Continuous-variable quantum optical experiments in the time domain using squeezed states and heralded non-Gaussian states

Continuous-variable quantum information processing with optical field quadrature amplitudes is advantageous in deterministic creation of Gaussian entanglement. On the other hand, non-Gaussian state preparation and operation are currently limited, but heralding schemes potentially overcome this difficulty. Here, we summarize our recent progress in continuous-variable quantum optical experiments. In particular, we have recently succeeded in creation of ultra-large-scale cluster-type entanglement with full inseparability, multiplexed in the time domain; storage and on-demand release of heralded single-photon states, which is applied to synchronization of two heralded single-photon states; real-time quadrature measurements regarding non-Gaussian single-photon states with exponentially rising wavepackets; squeezing with relatively broader bandwidth by using triangle optical parametric oscillator.