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members:atulsingharora [2019/12/04 11:50] atulsingharora [Publications/preprints] |
members:atulsingharora [2019/12/04 11:50] atulsingharora [Research] |
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| //End of 2017.// Found protocols with ε tending to 1/10. The technique we used was insufficient was for going beyond this limit.\\ | //End of 2017.// Found protocols with ε tending to 1/10. The technique we used was insufficient was for going beyond this limit.\\ | ||
| //End of 2018.// Constructed a numerical algorithm which can provably find a numerical description of any protocol from its point game description. Effectively, this allows one to construct explicit (although numerical) protocols with arbitrarily small biases (in the absence of noise). \\ | //End of 2018.// Constructed a numerical algorithm which can provably find a numerical description of any protocol from its point game description. Effectively, this allows one to construct explicit (although numerical) protocols with arbitrarily small biases (in the absence of noise). \\ | ||
| - | //End of 2019.// We are now trying to find the analytic expressions for the unitaries corresponding to Mochon's constructions which yield arbitrarily small bias. This will hopefully result in the complete description of an explicit weak coin flipping protocol with ε tending to zero. \\ | + | //End of 2019.// Found analytic expressions for the unitaries corresponding to Mochon's constructions which yield arbitrarily small bias. \\ |
| I hope to be able to switch gears soon and study communication/query complexity. | I hope to be able to switch gears soon and study communication/query complexity. | ||