A Conceptual Technology-Dependent Framework of Ternary Quantum Gates
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915967028690944 |
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| author | Al-Bayaty, Ali |
| author_facet | Al-Bayaty, Ali |
| contents | This paper introduces a conceptual framework of technology-dependent ternary quantum gates that could be implemented and fabricated into future superconducting and photonic quantum systems for operating 3-valued quantum bits (qutrits). The "technology-dependent" means that such ternary quantum gates are on-purpose designed analogy to the contemporary binary quantum gates. Conceptually, the final built technology-dependent one-, two-, and three-qutrit gates are Chrestenson, Z3, 01, 02, 12, +1, +2 (including their corresponding inverse and controlled gates), a non-phase relative SWAP gate, and a cost-effective Toffoli gate, which is a generic ternary Galois Field (GF3) multiplication and addition circuit. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_23242 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Conceptual Technology-Dependent Framework of Ternary Quantum Gates Al-Bayaty, Ali Quantum Physics This paper introduces a conceptual framework of technology-dependent ternary quantum gates that could be implemented and fabricated into future superconducting and photonic quantum systems for operating 3-valued quantum bits (qutrits). The "technology-dependent" means that such ternary quantum gates are on-purpose designed analogy to the contemporary binary quantum gates. Conceptually, the final built technology-dependent one-, two-, and three-qutrit gates are Chrestenson, Z3, 01, 02, 12, +1, +2 (including their corresponding inverse and controlled gates), a non-phase relative SWAP gate, and a cost-effective Toffoli gate, which is a generic ternary Galois Field (GF3) multiplication and addition circuit. |
| title | A Conceptual Technology-Dependent Framework of Ternary Quantum Gates |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.23242 |