Fano, Rev. Mod. Phys. 55, 855 (1983).
- R. F. Werner, Phys. Rev. A 40, 4277 (1989).
- R. Aaij et al. (LHCb Collaboration), Nat. Phys. 18, 1 (2022).
- A. Apostolakis et al. (CPLEAR Collaboration), Phys. Lett. B 458, 545 (1999).
- C. Oswald and T. K. Pedlar, Mod. Phys. Lett. A 28, 1330036 (2013).
- J. Bernabeu and A. Di Domenico, Phys. Rev. D 105, 116004 (2022).
- D. Babusci et al. (KLOE-2 Collaboration), Phys. Lett. B 845, 138164 (2023).
- R. Glattauer, Proc. Sci. EPS-HEP2015 (2015) 554.
- R. Louvot et al. (Belle Collaboration), Phys. Rev. Lett. 102, 021801 (2009).
- D. d’Enterria and A. M. Snigirev, Phys. Rev. Lett. 118, 122001 (2017).
- R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 100, 031102 (2019).
- Y. Afik, Y. Kats, J. R. M. n. de Nova, A. Soffer, and D. Uzan, Phys. Rev. D 111, L111902 (2025).
- A. Di Domenico, Symmetry 12, 2063 (2020).
- A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
- J. S. Bell, Phys. Phys. Fiz. 1, 195 (1964).
- W. Zurek, Ann. Phys. (Berlin) 512, 855 (2000).
- H. Ollivier and W. H. Zurek, Phys. Rev. Lett. 88, 017901 (2001).
- M. Horodecki, J. Oppenheim, and A. Winter, Nature (London) 436, 673 (2005).
- L. Leone, S. F. E. Oliviero, and A. Hamma, Phys. Rev. Lett. 128, 050402 (2022).
- Y. Afik and J. R. M. de Nova, Eur. Phys. J. Plus 136, 907 (2021).
- A. J. Barr, Phys. Lett. B 825, 136866 (2022).
- M. Fabbrichesi, R. Floreanini, and G. Panizzo, Phys. Rev. Lett. 127, 161801 (2021).
- C. Severi, C. D. E. Boschi, F. Maltoni, and M. Sioli, Eur. Phys. J. C 82, 285 (2022).
- M. Genovese, C. Novero, and E. Predazzi, Phys. Lett. B 513, 401 (2001).
- M. Genovese, C. Novero, and E. Predazzi, Found. Phys. 32, 589 (2002).
- A. Bramon and G. Garbarino, Phys. Rev. Lett. 89, 160401 (2002).
- M. Genovese, Phys. Rev. A 69, 022103 (2004).
- R. A. Bertlmann, A. Bramon, G. Garbarino, and B. C. Hiesmayr, Phys. Lett. A 332, 355 (2004).
- A. Bramon, R. Escribano, and G. Garbarino, J. Mod. Opt. 52, 1681 (2005).
- A. Bramon, R. Escribano, and G. Garbarino, Found. Phys. 36, 563 (2006).
- M. Genovese, Eur. Phys. J. C 42, 25 (2005).
- W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
- J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).
- S. Luo, Phys. Rev. A 77, 042303 (2008).
- T. Han, M. Low, N. McGinnis, and S. Su, J. High Energy Phys. 05 (2025) 081.
- S. Jevtic, M. J. W. Hall, M. R. Anderson, M. Zwierz, and H. M. Wiseman, J. Opt. Soc. Am. B 32, A40 (2015).
- N. Friis, S. Bulusu, and R. Bertlmann, J. Phys. A 50, 125301 (2017).