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Unambiguous arbitrary high-dimensional Bell states analyzer via indefinite causal order

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers from China propose a breakthrough method to distinguish arbitrary high-dimensional Bell states using indefinite causal order (ICO), achieving complete and deterministic discrimination for systems with dimensions d ≥ 3. The new approach leverages gravitational ICO as its sole resource, eliminating the need for sequential bit-phase discrimination used in prior schemes. Local single-qudit gates embedded within an ICO switch enable universal Bell-state analysis across any dimension. Unlike previous methods, the process preserves the indefinite causal structure, allowing nondestructive analysis. By iterating the ICO process twice, the team demonstrates a fully reversible Bell-state analyzer. The technique relies on measuring qudits in the standard computational basis, simplifying implementation while maintaining high efficiency. This could enhance quantum communication protocols like teleportation and cryptography. Published in New Journal of Physics (2025), the work advances high-dimensional quantum information processing by overcoming longstanding limitations in Bell-state discrimination.
Unambiguous arbitrary high-dimensional Bell states analyzer via indefinite causal order

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Quantum Physics arXiv:2604.03577 (quant-ph) [Submitted on 4 Apr 2026] Title:Unambiguous arbitrary high-dimensional Bell states analyzer via indefinite causal order Authors:Jun-Hai Zhao, Wen-Qiang Liu, Hai-Rui Wei View a PDF of the paper titled Unambiguous arbitrary high-dimensional Bell states analyzer via indefinite causal order, by Jun-Hai Zhao and 1 other authors View PDF HTML (experimental) Abstract:High-dimensional quantum systems greatly outperform their two-dimensional counterparts in channel capacity, quantum complexity and efficiency, quantum communication security, etc. Bell-state analyzer (BSA) is a crucial prerequisite for a number of quantum communication protocols. We propose an approach for completely and deterministically distinguishing a set of arbitrary $d$-dimensional ($d \geq 3$) Bell states via indefinite causal order (ICO). In previous schemes, bit and phase information are discriminated in succession. Exploiting the gravitational ICO as the sole resource, we propose some high-dimensional BSA schemes. Independent of the dimensions, a set of generalized Bell states are completely and deterministically discriminated by adjusting the form of the embedded local single-qudit gates within ICO switch and measuring each qudit in the $\{|0\rangle, |1\rangle, \cdots, |d-1\rangle\}$ basis. Notably, in our high-dimensional BSA process, the indefinite causal structure is not consumed. Hence a completely nondestructive high-dimensional BSA can be achieved by iterating the indefinite causal structure process for two rounds. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.03577 [quant-ph] (or arXiv:2604.03577v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.03577 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: New Journal of Physics 27(12): 124504 (2025) Submission history From: Hai-Rui Wei [view email] [v1] Sat, 4 Apr 2026 04:02:53 UTC (380 KB) Full-text links: Access Paper: View a PDF of the paper titled Unambiguous arbitrary high-dimensional Bell states analyzer via indefinite causal order, by Jun-Hai Zhao and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?) 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