Laguerre polynomial excited coherent state: generation and nonclassical properties

Multiphoton catalysis is a non-Gaussian operation which has aroused interest recently in quantum information processing. There are two schemes of multiphoton catalysis in the current literature: one uses a beam splitter, while the other uses an optical parametric amplifier. We derive the catalysis operator in the Fock basis for each scheme and find a close relationship between them. We propose to enhance quantum entanglement of the two-mode squeezed vacuum state by performing two-mode multiphoton catalysis independently using two beam splitters. We calculate the optimal entanglement, which is maximized over two independent transmissivities, for the catalyzed states with various pairs of catalysis photon numbers, and find that in each case entanglement is enhanced only when the squeezing parameter is below a certain threshold. We also find that the optimal entanglement is nonzero in the limit of low squeezing, and deduce the analytical forms of the limiting catalyzed state and its entanglement in each case from numerical coefficients.

“…Ye et al expressed the catalysis operator Ĉm (Γ) as a function of a † a using the IWOP technique [45,46]. It may be checked that our result is in agreement with theirs.…”

Section: Multiphoton Catalysis Using An Opasupporting

confidence: 87%

“…Recently, Ye et al proposed an alternative scheme of multiphoton catalysis, in which the beam splitter is replaced with an OPA [45,46]. A similar scheme was proposed in [47].…”

Section: Multiphoton Catalysis Using An Opamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Enhancing quantum entanglement of the two-mode squeezed vacuum state via multiphoton catalysis

Yang

2020

“…The negative volume of Wigner function represents the nonclassical nature of the quantum state [32][33][34]. For given arbitrary density operators ρ = |ϕ out ϕ out |, the Wigner function under the coherent state |z representation can be expressed as…”

Section: Wigner Function Of the Output Statementioning

confidence: 99%

Preparation and non-classicality of non-Gaussian quantum states based on catalytic quantum scissors

Zhang

et al. 2018

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.

“…Furthermore, photon addition or subtraction are also used to improve continuous-variable quantum key distribution [7][8][9][10]. Actually, these kinds of non-Gaussian operations are also used to improve the degree of entanglement [11][12][13][14][15][16][17] and realize many kinds of quantum tasks, such as quantum teleportation [18][19][20][21][22] and quantum metrology [23][24][25][26]. Lee et al proposed the coherent superposition operation of annihilation and creation operators of a light field to realize quantum Laser Physics Letters…”

Section: Introductionmentioning

confidence: 99%

Comparison of nonclassical properties resulting from non-Gaussian operations

Jia

Wang

et al. 2018

Based on an asymmetrical beam splitter (ABS) and conditional measurement, we have investigated the nonclassical properties of non-Gaussian states in a unified form, including photon subtraction, photon addition and quantum catalysis, by deriving analytical expressions for photon number, squeezing effect, Mandel Q parameter and Wigner function. It is found that these properties not only depend on squeezing parameter and measurement, but also on the transmissivity of the ABS. Photon addition and quantum catalysis present a higher probability in the regions of low and high transmissivity, respectively. Although both singlephoton subtraction and addition share a clear negative volume, the latter is considered to be a better choice for producing nonclassical states than the two others, if both success probability and negative volume in the small squeezing region are taken into consideration. Quantum catalysis is better in the large squeezing region and with low transmissivity. These results provide some reference for generating such non-Gaussian states.