High-fidelity photon-subtraction operation for large-photon-number Fock states

The statistics of photon-subtracted and photon-added states has several important applications in quantum optics and quantum information science. In this study, we propose a scheme for a photon-subtraction operation with SU(1,1) beam splitters. We demonstrate that our scheme overcomes the exponential decaying trend of fidelity and works exceptionally well for quantum states with a large number of photons. Moreover, our scheme is effective even with realistic on-off photon detectors and the heralded single-photon source. Thus, our scheme can serve as a useful tool for manipulating the number of photons in bright coherent states and strongly squeezed states in the future.