- 
								[1]
								J. Watrous, Quantum computational complexity, arXiv: 0804.3401 
- 
								[2]
								N. Bao and J. Liu, JHEP 08, 144 (2018) 
- 
								[3]
								S. Arora and B. Barak, Computational Complexity: A Modern Approach, 1st ed. (Cambridge University Press, New York, 2009) 
- 
								[4]
								C. Moore and S. Mertens, The Nature of Computation, (Oxford University Press, New York, 2011) 
- 
								[5]
								A. Bernamonti, F. Galli, J. Hernandez et al., Phys. Rev. Lett. 123, 081601 (2019) 
- 
								[6]
								L. Susskind and Y. Zhao, Switchbacks and the bridge to nowhere, arXiv: 1408.2823 
- 
								[7]
								M. A. Nielsen, M. R. Dowling, M. Gu et al., Science 311, 1133 (2006) 
- 
								[8]
								M. R. Dowling and M. A. Nielsen, The geometry of quantum computation, arXiv: quant-ph/0701004 
- 
								[9]
								R. Jefferson and R. C. Myers, JHEP 10, 107 (2017) 
- 
								[10]
								R. Q. Yang, Y. S. An, C. Niu et al., Axiomatic complexity in quantum field theory and its applications, arXiv: 1803.01797 
- 
								[11]
								L. Hackl and R. C. Myers, JHEP 07, 139 (2018) 
- 
								[12]
								S. Chapman, M. P. Heller, H. Marrochio et al., Phys. Rev. Lett. 120, 121602 (2018) 
- 
								[13]
								R. Q. Yang, Y. S. An, C. Niu et al., JHEP 03, 161 (2019) 
- 
								[14]
								A. Bhattacharyya, P. Caputa, S. R. Das et al., JHEP 07, 086 (2018) 
- 
								[15]
								V. Vanchurin, JHEP 06, 001 (2016) 
- 
								[16]
								J. Jiang, J. Shan, and J. Yang, Nucl. Phys. B 954, 114988 (2020) 
- 
								[17]
								J. Molina-Vilaplana and A. Del Campo, JHEP 08, 012 (2018) 
- 
								[18]
								T. Ali, A. Bhattacharyya, S. Shajidul Haque et al., JHEP 04, 087 (2019) 
- 
								[19]
								J. Couch, S. Eccles, W. Fischler et al., JHEP 03, 108 (2018) 
- 
								[20]
								M. Guo, J. Hernandez, R. C. Myers et al., JHEP 10, 011 (2018) 
- 
								[21]
								R. Q. Yang, Y. S. An, C. Niu et al., Eur. Phys. J. C 79(2), 109 (2019) 
- 
								[22]
								R. Khan, C. Krishnan, and S. Sharma, Phys. Rev. D 98(12), 126001 (2018) 
- 
								[23]
								S. Chapman and H. Z. Chen, JHEP 02, 187 (2021) 
- 
								[24]
								M. Sinamuli and R. B. Mann, Phys. Rev. D 99(10), 106013 (2019) 
- 
								[25]
								J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998) 
- 
								[26]
								S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998) 
- 
								[27]
								O. Aharony, S. S. Gubser, J. Maldacena et al, Phys. Rept. 323, 183 (2000) 
- 
								[28]
								M. Alishahiha, Phys. Rev. D 92(12), 126009 (2015) 
- 
								[29]
								J. Tao, P. Wang, and H. Yang, Eur. Phys. J. C 77(12), 817 (2017) 
- 
								[30]
								A. R. Brown, D. A. Roberts, L. Susskind et al., Phys. Rev. Lett. 116, 191301 (2016) 
- 
								[31]
								A. R. Brown, D. A. Roberts, L. Susskind et al., Phys. Rev. D 93, 086006 (2016) 
- 
								[32]
								J. L. F. Barbon and J. Martin-Garcia, JHEP 11, 181 (2015) 
- 
								[33]
								D. Carmi, R. C. Myers, and P. Rath, JHEP 03, 118 (2017) 
- 
								[34]
								K. Y. Kim, C. Niu, and R. Q. Yang, JHEP 09, 042 (2017) 
- 
								[35]
								A. Reynolds and S. F. Ross, Classical Quantum Gravity 34, 175013 (2017) 
- 
								[36]
								S. Chapman, H. Marrochio, and R. C. Myers, JHEP 01, 062 (2017) 
- 
								[37]
								Z. Y. Fan and M. Guo, JHEP 08, 031 (2018) 
- 
								[38]
								J. Jiang and B. X. Ge, Phys. Rev. D 99(12), 126006 (2019) 
- 
								[39]
								J. Jiang and X.-W. Li, Phys. Rev. D 100(6), 066026 (2019) 
- 
								[40]
								A. R. Brown and L. Susskind, Phys. Rev. D 97, 086015 (2018) 
- 
								[41]
								Z. Fu, A. Maloney, D. Marolf et al., JHEP 02, 072 (2018) 
- 
								[42]
								D. Ageev, I. Arefeva, A. Bagrov et al., JHEP 08, 071 (2018) 
- 
								[43]
								F. J. G. Abad, M. Kulaxizi, and A. Parnachev, JHEP 01, 127 (2018) 
- 
								[44]
								K. Nagasaki, Phys. Rev. D 96(12), 126018 (2017) 
- 
								[45]
								K. Nagasaki, Phys. Rev. D 98(12), 126014 (2018) 
- 
								[46]
								K. Nagasaki, Int. J. Mod. Phys. A 38(04n05), 2350027 (2023) 
- 
								[47]
								K. Nagasaki, PTEP 4, 043B02 (2022) 
- 
								[48]
								Y. T. Zhou, X. M. Kuang, and J. P. Wu, Eur. Phys. J. C 81(8), 768 (2021) 
- 
								[49]
								F. F. Santos, Eur. Phys. J. Plus 135(10), 810 (2020) 
- 
								[50]
								M. B. Gaete and F. F. Santos, Eur. Phys. J. C 82(2), 101 (2022) 
- 
								[51]
								W. B. Chang, D. F. Hou, Chin. Phys. C 48(3), 034106 (2024) 
- 
								[52]
								S. Chakrabortty, Phys. Lett. B 705, 244 (2011) 
- 
								[53]
								S. Chakrabortty and T. K. Dey, JHEP 05, 094 (2016) 
- 
								[54]
								P. P. Wu, X. R. Zhu, and Z. Q. Zhang, Nucl. Phys. B 952, 114917 (2020) 
- 
								[55]
								Z. q. Zhang, Phys. Rev. D 101(10), 106005 (2020) 
- 
								[56]
								S. Chakrabortty, S. Pant, and K. Sil, JHEP 06, 061 (2020) 
- 
								[57]
								S. S. Gubser, Phys. Rev. D 74, 126005 (2006) 
- 
								[58]
								C. P. Herzog, A. Karch, P. Kovtun et al., JHEP 07, 013 (2006) 
- 
								[59]
								J. Casalderrey-Solana and D. Teaney, Phys. Rev. D 74, 085012 (2006)