Fault-tolerant qubit encoding using a spin-7/2 qudit
The implementation of error correction protocols is a central challenge in the development of practical quantum information technologies. Recently, multi-level quantum resources such as harmonic oscillators and qudits have attracted interest in this context because they offer the possibility of addi...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2023
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| _version_ | 1797111734492725248 |
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| author | Lim, S Liu, J Ardavan, A |
| author_facet | Lim, S Liu, J Ardavan, A |
| author_sort | Lim, S |
| collection | OXFORD |
| description | The implementation of error correction protocols is a central challenge in the development of
practical quantum information technologies. Recently, multi-level quantum resources such as harmonic oscillators and qudits have attracted interest in this context because they offer the possibility
of additional Hilbert space dimensions in a spatially compact way. Here we propose a quantum
memory, implemented on a spin-7/2 nucleus hyperfine-coupled to an electron spin-1/2 qubit, which
provides first order X, Y and Z error correction using significantly fewer quantum resources than
the equivalently effective qubit-based protocols. Our encoding may be efficiently implemented in
existing experimentally realised molecular electron-nuclear quantum spin systems. The strategy
can be extended to higher-order error protection on higher-spin nuclei. |
| first_indexed | 2024-03-07T08:13:02Z |
| format | Journal article |
| id | oxford-uuid:b15cd73d-1915-4fc6-af7c-1788e230c3f4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:13:02Z |
| publishDate | 2023 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:b15cd73d-1915-4fc6-af7c-1788e230c3f42023-12-08T09:04:42ZFault-tolerant qubit encoding using a spin-7/2 quditJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b15cd73d-1915-4fc6-af7c-1788e230c3f4EnglishSymplectic ElementsAmerican Physical Society2023Lim, SLiu, JArdavan, AThe implementation of error correction protocols is a central challenge in the development of practical quantum information technologies. Recently, multi-level quantum resources such as harmonic oscillators and qudits have attracted interest in this context because they offer the possibility of additional Hilbert space dimensions in a spatially compact way. Here we propose a quantum memory, implemented on a spin-7/2 nucleus hyperfine-coupled to an electron spin-1/2 qubit, which provides first order X, Y and Z error correction using significantly fewer quantum resources than the equivalently effective qubit-based protocols. Our encoding may be efficiently implemented in existing experimentally realised molecular electron-nuclear quantum spin systems. The strategy can be extended to higher-order error protection on higher-spin nuclei. |
| spellingShingle | Lim, S Liu, J Ardavan, A Fault-tolerant qubit encoding using a spin-7/2 qudit |
| title | Fault-tolerant qubit encoding using a spin-7/2 qudit |
| title_full | Fault-tolerant qubit encoding using a spin-7/2 qudit |
| title_fullStr | Fault-tolerant qubit encoding using a spin-7/2 qudit |
| title_full_unstemmed | Fault-tolerant qubit encoding using a spin-7/2 qudit |
| title_short | Fault-tolerant qubit encoding using a spin-7/2 qudit |
| title_sort | fault tolerant qubit encoding using a spin 7 2 qudit |
| work_keys_str_mv | AT lims faulttolerantqubitencodingusingaspin72qudit AT liuj faulttolerantqubitencodingusingaspin72qudit AT ardavana faulttolerantqubitencodingusingaspin72qudit |