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Laser Physics Letters

Entanglement improvement of pair coherent state via catalytic quantum scissors

Heng-Mei Li, Wei Jie Gu, Bao-Hua Yang, Xue-xiang Xu, Hong‐Chun Yuan

Published Jan 1, 2026• 1 citation
Publisher

Abstract

Abstract A class of finite-dimensional quantum entanglement states is generated by applying a catalytic quantum scissors device (QSD) to one mode of the pair coherent state (PCS), which is just a superposition of | 0 , q ⟩ , | 1 , 1 + q ⟩ and | 2 , 2 + q ⟩ , with q being the photon number difference between the two modes of the PCS. The enhancement of entanglement is numerically examined in terms of the von Neumann entropy and linear entropy, depending on the parameters of the catalytic QSD and PCS. The results show that the entanglement of the truncated PCS is stronger than that of the PCS within a certain region of the parameters. In addition, the performance of the fidelity of the standard Braunstein–Kimble protocol is investigated to teleport a coherent state by using the truncated PCS as an entangled resource. Comparing with the PCS as an entangled resource, the teleportation fidelity for the truncated PCS is improved at a small parameter | ζ | of PCS and a large transmissivity T 2 of the beam-splitter. Our work reveals that the catalytic QSD is also an efficient method to realize entanglement enhancement in quantum optics and quantum information processing.

DOI
10.1088/1612-202x/ae2df7

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Journal of Physics Conference Series•May 1, 2018•3 citations
Abstract A class of finite-dimensional quantum entanglement states is generated by applying a catalytic quantum scissors device (QSD) to one mode of the pair coherent state (PCS), which is just a superposition of | 0 , q ⟩ , | 1 , 1 + q ⟩ and | 2 , 2 + q ⟩ , with q being the photon number difference between the two modes of the PCS. The enhancement of entanglement is numerically examined in terms of the von Neumann entropy and linear entropy, depending on the parameters of the catalytic QSD and PCS. The results show that the entanglement of the truncated PCS is stronger than that of the PCS within a certain region of the parameters. In addition, the performance of the fidelity of the standard Braunstein–Kimble protocol is investigated to teleport a coherent state by using the truncated PCS as an entangled resource. Comparing with the PCS as an entangled resource, the teleportation fidelity for the truncated PCS is improved at a small parameter | ζ | of PCS and a large transmissivity T 2 of the beam-splitter. Our work reveals that the catalytic QSD is also an efficient method to realize entanglement enhancement in quantum optics and quantum information processing.
A scheme is proposed to investigate the non-classical states generated by a quantum scissors device (QSD) operating on the the cavity mode of an optomechanical system. When the catalytic QSD acts on the cavity mode of the optomechanical system, the resulting state contains only the vacuum, single-photon and two-photon states depending upon the coupling parameter of the optomechanical system as well as the transmission coefficients of beam splitters (BSs). Especially, the output state is just a class of multicomponent cat state truncations at time t = 2π by choosing the appropriate value of coupling parameter. We discuss the success probability of such a state and the fidelity between the output state and input state via QSD. Then the linear entropy is used to investigate the entanglement between the two subsystems, finding that QSD operation can enhance their entanglement degree. Furthermore, we also derive the analytical expression of the Wigner function (WF) for the cavity mode via QSD and numerically analyze the WF distribution in phase space at time t = 2π. These results show that the high non-classicality of output state can always be achieved by modulating the coupling parameter of the optomechanical system as well as the transmittance of BSs.
Abstract Based on the conditional measurement and beam splitters, multi-photon catalysis is introduced to each mode of even entangled coherent states (EECSs). The resulted states belong to a kind of Laguerre polynomials excited EECSs. Then the entanglement properties of resulted state are examined according to EPR correlation, concurrence and the teleportation fidelity. For the symmetrical beam splitters, these three quantities can be improved by multi-photon catalysis (⩾3) and only EPR correlation can be enhanced by zero-photon catalysis. Our optimal results over transmissivities of beam splitters show that the unit concurrence can be achieved for all non-zero photon catalysis which indicates that the optimized output approaches Bell-type state. In addition, two single-photon catalysis and zero-photon catalysis present better performance for the improvement of both the EPR correlation and the teleportation fidelity in small and large amplitude regions, respectively. Particularly, it is interesting to notice that both of them can be optimized to be constant for zero-photon catalysis when the amplitude exceeds a certain threshold.
In this work, the basic idea of the quantum scissors (QS) device is slightly modified to generate finite-dimensional quantum states by means of conditional measurements on beam splitters (BSs). It turns out that a QS device with two single-photon inputs and two single-photon detections is just a projection operator composed of the vacuum state, one-photon state, and two-photon state, depending upon the transmission coefficients of BSs. As the most general example, we consider the squeezed coherent state as the input state and derive the analytical expression of the output state. Its nonclassical characteristics are analyzed in detail by means of the average photon number, intensity gain, and Wigner function. In addition, we extend this technique to the two-mode squeezed vacuum state (TMSVS). The resulting state is just the generalized Bell state, containing only the twin vacuum, twin one-photon, and twin two-photon components, whose entanglement properties are quantified by the von Neumann entropy and Einstein–Podolsky–Rosen correlation. The results show that the entanglement of the truncated TMSVS is stronger than that of TMSVS within a certain range of squeezing parameter and transmissivity.
Abstract Recently, it was reported that Quantum optical catalysis is a method capable of transforming Gaussian/non-Gaussian input states into non-Gaussian states without changing the photon number of the original state in Int. J. Theor. Phys. 62, 41 (2023). They have shown enhancement in non-Gaussianity after applying photon catalysis over a pair coherent state. Here in this work, we investigate the multi photon-catalysis phenomenon in a photon-added (in one mode) and photon-subtracted (in another mode) pair coherent state. The entanglement and non-Gaussian properties of the generated state multiphoton catalytic photon-added-and-subtracted pair coherent state (MC-PASPCS) are analyzed using linear entropy, logarithmic negativity, and a quantitative measure of non-Gaussianity. Furthermore, the usefulness of the proposed state as a quantum resource is examined through continuous-variable quantum teleportation fidelity. Our results show that the combined effect of photon addition/subtraction and multiphoton catalysis significantly enhances entanglement, non-Gaussianity, and teleportation performance in suitable parameter regimes compared with the original pair coherent state. The findings demonstrate that said states provides a controllable platform for generating highly non-Gaussian entangled states with potential applications in quantum information processing.
Abstract Based on the quantum scissor device proposed by Pegg et al , this paper implements a non-Gaussian quantum state preparation scheme. When considering the quantum photocatalysis of single-photon input and single-photon detection, the equivalent operator of catalytic quantum scissors is given in order to understand the physical nature of quantum scissors. When the coherent state is taken as the input state, for an asymmetric beam splitter, the output state can be truncated to zero photon, single photon and two photon components; for a symmetric beam splitter, the output state is only truncated to zero photon and two photon components. The non-classicality of the prepared non-Gaussian quantum states is discussed by the average photon number, signal-to-noise ratio, squeezing effcet and Wigner function. These results show that the output states can present strong non-classicality when modulating the amplitude of the coherent state and transmissivity of beam splitter.
In this paper, we present two methods to improve the average fidelity in the quantum teleportation processes to teleport a coherent state via the pair coherent states. We use the measuring of the orthogonal quadrature components in the first protocol and the photon number sum and phase difference in the second. The results show that the average fidelity in the first protocol is enhanced by performing a photon number shifting at a receiver, and F av can approach to the unit if q becomes very big. In the second protocol, the average fidelity increases with increasing the amplitude of the pair coherent states. It approaches to the unit in the limit of the big amplitude values of the pair coherent states and small of the input state. The average fidelity of both methods is greatly improved comparing with the Gabris-Agarwal protocol and it approaches to unit depending on the parameters involved.