Applications of Semidefinite Programming in Quantum Cryptography
| dc.contributor.author | Sikora, Jamie William Jonathon | |
| dc.date.accessioned | 2007-05-18T18:22:59Z | |
| dc.date.available | 2007-05-18T18:22:59Z | |
| dc.date.issued | 2007-05-18T18:22:59Z | |
| dc.date.submitted | 2007 | |
| dc.description.abstract | Coin-flipping is the cryptographic task of generating a random coin-flip between two mistrustful parties. Kitaev discovered that the security of quantum coin-flipping protocols can be analyzed using semidefinite programming. This lead to his result that one party can force a desired coin-flip outcome with probability at least 1/√2. 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. We also use semidefinite programming to solve for the maximum cheating probability of a particular protocol which has the best known security. 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. | en |
| dc.format.extent | 659000 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/10012/3056 | |
| dc.language.iso | en | en |
| dc.pending | false | en |
| dc.publisher | University of Waterloo | en |
| dc.subject | Optimization | en |
| dc.subject | Quantum | en |
| dc.subject.program | Combinatorics and Optimization | en |
| dc.title | Applications of Semidefinite Programming in Quantum Cryptography | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Mathematics | en |
| uws-etd.degree.department | Combinatorics and Optimization | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |