The ability to efficiently realize storage and readout of optical squeezedstates plays a key roll in continuous-variables quantum information processing.Here we study the quantum memory (QM) for squeezed state of propagating lightin atoms based on the hybrid photon echo re-phasing (HYPER). The opticalquantum state is recorded in two sublevels of the ground state of an atomicensemble to realize long-lived QM. Taking into account the noise effect due toatomic decay, our estimation indicates that, with currently availabletechnique, high fidelities larger than the classical fidelity threshold 81.5 %are obtainable. Our work provides some practical guidance for realization ofefficient and faithful photon-echo-based memory for squeezed light.
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