We study the Kramers-Wannier duality for the transverse-field Ising lattice on a ring. A careful consideration of the ring boundary conditions shows that the duality has to be implemented with a proper treatment of different charge sectors of both the twisted and untwisted Ising and the dual-Ising Hilbert spaces. We construct a superoperator that explicitly maps the Ising operators to the dual-Ising operators. The superoperator naturally acts on the tensor product of the Ising and the dual-Ising Hilbert space. We then show that the relation between our superoperator and the Kramers-Wannier duality operator that maps the Ising Hilbert space to the dual-Ising Hilbert space is naturally provided by quantum operations and the duality can be understood as a quantum operation that we construct. We provide the operator-sum representation for the Kramers-Wannier quantum operations and reproduce the well-known fusion rules. In addition to providing the quantum information perspective on the Kramers-Wannier duality, our explicit protocol will also be useful in implementing the Kramers-Wannier duality on a quantum computer.
Stress has become an important topic in academic circle. Many scholars in the field of behavioural science have carried out extensive research on stress and its outcomes and concluded that the topic needed more attention. This study checked the prevalence of stress in college students and its association with three factors. It explored the components of academic stress among post graduate students and their effects on overall academic life, intrapersonal life and social life. A questionnaire based study was conducted between Commerce and Law students in Aligarh Muslim University, Aligarh (UP), India. Questionnaires validity was checked and reliability was computed through the cronbach's alpha. Stress level was assessed by using a short version Stress Scale along with pretested socio demographic variables. The scale addressed academic, intrapersonal and social sources of stress. Items in the scale were daily hassles and major life events were not taken. It was concluded that the Post Graduate Commerce Students and Post Graduate Law Students have statistically significantly different mean scores regarding their overall academic life and intrapersonal life. Further, authors found no difference between the two groups in terms of their social life. A substantial proportion of post graduate students were suffering from stress. Most of the commerce students opted to talk to their friends and family, listening music, sleeping and doing religious practices to cope up with the stress while law students emphasized on sleeping, religious activities and eating. Further studies need to be carried to identify other associated factors related to academic stress.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2025 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.