dorsal/arxiv
View SchemaOne-party Quantum Error Correcting Codes for Unbalanced Errors: Principles and Application to Quantum Dense Coding and Quantum Secure Direct Communications
| Authors | Kai Wen, Gui Lu Long |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609207 |
| URL | https://arxiv.org/abs/quant-ph/0609207 |
Abstract
In this article, we present the unbalanced quantum error correcting codes(one-party-QECC), a novel idea for correcting unbalanced quantum errors. In some quantum communication tasks using entangled pairs, the error distributions between two parts of the pairs are unbalanced, and. one party holds the whole entangled pairs at the final stage, and he or she is able to perform joint measurements on the pairs. In this situation the proposed one-party-QECC can improve error correction by allowing a higher tolerated error rate. We have established the general correspondence between linear classical codes and the one-party-QECC, and we have given the general definition for this type quantum error correcting codes.It has been shown that the one-party-QECC can correct errors as long as the error threshold is not larger than 0.5. The one-party-QECC works even for fidelity less than 0.5 as long as it is larger than 0.25. We give several concrete examples of the one-party-QECC. We provide the applications of one-party-QECC in quantum dense coding so that it can function in noisy channels. As a result, a large number of quantum secure direct communication protocols based on dense coding is also able to be protected by this new type of one-party-QECC.
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"abstract": "In this article, we present the unbalanced quantum error correcting\ncodes(one-party-QECC), a novel idea for correcting unbalanced quantum errors.\nIn some quantum communication tasks using entangled pairs, the error\ndistributions between two parts of the pairs are unbalanced, and. one party\nholds the whole entangled pairs at the final stage, and he or she is able to\nperform joint measurements on the pairs. In this situation the proposed\none-party-QECC can improve error correction by allowing a higher tolerated\nerror rate. We have established the general correspondence between linear\nclassical codes and the one-party-QECC, and we have given the general\ndefinition for this type quantum error correcting codes.It has been shown that\nthe one-party-QECC can correct errors as long as the error threshold is not\nlarger than 0.5. The one-party-QECC works even for fidelity less than 0.5 as\nlong as it is larger than 0.25. We give several concrete examples of the\none-party-QECC. We provide the applications of one-party-QECC in quantum dense\ncoding so that it can function in noisy channels. As a result, a large number\nof quantum secure direct communication protocols based on dense coding is also\nable to be protected by this new type of one-party-QECC.",
"arxiv_id": "quant-ph/0609207",
"authors": [
"Kai Wen",
"Gui Lu Long"
],
"categories": [
"quant-ph"
],
"title": "One-party Quantum Error Correcting Codes for Unbalanced Errors: Principles and Application to Quantum Dense Coding and Quantum Secure Direct Communications",
"url": "https://arxiv.org/abs/quant-ph/0609207"
},
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