  Remote state preparation enables one to prepare and manipulate quantum state
non-locally. As an essential quantum resource, optical cat state is usually
prepared locally by subtracting photons from a squeezed vacuum state. For
remote quantum information processing, it is essential to prepare and
manipulate optical cat states remotely based on Gaussian entanglement, which
remains a challenge. Here, we present experimental preparation of optical cat
states based on a remotely distributed two-mode Gaussian entangled state in a
lossy channel. By performing photon subtraction and homodyne projective
measurement at Alice's station, an optical cat state is prepared remotely at
Bob's station. Furthermore, the prepared cat state is rotated by changing
Alice's measurement basis of homodyne detection, which demonstrates the remote
manipulation of it. By distributing two modes of the two-mode Gaussian
entangled state in lossy channels, we demonstrate that the remotely prepared
cat state can tolerate much more loss in Alice's channel than that in Bob's
channel. We also show that cat states with amplitudes larger than 2 can be
prepared by increasing the squeezing level and subtracting photon numbers. Our
results make a crucial step toward remote hybrid quantum information processing
involving discrete- and continuous-variable techniques.
