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Quantum Information Science

量子纠错码

Quantum error correction codes

A method for protecting quantum information from errors due to decoherence and other quantum noise. It involves encoding quantum states into larger Hilbert spaces to detect and correct errors without disturbing the encoded quantum information. / 一种保护量子信息免受退相干和其他量子噪声引起的错误的方法。它涉及将量子状态编码到更大的希尔伯特空间中,以检测和纠正错误,而不会干扰编码的量子信息。

Knowledge type
数学理论
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-10-24 16:01:49
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Sub-knowledge points

Stabilizer codesTopological codesQuantum Reed-Solomon codes

Higher-order knowledge points

Quantum computingQuantum cryptographyQuantum metrology

Main parameters and performance indicators

Code distance: Minimum number of physical qubits required to detect or correct a single errorCode rate: Ratio of logical qubits to physical qubitsRing RQ: The algebraic structure over which the codes are defined

Open problems

Optimizing code parameters for fault-tolerant quantum computationDeveloping efficient decoding algorithms for non-commutative rings

Related literature

ranked by community stars
ε-Quantum error correction codes over the ring RQOpen source

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Creation and modification trail

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automated knowledge publish农场主2026-10-24 16:01:51

Record title: Quantum error correction codes.