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Fock states with a well-defined number of photons in an oscillator have showna wide range of applications in quantum information science. Nonetheless, theirusefulness has been marred by single and multiple photon losses due tounavoidable environment-induced dissipation. Though several dissipationengineering methods have been developed to counteract the leading single-photonloss error, averting multiple photon losses remains elusive. Here, weexperimentally demonstrate a dissipation engineering method that autonomouslystabilizes multi-photon Fock states against losses of multiple photons using acascaded selective photon-addition operation in a superconducting quantumcircuit. Through measuring the photon-number populations and Wigner tomographyof the oscillator states, we observe a prolonged preservation of quantumcoherence properties for the stabilized Fock states $\vert N\rangle$ with$N=1,2,3$ for a duration of about $10$~ms, far surpassing their intrinsiclifetimes of less than $50~\mu$s. Furthermore, the dissipation engineeringmethod demonstrated here also facilitates the implementation of a non-unitaryoperation for resetting a binomially-encoded logical qubit. These resultshighlight the potential application in error-correctable quantum informationprocessing against multi-photon-loss errors.

Autonomous stabilization of Fock states in an oscillator against multi-photon losses