GHZ-based Quantum Anonymous Transmission: Difference between revisions

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GHZ-based Quantum Anonymous Transmission (edit)

Revision as of 18:38, 19 April 2019

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==Notations Used==
==Notations Used==
**<math>n:</math> number of nodes
* <math>N</math> number of network nodes taking part in the anonymous transmission.
**<math>t:</math> number of failures
* <math>|\psi\rangle</math> quantum message which the sender wants to send anonymously
**<math>p:</math> fairness of the Oblivious Common Coin
* <math>S</math> the sender of the quantum message
**<math>k:</math> security parameter of the VQSS scheme used to implement the Oblivious Common Coin
* <math>R</math> the receiver of the quantum message
**<math>b_i:</math> input bit of player <math>i</math>
**<math>d:</math> the agreement value at the end of the protocol
 
===Relevant Parameters===
The number of players <math>n</math> and the number of failures <math>t</math> are previously introduced parameters of the agreement protocol. The Quantum Oblivious Common Coin protocol has a single parameter <math>k</math> (used in Verified Quantum Secret Sharing scheme), but it is unclear from the works [[Quantum Byzantine Agreement#References|(1), (3)]] how this influences the guarantees of the protocol. Also note that the fairness <math>p</math> of the Quantum Oblivious Common Coin is not a parameter, but rather a result of the specific implementation of the protocol. The global Byzantine Agreement protocol can then tolerate up to <math>t < \left \lfloor{pn}\right \rfloor </math>. The Quantum Oblivious Common Coin subroutine proposed by [[Quantum Byzantine Agreement#References|(3)]] has <math>p > \frac{1}{3}</math> (synchronous case, <math>p > \frac{1}{4}</math> asynchronous case).


==Hardware Requirements==
==Hardware Requirements==
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