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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2503.03578 |
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| _version_ | 1866929742893023232 |
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| author | Samuels, William Boone |
| author_facet | Samuels, William Boone |
| contents | Achieving scalable, fault-tolerant quantum computation requires quantum memory architectures that minimize error correction overhead while preserving coherence. This work presents a framework for high-dimensional qudit memory in 153Eu:Y2SiO5, integrating three core mechanisms: (i) non-destructive syndrome extraction, using spin-echo sequences to encode error syndromes without direct measurement; (ii) adaptive quantum Fourier transform (QFT) for error identification, leveraging frequency-space transformations to reduce gate complexity; and (iii) coset-based fault-tolerant correction, factorizing large stabilizer-like unitaries into modular operations to confine error propagation. By combining generalized stabilizer formalism, Weyl-Heisenberg operators, and finite-group coset decompositions, we develop a qudit error correction scheme optimized for solid-state quantum memory. This approach circumvents resource-intensive multi-qubit concatenation, enabling scalable, long-lived quantum storage with efficient state retrieval and computational redundancy. These results provide a pathway toward practical fault-tolerant architectures for rare-earth-ion-doped quantum memories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03578 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fault-Tolerant Qudit Gate Optimization in Solid-State Quantum Memory Samuels, William Boone Quantum Physics 81P70 Achieving scalable, fault-tolerant quantum computation requires quantum memory architectures that minimize error correction overhead while preserving coherence. This work presents a framework for high-dimensional qudit memory in 153Eu:Y2SiO5, integrating three core mechanisms: (i) non-destructive syndrome extraction, using spin-echo sequences to encode error syndromes without direct measurement; (ii) adaptive quantum Fourier transform (QFT) for error identification, leveraging frequency-space transformations to reduce gate complexity; and (iii) coset-based fault-tolerant correction, factorizing large stabilizer-like unitaries into modular operations to confine error propagation. By combining generalized stabilizer formalism, Weyl-Heisenberg operators, and finite-group coset decompositions, we develop a qudit error correction scheme optimized for solid-state quantum memory. This approach circumvents resource-intensive multi-qubit concatenation, enabling scalable, long-lived quantum storage with efficient state retrieval and computational redundancy. These results provide a pathway toward practical fault-tolerant architectures for rare-earth-ion-doped quantum memories. |
| title | Fault-Tolerant Qudit Gate Optimization in Solid-State Quantum Memory |
| topic | Quantum Physics 81P70 |
| url | https://arxiv.org/abs/2503.03578 |