Dissipation and Long-Range-Entanglement in Mixed Quantum Matter

Quantum simulators harness unitary evolution and measurements, in the presence of decoherence, in order to foster novel quantum correlations. The interplay of these ingredients, even in the absence of active feedback, can give rise to a rich variety of quantum orders in mixed states of quantum matter. Here, we show how decoherence and unitary evolution can produce long-range-entangled mixed-states of quantum many-body systems which are distinguished by their ability to act as a resource for coherently transmitting classical or quantum information. We investigate two particular settings in which these phases arise, in (i) unitary evolution with structured dissipation in long (linear-depth) quantum circuits and (ii) in short-range-entangled quantum states subject to decoherence.