Parity-unfolded distillation architecture for noise-biased platforms

Quantum Physics [Submitted on 16 Apr 2026] Parity-unfolded distillation architecture for noise-biased platforms Konstantin Tiurev, Christoph Fleckenstein, Christophe Goeller, Paul Schnabl, Matthias Traube, Nitica Sakharwade, Anette Messinger, Josua Unger, Wolfgang Lechner We introduce the parity-unfolded architecture, a fault-tolerant quantum computing scheme that relies on direct preparation and teleportation of small-angle rotations Z^{1/2^{k}} rather than approximating them with the conventional (Clifford + T) gate set. The architecture is enabled by efficient distillation of gates from an arbitrary level of the Clifford hierarchy, which we refer to as parity unfolding. With it, a state |Z_k\rangle = Z^{1/2^{k}}|{+}\rangle can be prepared fault-tolerantly using 2^{k+3} + O(2^{k/2}) biased-noise qubits on a planar chip with nearest-neighbour connectivity. For algorithms requiring native Z^{1/2^{k}} gates, such as the Quantum Fourier Transform and phase estimation, the proposed scheme allows to reduce resource overheads for up to k=7, i.e., up to T^{1/32}. Furthermore, when used for the synthesis of arbitrary small-angle rotations, parity-unfolded distillation of (T + \sqrt{T}) reduces the minimum achievable logical error rate by 43% while cutting the resource requirements by 26%, when compared to unfolded distillation of only the T gate. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.15436 [quant-ph]   (or arXiv:2604.15436v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.15436 Focus to learn more Submission history From: Konstantin Tiurev [view email] [v1] Thu, 16 Apr 2026 18:00:32 UTC (1,932 KB) Access Paper: 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?)