{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T04:30:47Z","timestamp":1772253047207,"version":"3.50.1"},"reference-count":86,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T00:00:00Z","timestamp":1660176000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Computation of circuit complexity has gained much attention in the theoretical physics community in recent times, to gain insights into the chaotic features and random fluctuations of fields in the quantum regime. Recent studies of circuit complexity take inspiration from Nielsen\u2019s geometric approach, which is based on the idea of optimal quantum control in which a cost function is introduced for the various possible path to determine the optimum circuit. In this paper, we study the relationship between the circuit complexity and Morse theory within the framework of algebraic topology, which will then help us study circuit complexity in supersymmetric quantum field theory describing both simple and inverted harmonic oscillators up to higher orders of quantum corrections. We will restrict ourselves to N=1 supersymmetry with one fermionic generator Q\u03b1. The expression of circuit complexity in quantum regime would then be given by the Hessian of the Morse function in supersymmetric quantum field theory. We also provide technical proof of the well known universal connecting relation between quantum chaos and circuit complexity of the supersymmetric quantum field theories, using the general description of Morse theory.<\/jats:p>","DOI":"10.3390\/sym14081656","type":"journal-article","created":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T23:05:49Z","timestamp":1660259149000},"page":"1656","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Circuit Complexity from Supersymmetric Quantum Field Theory with Morse Function"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0459-3873","authenticated-orcid":false,"given":"Sayantan","family":"Choudhury","sequence":"first","affiliation":[{"name":"School of Physical Sciences, National Institute of Science Education and Research, Bhubaneswar 752050, India"},{"name":"Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2145-0911","authenticated-orcid":false,"given":"Sachin Panneer","family":"Selvam","sequence":"additional","affiliation":[{"name":"Department of Physics, Birla Institute of Technology and Science, Hyderabad Campus, Hyderabad 500078, India"}]},{"given":"K.","family":"Shirish","sequence":"additional","affiliation":[{"name":"Department of Physics, Visvesvaraya National Institute of Technology, Nagpur 440010, India"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/JHEP04(2014)195","article-title":"Gravitational dynamics from entanglement \u2019thermodynamics\u2019","volume":"4","author":"Lashkari","year":"2014","journal-title":"J. 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