Postselection-Free Entanglement Dynamics via Spacetime Duality

The dynamics of entanglement in `hybrid' non-unitary circuits (for example, involving both unitary gates and quantum measurements) has recently become an object intense study. A major hurdle toward experimentally realizing this physics is the need to apply \emph{postselection} on random measurement outcomes order repeatedly prepare a given output state, resulting exponential overhead. We propose method sidestep issue wide class by taking advantage \emph{spacetime duality}. This maps purification mixed state under evolution onto particular correlation function associated circuit. translates operational protocol which could be straightforwardly implemented digital simulator. discuss signatures different phases, demonstrate examples via numerical simulations. With minor modifications, proposed allows purity arbitrary subsystems, shed light properties error correcting code formed phase hybrid dynamics.