Multipartite Entanglement Verification: Difference between revisions

'''Input''':  <math>\{y_{i}\}_{i=1}^{n}</math>, 1 qubit, v  

'''Output''':  one Bit in <math>\{0,1\}</math> and <math>\{\theta_i\}_{i=1}^{n}</math>

* Chose randomly angles <math>\Theta=\{\theta_{i}\}_{i=1}^{n}</math> with <math>\theta_{i}\in[0,\pi)</math> such that <math>\sum_{j} \theta_{j}</math> is a multiple of <math>\pi</math>

* Upon the reception of the qubit, for <math>i=1,...n, i \neq v</math> send  <math>\theta_{i}</math> it to party <math>i</math> via a private classical channel resource, keep <math>\theta_{v}</math>.

* Measures the qubit in the <math>\{|+_{\theta_{v}}\rangle,|-_{\theta_{v}}\rangle\}</math> basis and get <math>y_{v}</math>

* Wait for the reception of all the other <math>y_{i}</math>.

* Upon the reception of all the <math>y_{i}</math>, broadcast 0 if and only if  

<math>

'''Protocol for the <math>i</math>th party <math>\pi_{i}^\theta</math> : '''

'''Input:'''  1 angle <math>\theta_{i}</math>, 1 qubit and v

'''Output:''' Bit <math>y_{i}</math>

* Wait for the reception of both classical and quantum inputs

* Measures in the Measures the qubit in the <math>\{|+_{\theta_{i}}\rangle,|-_{\theta_{i}}\rangle\}</math>  basis  

* Send the outcome <math>y_{i}</math> to the Verifier via the private classical channel resource .

<li style="display: inline-block;"> [[File:ConcreteResourceThetaMEV.jpg|frame|300px|1(a)Figure for the MEV protocol]]</li>