This enables the generation of physical monomials for hybrid networks for linear programming relaxations of inflation.
A simple example where this is useful is that of full-network nonlocality. This PR includes a test where the critical visibility of the EJM distribution is reproduced for a certain parameter $\theta$ of the EJM family.
Given an inflation scenario, with certain number of copies for each source, a combination of events is said to be compatible if there can exist a joint probability distribution for both events. Consider a party $A$ that has access to two sources. Let $A^{ij}$ represent the event of the party using copy $i$ of the first source and copy $j$ of the second source to produce correlations. Then when both sources are unclonable, well defined probabilities $P[A^{ij} A^{i'j'}]$ exist only when $i\neq i'$ and $j\neq j'$. However, if the first source is clonable, then probabilities $P[A^{ij} A^{i'j'}]$ are well defined for all $i, i'$ as long as $j \neq j'$.
In the future this functionality, which now is implemented in InflationProblem, will be used also for InflationSDP.
This enables the generation of physical monomials for hybrid networks for linear programming relaxations of inflation.
A simple example where this is useful is that of full-network nonlocality. This PR includes a test where the critical visibility of the EJM distribution is reproduced for a certain parameter $\theta$ of the EJM family.
Given an inflation scenario, with certain number of copies for each source, a combination of events is said to be compatible if there can exist a joint probability distribution for both events. Consider a party $A$ that has access to two sources. Let $A^{ij}$ represent the event of the party using copy $i$ of the first source and copy $j$ of the second source to produce correlations. Then when both sources are unclonable, well defined probabilities $P[A^{ij} A^{i'j'}]$ exist only when $i\neq i'$ and $j\neq j'$. However, if the first source is clonable, then probabilities $P[A^{ij} A^{i'j'}]$ are well defined for all $i, i'$ as long as $j \neq j'$.
In the future this functionality, which now is implemented in
InflationProblem, will be used also forInflationSDP.