dorsal/arxiv
View SchemaUnconditionally Secure Key Distribution In Higher Dimensions By Depolarization
| Authors | H. F. Chau |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405016 |
| URL | https://arxiv.org/abs/quant-ph/0405016 |
| DOI | 10.1109/TIT.2005.844076 |
Abstract
This paper presents a prepare-and-measure scheme using $N$-dimensional quantum particles as information carriers where $N$ is a prime power. One of the key ingredients used to resist eavesdropping in this scheme is to depolarize all Pauli errors introduced to the quantum information carriers. Using the Shor-Preskill-type argument, we prove that this scheme is unconditionally secure against all attacks allowed by the laws of quantum physics. For $N = 2^n > 2$, each information carrier can be replaced by $n$ entangled qubits. In this case, there is a family of eavesdropping attacks on which no unentangled-qubit-based prepare-and-measure quantum key distribution scheme known to date can generate a provably secure key. In contrast, under the same family of attacks, our entangled-qubit-based scheme remains secure whenever $2^n \geq 4$. This demonstrates the advantage of using entangled particles as information carriers and of using depolarization of Pauli errors to combat eavesdropping attacks more drastic than those that can be handled by unentangled-qubit-based prepare-and-measure schemes.
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"abstract": "This paper presents a prepare-and-measure scheme using $N$-dimensional\nquantum particles as information carriers where $N$ is a prime power. One of\nthe key ingredients used to resist eavesdropping in this scheme is to\ndepolarize all Pauli errors introduced to the quantum information carriers.\nUsing the Shor-Preskill-type argument, we prove that this scheme is\nunconditionally secure against all attacks allowed by the laws of quantum\nphysics. For $N = 2^n \u003e 2$, each information carrier can be replaced by $n$\nentangled qubits. In this case, there is a family of eavesdropping attacks on\nwhich no unentangled-qubit-based prepare-and-measure quantum key distribution\nscheme known to date can generate a provably secure key. In contrast, under the\nsame family of attacks, our entangled-qubit-based scheme remains secure\nwhenever $2^n \\geq 4$. This demonstrates the advantage of using entangled\nparticles as information carriers and of using depolarization of Pauli errors\nto combat eavesdropping attacks more drastic than those that can be handled by\nunentangled-qubit-based prepare-and-measure schemes.",
"arxiv_id": "quant-ph/0405016",
"authors": [
"H. F. Chau"
],
"categories": [
"quant-ph"
],
"doi": "10.1109/TIT.2005.844076",
"title": "Unconditionally Secure Key Distribution In Higher Dimensions By Depolarization",
"url": "https://arxiv.org/abs/quant-ph/0405016"
},
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