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arXiv · 2607.08840

Fermion-mediated Casimir effect on mesoscopic rings implementing non-Clifford SWAP$^{\alpha}$ gates

Liang Du·Qing-Dong Jiang·Yijia Wu
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Abstract

The Casimir effect is typically governed by intrinsic material properties and lacks in situ tunability. We show that, in mesoscopic rings, both the magnitude and sign of the fermion-mediated Casimir interaction can be controlled via the Aharonov-Bohm effect. The resulting interplay between the Aharonov-Bohm phase and the Casimir interaction provides a route to engineer long-range interactions. In particular, this mechanism enables the implementation of non-Clifford SWAP$^{\alpha}$ gates between spatially separated spin qubits, thereby reducing the overhead for universal quantum computation and quantum error correction in spin-qubit architectures.

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Liang Du, Qing-Dong Jiang, Yijia Wu. 2026-07-09. Fermion-mediated Casimir effect on mesoscopic rings implementing non-Clifford SWAP$^{\alpha}$ gates. https://arxiv.org/abs/2607.08840

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