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

TL;DR

This paper presents a dissipative protocol for excitation transfer between two noninteracting qubits using unbalanced dissipation rates and collective dissipation, demonstrating a Markovian quantum trajectory effect akin to Maxwell's demon.

Contribution

It introduces a novel purely dissipative excitation transfer protocol leveraging collective dissipation and unbalanced rates, with implications for quantum control and measurement.

Findings

Quantum trajectories show excitation transfer via measurement backaction.

Unbalanced dissipation rates enable Maxwell's demon-like effects.

The protocol is feasible in current superconducting or Rydberg atom setups.

Abstract

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