A Class of Multipartite Entangled States Based on State Transitions

Quantum Physics [Submitted on 4 Jun 2026] A Class of Multipartite Entangled States Based on State Transitions Jehn-Ruey Jiang We introduce Transition states (T states), denoted by $\ket{T_k^n}$, as a class of multipartite entangled states characterized by a fixed number of state transitions between adjacent qubits. These states form equal-amplitude superpositions over all states with a specified transition count. Unlike Bell states based on two-qubit correlations, GHZ states characterized by global correlations among all qubits, and W and Dicke states based on fixed numbers of qubit excitations, T states are defined by transition counts along an ordered sequence of qubits. We prove that T states are unitarily equivalent to Dicke states through a chain of CX (controlled-X) operations, thereby establishing a direct correspondence between transition-based and excitation-based representations of multipartite entanglement. Comments: 9 pages Subjects: Quantum Physics (quant-ph); Computational Complexity (cs.CC) Cite as: arXiv:2606.05579 [quant-ph]   (or arXiv:2606.05579v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2606.05579 Focus to learn more Submission history From: Jehn-Ruey Jiang [view email] [v1] Thu, 4 Jun 2026 01:52:44 UTC (14,645 KB) Access Paper: view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-06 Change to browse by: cs cs.CC References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)