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Qhronology: A Python package for studying quantum models of closed timelike curves

arXiv Quantum Physics
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⚡ Quantum Brief
Lachlan G. Bishop introduced an open-source Python package in January 2026 designed to model closed timelike curves (CTCs), enabling quantum simulations of time travel paradoxes and their resolutions. The tool provides a unified framework for studying antichronological quantum processes while doubling as a full quantum circuit simulator for algorithms and protocols in both numerical and symbolic formats. Key features include paradox-resolution calculations, quantum state evolution under CTC constraints, and empirical benchmarking tools to assess simulation performance and scalability. Examples in the paper demonstrate applications across quantum information theory, paradox scenarios, and hybrid quantum-classical systems, showcasing its versatility for researchers. Benchmark tests highlight its efficiency in circuit simulation, positioning it as a practical resource for theoretical and computational quantum physics studies.
Qhronology: A Python package for studying quantum models of closed timelike curves

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Quantum Physics arXiv:2601.17459 (quant-ph) [Submitted on 24 Jan 2026] Title:Qhronology: A Python package for studying quantum models of closed timelike curves Authors:Lachlan G. Bishop View a PDF of the paper titled Qhronology: A Python package for studying quantum models of closed timelike curves, by Lachlan G. Bishop View PDF Abstract:Qhronology is a novel scientific-computing package for studying quantum models of closed timelike curves (CTCs) and simulating general quantum information processing and computation. Written in Python, the program provides a comprehensive framework for analyzing quantum theories of antichronological time travel, including functionality to calculate quantum resolutions to temporal paradoxes. It also operates as a complete quantum circuit simulator, enabling the examination of quantum algorithms and protocols in both numerical and symbolic capacities. In this paper, we formally introduce Qhronology, beginning with discussion on aspects of its design philosophy and architecture. An overview of its basic usage is then presented, along with a collection of examples demonstrating its various capabilities within a variety of distinct contexts. Lastly, the performance of the package's circuit simulation component is characterized by way of some simple empirical benchmarking. Comments: Subjects: Quantum Physics (quant-ph); Computational Physics (physics.comp-ph) Cite as: arXiv:2601.17459 [quant-ph] (or arXiv:2601.17459v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.17459 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Lachlan Bishop [view email] [v1] Sat, 24 Jan 2026 13:21:46 UTC (4,639 KB) Full-text links: Access Paper: View a PDF of the paper titled Qhronology: A Python package for studying quantum models of closed timelike curves, by Lachlan G. BishopView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-01 Change to browse by: physics physics.comp-ph 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