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We introduce a protocol to transfer excitations between two noninteractingqubits via purely dissipative processes (i.e., in the Lindblad master equationthere is no coherent interaction between the qubits). The fundamentalingredients are the presence of collective (i.e. nonlocal) dissipation andunbalanced local dissipation rates (the qubits dissipate at different rates).The resulting quantum trajectories show that the measurement backaction changesthe system wave function and induces a passage of the excitation from one qubitto the other. While similar phenomena have been witnessed for a non-Markovianenvironment, here the dissipative quantum state transfer is induced by anupdate of the observer knowledge of the wave function in the presence of aMarkovian (memoryless) environment -- this is a single quantum trajectoryeffect. Beyond single quantum trajectories and postselection, such an effectcan be observed by histogramming the quantum jumps along several realizationsat different times. By investigating the effect of the temperature in thepresence of unbalanced local dissipation, we demonstrate that, if appropriatelyswitched on and off, the collective dissipator can act as a Maxwell's demon.These effects are a generalized measure equivalent to the standard projectivemeasure description of quantum teleportation and Maxwell's demon. They can bewitnessed in state-of-the-art setups given the extreme experimental control in,e.g., superconducting qubits or Rydberg atoms.

physical review. a/physical review, a

Dissipative state transfer and Maxwell's demon in single quantum  trajectories: Excitation transfer between two noninteracting qubits via  unbalanced dissipation rates