dorsal/arxiv
View SchemaCorrecting Quantum Errors In Higher Spin Systems
| Authors | H. F. Chau |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610023 |
| URL | https://arxiv.org/abs/quant-ph/9610023 |
| DOI | 10.1103/PhysRevA.55.R839 |
Abstract
I consider the theory of quantum error correcting code (QECC) where each quantum particle has more than two possible eigenstates. In this higher spin system, I report an explicit QECC that is related to the symmetry group ${\Bbb Z}_2^{\otimes (N-1)} \otimes S_N$. This QECC, which generalizes Shor's simple majority vote code, is able to correct errors arising from exactly one quantum particle. I also provide a simple encoding algorithm.
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"abstract": "I consider the theory of quantum error correcting code (QECC) where each\nquantum particle has more than two possible eigenstates. In this higher spin\nsystem, I report an explicit QECC that is related to the symmetry group ${\\Bbb\nZ}_2^{\\otimes (N-1)} \\otimes S_N$. This QECC, which generalizes Shor\u0027s simple\nmajority vote code, is able to correct errors arising from exactly one quantum\nparticle. I also provide a simple encoding algorithm.",
"arxiv_id": "quant-ph/9610023",
"authors": [
"H. F. Chau"
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"doi": "10.1103/PhysRevA.55.R839",
"title": "Correcting Quantum Errors In Higher Spin Systems",
"url": "https://arxiv.org/abs/quant-ph/9610023"
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