dorsal/arxiv
View SchemaOptimal quantum codes for preventing collective amplitude damping
| Authors | Lu-Ming Duan, Guang-Can Guo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804014 |
| URL | https://arxiv.org/abs/quant-ph/9804014 |
| DOI | 10.1103/PhysRevA.58.3491 |
Abstract
Collective decoherence is possible if the departure between quantum bits is smaller than the effective wave length of the noise field. Collectivity in the decoherence helps us to devise more efficient quantum codes. We present a class of optimal quantum codes for preventing collective amplitude damping to a reservoir at zero temperature. It is shown that two qubits are enough to protect one bit quantum information, and approximately $L+ 1/2 \log_2((\pi L)/2)$ qubits are enough to protect $L$ qubit information when $L$ is large. For preventing collective amplitude damping, these codes are much more efficient than the previously-discovered quantum error correcting or avoiding codes.
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"abstract": "Collective decoherence is possible if the departure between quantum bits is\nsmaller than the effective wave length of the noise field. Collectivity in the\ndecoherence helps us to devise more efficient quantum codes. We present a class\nof optimal quantum codes for preventing collective amplitude damping to a\nreservoir at zero temperature. It is shown that two qubits are enough to\nprotect one bit quantum information, and approximately $L+ 1/2 \\log_2((\\pi\nL)/2)$ qubits are enough to protect $L$ qubit information when $L$ is large.\nFor preventing collective amplitude damping, these codes are much more\nefficient than the previously-discovered quantum error correcting or avoiding\ncodes.",
"arxiv_id": "quant-ph/9804014",
"authors": [
"Lu-Ming Duan",
"Guang-Can Guo"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.58.3491",
"title": "Optimal quantum codes for preventing collective amplitude damping",
"url": "https://arxiv.org/abs/quant-ph/9804014"
},
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