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arXiv · 2609.03583

Optimizing Atom Transport, Gate-Count and Depth with Parity Twine

Javad Kazemi·Michael Fellner·Riccardo J. Valencia-Tortora·Michael Schuler·Wolfgang Lechner
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Abstract

We present an efficient implementation of the Parity Architecture for neutral-atom quantum processors. We adapt Parity Twine Networks (PTNs) to different atom layouts, native entangling gates, and atom-shuttling capabilities. This provides a general framework for hardware-aware optimization of gate count, circuit depth, and atom transport for quantum circuits encoding arbitrary interaction graphs in a common basis. Specifically, we develop PTN constructions based on different native entangling-gate realizations, namely CZ, CZSWAP, and iSWAP, providing flexibility to accommodate different hardware capabilities on both static and mobile neutral-atom platforms. Using the quantum Fourier transform (QFT) as a representative example, we demonstrate substantial reductions in two-qubit gate count, atom transport, and circuit depth. These resource savings translate into an estimated circuit fidelity three orders of magnitude higher than competing compilation strategies for a 30-qubit QFT. We further extend the construction to the recently introduced optimistic QFT and discuss the broader applicability of PTNs to other quantum algorithms on neutral-atom platforms.

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Javad Kazemi, Michael Fellner, Riccardo J. Valencia-Tortora, Michael Schuler, Wolfgang Lechner. 2026-09-03. Optimizing Atom Transport, Gate-Count and Depth with Parity Twine. https://arxiv.org/abs/2609.03583

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