Engineering Perfect State Transfer Graphs via Givens Transformations

Quantum Physics [Submitted on 2 Apr 2026] Engineering Perfect State Transfer Graphs via Givens Transformations Pablo Serra, Alejandro Ferrón, Omar Osenda Perfect quantum state transfer is achievable in different settings, including linear qubit chains, bi-dimensional arrays, ladders, etc. The most studied case contemplates transferring arbitrary one-qubit pure states in systems with homogeneous interactions. These restrictions allow finding numerous examples of systems that show perfect transfer but in geometries that are not implementable or are very difficult to implement in actual experimental settings. Relaxing the homogeneity of the interactions and inspired by the XX qubit chains that show perfect transmission, we present a simple scheme based on the Givens Transformations to analyse and obtain a class of qubit graphs that possess perfect quantum state transmission. We present some simple examples and show how it is possible to generalize them for longer transmission lengths. Comments: 21 pages, 10 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.02536 [quant-ph]   (or arXiv:2604.02536v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.02536 Focus to learn more Submission history From: Alejandro Ferrón [view email] [v1] Thu, 2 Apr 2026 21:40:06 UTC (533 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 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?)