  Telecom-band integrated quantum memory is an elementary building block for
developing quantum networks compatible with fiber communication
infrastructures. Towards such a network with large capacity, an integrated
multimode photonic quantum memory at telecom band has yet been demonstrated.
Here we report a fiber-integrated multimode quantum storage of single photon at
telecom band on a laser-written chip. The storage device is a fiber-pigtailed
Er3+:LiNbO3 waveguide and allows a storage of up to 330 temporal modes of
heralded single photon with 4-GHz-wide bandwidth at 1532 nm and a 167-fold
increasing of coincidence detection rate with respect to single mode. Our
memory system with all-fiber addressing is performed using telecom-band
fiber-integrated and on-chip devices. The results represent an important step
for the future quantum networks using integrated photonics devices.
