Quantum scissors for noiseless linear amplification of polarization frequency hyper-encoded coherent state

¹ College of Science, Nanjing University of Posts and Telecommunications - Nanjing, 210023, China
² Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications Nanjing, 210003, China
³ College of Electronic and Optical Engineering & College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications - Nanjing, 210023, China

^(a) E-mail: zhoul@njupt.edu.cn (corresponding author)

Received: 3 August 2022
Accepted: 12 September 2022

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.