  Photon echo is a fundamental tool for the manipulation of electromagnetic
fields. Unavoidable spontaneous emission noise is generated in this process due
to the strong rephasing pulse, which limits the achievable signal-to-noise
ratio and represents a fundamental obstacle towards their applications in the
quantum regime. Here we propose a noiseless photon-echo protocol based on a
four-level atomic system. We implement this protocol in a Eu3+:Y2SiO5bcrystal
to serve as an optical quantum memory. A storage fidelity of 0.952 is obtained
for time-bin qubits encoded with single-photon-level coherent pulses, which is
far beyond the maximal fidelity achievable using the classical
measure-and-prepare strategy. In this work, the demonstrated noiseless
photon-echo quantum memory features spin-wave storage, easy operation and high
storage fidelity, which should be easily extended to other physical systems.
