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Applications of semidefinite program...
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Sikora, Jamie W. J.
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Applications of semidefinite programming in quantum cryptography.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Applications of semidefinite programming in quantum cryptography./
作者:
Sikora, Jamie W. J.
面頁冊數:
117 p.
附註:
Source: Masters Abstracts International, Volume: 46-03, page: 1543.
Contained By:
Masters Abstracts International46-03.
標題:
Mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR34394
ISBN:
9780494343944
Applications of semidefinite programming in quantum cryptography.
Sikora, Jamie W. J.
Applications of semidefinite programming in quantum cryptography.
- 117 p.
Source: Masters Abstracts International, Volume: 46-03, page: 1543.
Thesis (M.Math.)--University of Waterloo (Canada), 2007.
Furthermore, we present a family of protocols where one party has a greater probability of forcing an outcome of 0 than an outcome of 1. We also discuss a computer search to find specific protocols which minimize the maximum cheating probability.
ISBN: 9780494343944Subjects--Topical Terms:
515831
Mathematics.
Applications of semidefinite programming in quantum cryptography.
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Furthermore, we present a family of protocols where one party has a greater probability of forcing an outcome of 0 than an outcome of 1. We also discuss a computer search to find specific protocols which minimize the maximum cheating probability.
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Coin-flipping is the cryptographic task of generating a random coin-flip between two mistrustful parties. Kitaev [19] discovered that the security of quantum coin-flipping protocols can be analyzed using semidefinite programming. This led to his result that one party can force a desired coin-flip outcome with probability at least 1/ 2 .
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We give sufficient background in quantum computing and semidefinite programming to understand Kitaev's semidefinite programming formulation for coin-flipping cheating strategies. These ideas are specialized to a specific class of protocols singled out by Nayak and Shor [29]. We also use semidefinite programming to solve for the maximum cheating probability of a particular protocol which has the best known security.
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