dorsal/arxiv
View SchemaFive Quantum Register Error Correction Code For Higher Spin Systems
| Authors | H. F. Chau |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9702033 |
| URL | https://arxiv.org/abs/quant-ph/9702033 |
| DOI | 10.1103/PhysRevA.56.R1 |
Abstract
I construct a quantum error correction code (QECC) in higher spin systems using the idea of multiplicative group character. Each $N$ state quantum particle is encoded as five $N$ state quantum registers. By doing so, this code can correct any quantum error arising from any one of the five quantum registers. This code generalizes the well-known five qubit perfect code in spin-1/2 systems and is shown to be optimal for higher spin systems. I also report a simple algorithm for encoding. The importance of multiplicative group character in constructing QECCs will be addressed.
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"abstract": "I construct a quantum error correction code (QECC) in higher spin systems\nusing the idea of multiplicative group character. Each $N$ state quantum\nparticle is encoded as five $N$ state quantum registers. By doing so, this code\ncan correct any quantum error arising from any one of the five quantum\nregisters. This code generalizes the well-known five qubit perfect code in\nspin-1/2 systems and is shown to be optimal for higher spin systems. I also\nreport a simple algorithm for encoding. The importance of multiplicative group\ncharacter in constructing QECCs will be addressed.",
"arxiv_id": "quant-ph/9702033",
"authors": [
"H. F. Chau"
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"quant-ph"
],
"doi": "10.1103/PhysRevA.56.R1",
"title": "Five Quantum Register Error Correction Code For Higher Spin Systems",
"url": "https://arxiv.org/abs/quant-ph/9702033"
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