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Multipartite Entanglement Verification
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==Pseudo Code== '''Protocol for the verifier <math>\pi_{V}</math> : ''' :'''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> \oplus_{j} Y_{j}=\frac{1}{\pi} \sum_{j} \theta_{j} \quad(\bmod 2) </math> And for each <math>i=1,...n, i \neq v</math> '''Protocol for the <math>i</math>th party <math>\pi_{i}</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 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:ConcreteResourceAC2.jpg|frame|400px|Abstract Cryptography figure for the MEV protocol for n=3 parties. Each blue box is a converter representing a protocol a party is following and red boxes are the resources used namely: state generation resource, quantum and authenticated classical channels.]]</li>
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