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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.23464 |
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| _version_ | 1866911181822754816 |
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| author | Aragón-Muñoz, L. Chryssomalakos, C. Flores-Delgado, A. G. Rascón-Barajas, V. Mota, I. Vázquez |
| author_facet | Aragón-Muñoz, L. Chryssomalakos, C. Flores-Delgado, A. G. Rascón-Barajas, V. Mota, I. Vázquez |
| contents | Toponomic quantum computing (TQC) employs rotation sequences of anticoherent $k$-planes to construct noise-tolerant quantum gates. In this work, we demonstrate the implementation of generalized Toffoli gates, using $k$-planes of spin systems with $s \geq k + 1$, and of the Hadamard gate for a 3-qubit system, using a spin $s \!= \! 15$ 8-plane. We propose a universal quantum computing scheme for 3-qubit systems (via Hadamard + Toffoli gates) based on coding techniques. A key advantage of this construction is its inherent robustness against noise: apart from reparametrization invariance, our scheme is characterized by immunity to arbitrarily large deformations of the path in (rotational) parameter space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23464 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anticoherent $k$-planes and coding techniques for a 3-qubit scheme of universal quantum computing Aragón-Muñoz, L. Chryssomalakos, C. Flores-Delgado, A. G. Rascón-Barajas, V. Mota, I. Vázquez Quantum Physics Mathematical Physics Toponomic quantum computing (TQC) employs rotation sequences of anticoherent $k$-planes to construct noise-tolerant quantum gates. In this work, we demonstrate the implementation of generalized Toffoli gates, using $k$-planes of spin systems with $s \geq k + 1$, and of the Hadamard gate for a 3-qubit system, using a spin $s \!= \! 15$ 8-plane. We propose a universal quantum computing scheme for 3-qubit systems (via Hadamard + Toffoli gates) based on coding techniques. A key advantage of this construction is its inherent robustness against noise: apart from reparametrization invariance, our scheme is characterized by immunity to arbitrarily large deformations of the path in (rotational) parameter space. |
| title | Anticoherent $k$-planes and coding techniques for a 3-qubit scheme of universal quantum computing |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2509.23464 |