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An important issue in developing quantum technology is that quantum statesare so sensitive to noise. We propose a protocol that introduces reversedynamics, in order to precisely control quantum systems against noise describedby the Lindblad master equation. The reverse dynamics can be obtained byconstructing the Petz recovery map in continuous time. By providing the exactform of the Hamiltonian and jump operators for the reverse dynamics, we explorethe potential of utilizing the near-optimal recovery of the Petz map incontrolling noisy quantum dynamics. While time-dependent dissipationengineering enables us to fully recover a single quantum trajectory, we alsodesign a time-independent recovery protocol to protect encoded quantuminformation against decoherence. Our protocol can efficiently suppress only thenoise part of dynamics thereby providing an effective unitary evolution of thequantum system.

Reversing Lindblad Dynamics via Continuous Petz Recovery Map