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Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers from the University of Science and Technology of China propose a breakthrough nonunitary method to prepare nontrivial quantum states in 2D topological insulators, addressing a long-standing experimental challenge in state preparation. The study introduces dephasing noise into slowly driven unitary evolution, enabling the resulting states to match the topological properties of target nontrivial Hamiltonians—something conventional adiabatic methods fail to achieve. Current adiabatic protocols struggle when transitioning from trivial to nontrivial states due to gap-closing critical points, which prevent the system from maintaining topological properties during unitary evolution. This nearly adiabatic nonunitary approach offers a practical alternative, bypassing the limitations of traditional methods by leveraging controlled noise to stabilize nontrivial topological phases dynamically. The findings could accelerate experimental realization of topological quantum states, with potential applications in fault-tolerant quantum computing and advanced materials science.
Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators

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Quantum Physics arXiv:2603.27028 (quant-ph) [Submitted on 27 Mar 2026] Title:Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators Authors:Qin-Qin Wang, Xiao-Ye Xu, Chuan-Feng Li, Guang-Can Guo View a PDF of the paper titled Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators, by Qin-Qin Wang and 3 other authors View PDF HTML (experimental) Abstract:While remarkable progress has been achieved in engineering nontrivial Hamiltonians across a wide range of physical platforms, preparing their corresponding nontrivial ground states remains a major experimental challenge. The commonly used strategy for state preparation relies on adiabatic protocols. However, when a trivial initial state is unitarily driven toward nontrivial regimes, the dynamics must cross gap-closing critical points, rendering the process intrinsically nonadiabatic, and the state remains topologically trivial. Here, we present a nonunitary method for dynamically preparing nontrivial states in two-dimensional topological insulators. By introducing dephasing noise into a slowly driven unitary evolution, we demonstrate that the topological number of the resulting dephased states can coincide with that of the target nontrivial Hamiltonian. This nearly adiabatic nonunitary state-preparation protocol provides a powerful alternative to conventional adiabatic approaches for accessing topological states. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.27028 [quant-ph] (or arXiv:2603.27028v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.27028 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Qin-Qin Wang [view email] [v1] Fri, 27 Mar 2026 22:36:45 UTC (2,603 KB) Full-text links: Access Paper: View a PDF of the paper titled Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators, by Qin-Qin Wang and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics