Quantum state truncation using an optical parametric amplifier and a beamsplitter

Abstract

We present a scheme of quantum state truncation in the Fock basis (quantum scissors), based on the combined action of a nondegenerate optical parametric amplifier and a beamsplitter. Differently from previously proposed linear-optics-based quantum scissors devices, which depend on reliable Fock states sources, our scheme requires only readily available Gaussian states, such as coherent states inputs (vacuum state included). A truncated state is generated after performing photodetections in the global state. We find that, depending on which output ports each of the two photodetectors is positioned, different types of truncated states may be produced: i) states having a maximum Fock number of $N$, or ii) states having a minimum Fock number $N$. In order to illustrate our method, we discuss an example having as input states a coherent state in the beamsplitter and vacuum states in the amplifier, and show that the resulting truncated states display nonclassical properties, such as sub-Poissonian statistics and squeezing. We quantify the nonclassicality degree of the generated states using the Wigner-Yanase skew information measure. For complementarity, we discuss the efficiency of the protocol, e.g., generation probability as well as the effects of imperfections such as the detector's quantum efficiency and dark counts rate.

19 pages, 14 figures

References in corpus (13)

• Negativity of the Wigner function as an indicator of nonclassicality
• Generation of arbitrary quantum states of traveling fields
• Quantum-scissors device for optical state truncation: A proposal for practical realization
• Quantum receivers with squeezing and photon-number-resolving detectors
• Generalized quantum scissors for noiseless linear amplification
• Long-distance continuous-variable quantum key distribution with quantum scissors
• Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity
• Continuous-variable quantum repeater based on quantum scissors and mode multiplexing
• Journeys from Quantum Optics to Quantum Technology
• Filtering Number States of the Vibrational Motion of an Ion
• Classical light vs. nonclassical light: Characterizations and interesting applications
• Noiseless Linear Amplifiers for Multimode States
• Quantum state engineering via unitary transformations

Cited by in corpus (3)

• Nonclassicalities of hybrid coherent states
• Generation of nonclassical states of light via truncation of mixed states
• Enhancing nonclassical properties of quantum states of light using linear optics