Perfect Quantum Error Correction Code

Raymond Laflamme, Cesar Miquel, Juan Pablo Paz, Wojciech H. Zurek · 1996 · Phys. Rev. Lett. 77, 198

| 编号 QE008 | 主题 基础理论 | 链接 arXiv:quant-ph/9602019 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

We present a quantum error correction code which protects a qubit of information against general one qubit errors which maybe caused by the interaction with the environment. To accomplish this, we encode the original state by distributing quantum information over five qubits, the minimal number required for this task. We give a simple circuit which takes the initial state with four extra qubits in the state |0> to the encoded state. The circuit can be converted into a decoding one by simply running it backward. Reading the extra four qubits at the decoder’s output we learn which one of the sixteen alternatives (no error plus all fifteen possible 1-bit errors) was realized. The original state of the encoded qubit can then be restored by a simple unitary transformation.

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