Entanglement entropy of disjoint spacetime intervals in causal set theory

A more complete understanding of entanglement entropy in a covariant manner could inform the search for quantum gravity. We build on work this direction by extending previous results to disjoint regions $1+1$D. investigate scalar field intervals within causal set framework, using spacetime commutator and correlator, $i\mathbf{\Delta}$ $\mathbf{W}$ (or Pauli-Jordan Wightman functions), respectively. new truncation scheme diamonds is presented, which follows from single diamond scheme. setups including two three diamonds, as well that shares boundary with larger global diamond. In all cases we study, our agree expected area laws. addition, study mutual information setup. The ease calculations indicate methods be useful tool numerically studying such systems. end discussion some strengths future applications formulation use computations, both theory continuum.