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holographic_steane + holographic_5_1_2
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####################################################### | ||
## This is a code entry in the error correction zoo. ## | ||
## https://github.com/errorcorrectionzoo ## | ||
####################################################### | ||
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code_id: stab_5_1_2 | ||
physical: qubits | ||
logical: qubits | ||
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name: '\([[5,1,2]]\) rotated surface code' | ||
introduced: '\cite[Ex. 5]{arxiv:1202.0928}' | ||
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description: | | ||
Rotated surface code on one rung of a ladder, with one qubit on the rung, and four qubits surrounding it. | ||
Admits generators \(\{ZZZII,IIZZZ,XIXXI,IXXIX\} \). | ||
features: | ||
general_gates: | ||
- 'Fault-tolerant implementation of the Clifford group based on transversal gates and SWAPs \cite{arxiv:2112.01446}.' | ||
fault_tolerance: | ||
- 'Fault-tolerant implementation of the Clifford group based on transversal gates and SWAPs \cite{arxiv:2112.01446}.' | ||
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relations: | ||
parents: | ||
- code_id: rotated_surface | ||
- code_id: holographic_5_1_2 | ||
detail: 'The \([[5,1,2]]\) rotated surface code is the smallest \([[5,1,2]]\)-pentagon holographic code. | ||
The encoding of more general \([[5,1,2]]\)-pentagon holographic codes is a holographic tensor network consisting of encoding isometries for the \([[5,1,2]]\) rotated surface code, which are block-perfect tensors.' | ||
- code_id: block_perfect | ||
detail: 'The \([[5,1,2]]\) rotated surface code is the smallest \([[5,1,2]]\)-pentagon holographic code. | ||
The encoding of more general \([[5,1,2]]\)-pentagon holographic codes is a holographic tensor network consisting of encoding isometries for the \([[5,1,2]]\) rotated surface code, which are block-perfect tensors.' | ||
- code_id: small_distance_quantum | ||
cousins: | ||
- code_id: steane | ||
detail: 'The \([[5,1,2]]\) rotated surface code can be obtained by morphing the Steane code \cite{arxiv:2112.01446}.' | ||
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# Begin Entry Meta Information | ||
_meta: | ||
# Change log - most recent first | ||
changelog: | ||
- user_id: VictorVAlbert | ||
date: '2024-07-01' |
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codes/quantum/qubits/stabilizer/holographic/holographic_5_1_2.yml
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####################################################### | ||
## This is a code entry in the error correction zoo. ## | ||
## https://github.com/errorcorrectionzoo ## | ||
####################################################### | ||
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code_id: holographic_5_1_2 | ||
physical: qubits | ||
logical: qubits | ||
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name: 'Surface-code-fragment (SCF) holographic code' | ||
short_name: 'SCF holographic code' | ||
introduced: '\cite{arxiv:2008.10206}' | ||
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description: | | ||
Holographic tensor-network code constructed out of a network of encoding isometries of the \([[5,1,2]]\) rotated surface code. | ||
relations: | ||
parents: | ||
- code_id: holographic_tensor | ||
detail: 'The encoding of the heptagon holographic code is a holographic tensor network consisting of encoding isometries for the \([[5,1,2]]\) rotated surface code, which are block-perfect tensors.' | ||
cousins: | ||
- code_id: block_perfect | ||
detail: 'The encoding of the heptagon holographic code is a holographic tensor network consisting of encoding isometries for the \([[5,1,2]]\) rotated surface code, which are block-perfect tensors.' | ||
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# Begin Entry Meta Information | ||
_meta: | ||
# Change log - most recent first | ||
changelog: | ||
- user_id: VictorVAlbert | ||
date: '2024-07-01' |
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