Abstract
Quantum scissor (QS) is a powerful tool to realize the optical truncation and noiseless linear amplification (NLA) of the Fock state. The hyper-encoding technology which encodes messages in two or more degrees of freedom of a photon is a promising tool for increasing the channel capacity of photons and has been widely used in quantum computing and quantum communication fields. Here, we propose the one-photon and three-photon QSs for the frequency-encoded and polarization frequency hyper-encoded coherent states, which can realize the one-order and three-order truncation and NLA of the coherent state, and preserve the encoded features of the photons. The quantum scissors for the hyper-encoded coherent state would introduce some unwanted disturb items with small probability. Our QSs can be extended to distill the hyper-encoded multi-spatial-mode entanglement. Our QSs have application potential in the future quantum information processing field.
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