dorsal/arxiv
View SchemaLess eavesdropping losses induce more eavesdropping information gain
| Authors | Zhanjun Zhang, Zhongxiao Man, Yong Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406155 |
| URL | https://arxiv.org/abs/quant-ph/0406155 |
Abstract
The eavesdropping scheme proposed by W\'{o}jcik [Phys. Rev. Lett. {\bf 90},157901(2003)] on the quantum communication protocol of Bostr\"{o}m and Felbinger [Phys. Rev. Lett. {\bf 89}, 187902(2002)] is improved by constituting a new set of attack operations. The improved scheme only induces half of the eavesdropping losses in W\'{o}jcik's scheme, therefore, in a larger domain of the quantum channel transmission efficiency $\eta$, i.e., [0,75%], the eavesdropper Eve can attack all the transmitted bits. Comparing to W\'{o}jcik's scheme, in the improved scheme the eavesdropping (legitimate) information gain does not vary in the $\eta$ domain of [0, 50%], while in the $\eta$ domain of (50%, 75%] the less eavesdropping losses induce more eavesdropping information gains, for Eve can attack {\it all} the transmitted bits and accordingly eavesdropping information gains do {\it not} decrease. Moreover, for the Bostr\"{o}m-Felbinger protocol, the insecurity upper bound of $\eta$ presented by W\'{o}jcik is pushed up in the this paper, that is, according to W\'{o}jcik's eavesdropping scheme, the Bostr\"{o}m-Felbinger protocol is not secure for transmission efficiencies lower than almost 60%, while according to the improved scheme, it is not secure for transmission efficiencies lower than almost 80%.
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"abstract": "The eavesdropping scheme proposed by W\\\u0027{o}jcik [Phys. Rev. Lett. {\\bf\n90},157901(2003)] on the quantum communication protocol of Bostr\\\"{o}m and\nFelbinger [Phys. Rev. Lett. {\\bf 89}, 187902(2002)] is improved by constituting\na new set of attack operations. The improved scheme only induces half of the\neavesdropping losses in W\\\u0027{o}jcik\u0027s scheme, therefore, in a larger domain of\nthe quantum channel transmission efficiency $\\eta$, i.e., [0,75%], the\neavesdropper Eve can attack all the transmitted bits. Comparing to W\\\u0027{o}jcik\u0027s\nscheme, in the improved scheme the eavesdropping (legitimate) information gain\ndoes not vary in the $\\eta$ domain of [0, 50%], while in the $\\eta$ domain of\n(50%, 75%] the less eavesdropping losses induce more eavesdropping information\ngains, for Eve can attack {\\it all} the transmitted bits and accordingly\neavesdropping information gains do {\\it not} decrease. Moreover, for the\nBostr\\\"{o}m-Felbinger protocol, the insecurity upper bound of $\\eta$ presented\nby W\\\u0027{o}jcik is pushed up in the this paper, that is, according to\nW\\\u0027{o}jcik\u0027s eavesdropping scheme, the Bostr\\\"{o}m-Felbinger protocol is not\nsecure for transmission efficiencies lower than almost 60%, while according to\nthe improved scheme, it is not secure for transmission efficiencies lower than\nalmost 80%.",
"arxiv_id": "quant-ph/0406155",
"authors": [
"Zhanjun Zhang",
"Zhongxiao Man",
"Yong Li"
],
"categories": [
"quant-ph"
],
"title": "Less eavesdropping losses induce more eavesdropping information gain",
"url": "https://arxiv.org/abs/quant-ph/0406155"
},
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