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Abstract
Open quantum systems which are subjected to both coherent driving and dissipation generically have nontrivial quantum steady states. Understanding how specific quantum states can be stabilized by engineering the dissipative environment is an inherently interesting line of inquiry; moreover, engineered dissipation finds applications to quantum information processing as a resource for stabilizing and protecting quantum states. We first present a generalized notion quantum detailed balance and time-reversal symmetry (TRS), called hidden time-reversal symmetry, and we show that hidden TRS directly enables and generalizes the coherent quantum absorber (CQA) technique for finding exact steady state solutions of driven-dissipative quantum systems We present the exact steady state solutions of two classes of many-body models: boundary driven-dissipative spin chains and dissipative superconductors with a global charging energy interaction. We then turn to applications of engineered dissipation. We use the CQA solution of the spin chains to propose a resource-efficient protocol to dissipatively stabilize highly entangled states between two remote chains of qubits, and we show that these states exhibit resilience against unwanted losses in the dissipative channel. Using these insights, we discuss a unified theory of remote entanglement stabilization between qubits. Next, we use insights from a previously obtained CQA exact solution of a driven Kerr resonator to show that a fragile steady state blockade effect can be exploited as a short-time dynamical effect to generate single photon states. Finally, we make use of continuous measurement and feedforward techniques to show how a bosonic mode can continuously monitor the environment of a qubit and mitigate the environmental noise by applying a continuous feedforward signal.