Properties of two-mode squeezed Laguerre-polynomial-excited vacuum state generated by conditional measurement

Ye, Wei; Hu, Li-Yun; Zhang, Kuizheng; Huang, Jiehui; Zhang, Zhiming

doi:10.1088/1402-4896/ab02b3

Cited by 5 publications

(4 citation statements)

References 55 publications

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“…Due to the conditional measurement leading to the presence of H m,n 10), |ψ out becomes a non-Gaussian entangled state, which provides another scheme for generating the twomode non-Gaussian state. When m = n, according to the formula H m,m (x, y) = (−1) m m!L m (xy) with L m (xy) being the Laguerre polynomials, the resulting state |ψ out reduces to Laguerre polynomial excited squeezed vacuum states in [40].…”

Section: The Generation Of a Conditioned Statementioning

confidence: 99%

Measurement-induced nonclassical state from two-mode squeezed vacuum states via beam splitter and its entanglement properties

Li¹,

Xu²,

Yuan³

et al. 2019

Laser Phys. Lett.

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A theoretical scheme of generating a new kind of two-mode non-Gaussian entangled state is presented by means of beam splitters (BSs) and conditional measurement. Here, after detecting photon numbers at the output port of each BS with two kinds of two-mode squeezed vacuum-state inputs, the output state is proved to be two-variable Hermite polynomial excited squeezed vacuum states. Its success probability of detection, namely, normalization factor, is derived in compact expression related to the Jacobi polynomials. Based on the general expression of expectation value, the statistical properties are discussed by exploring the cross-correlation function and anti-bunching effect. The entanglement properties are also investigated by using the Shchukin-Vogel criteria and Einstein-Podolsky-Rosen correlation. The results show that the entanglement of the output state can be enhanced with the increasing photon detection number under the condition of simultaneously detecting the same photon number at the two output ports, which may have good potential for applications in the field of quantum information processing.

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Section: The Generation Of a Conditioned Statementioning

confidence: 99%

Measurement-induced nonclassical state from two-mode squeezed vacuum states via beam splitter and its entanglement properties

Li¹,

Xu²,

Yuan³

et al. 2019

Laser Phys. Lett.

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show abstract

“…In recent decades, many efforts have been made on the non-Gaussian states which is very significant in quantum optics and quantum information [1,2]. It is necessary to produce different nonclassical quantum states which are expected to have non-classicality features such as the sub-poissonian distribution, antibunching effect and squeezing effect [3][4][5]. The non-classical effects have many applications in quantum communication [6], dense coding [7] and quantum cryptography [8].…”

Section: Introductionmentioning

confidence: 99%

“…Such conditional measurement has been identified as another effective method for generating highly nonclassical states [23,24]. To date, various methods have been introduced to realize the conditional measurement, such as Geiger-like photon detection, homodyne detection, and joint measurement of two-mode quadrature [25][26][27]. Quantum scissors device is an arrangement where a numberstate expansion of an optical state can be truncated nonlocally so as to leave only a state involving specific components of photon number states.…”

Section: Introductionmentioning

confidence: 99%

Quantum properties of superposition opposite coherent states using quantum scissors with conditional measurements

Ren¹,

Yu²,

Zhang³

et al. 2021

Phys. Scr.

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We analyze the quantum properties for the output state of the superposition coherent states with the opposite phase using a quantum scissor. From the perspectives of theoretical calculation and numerical analysis, we discuss the effects of the parameters of the quantum scissors device on different superposition coherent states, such as the probability of successful photon scissor, fidelity, signal gain and squeezing. An interesting finding is that when the input quantum states are even/odd coherent states, signal gain and squeezing for the output quantum state only depend on the amplitude and are independent of the parameters of the quantum scissors. In addition, the quantum properties for other superposition coherent states which are dependent of the amplitude of coherent and the transmittance of beam splitters are also discussed.

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“…For this purpose, various methods using non-Gaussian operations, such as photon subtraction (PS), photon addition (PA) and coherent superposition (CS) of both operations, on Gaussian states to manipulate or prepare novel non-Gaussian states have been proposed from theoretical and experimental viewpoints [21][22][23][24][25][26][27][28][29][30][31][32]. It is interesting that the implementations of single-PA and PS have been successfully reported experimentally [21,22,30].…”

Section: Introductionmentioning

confidence: 99%

Generation of nonclassical states by superposition of number-conserving operations on squeezed thermal state

Ye¹,

Guo²,

Zhang³

et al. 2021

Phys. Scr.

Self Cite

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The nonclassicality is the prerequisite for quantum states to be applied into quantum information, especially for quantum metrology. Here we theoretically investigate the non-classical properties of the non-Gaussian state generated by repeatedly operating a number-conserving generalized superposition of products (GSP), i.e., (s 1 aa † + t 1 a † a)m with s 1 2 + t 1 2 = 1 , on the squeezed thermal state (STS), in terms of second-order correlation function, Mandel’s Q parameter, quadrature squeezing and Wigner function (WF). It is shown that, compared to the cases of the STS, the GSP-STS with the high-order GSP operations (m > 1) at the small-squeezing levels can be beneficial to the existence of the photon-antibunching effect, the sub-Poissonian distribution and the partial negativity of the WF, apart from the quadrature squeezing. In addition, for the case of m = 1, we also compare with the non-classical properties of several different non-Gaussian resources, involving the photon-subtracted-then-added (PSTA) STS, the GSP-STS and the photon-added-then-subtracted (PATS) STS. It is found that the PSTA-STS with respect to the sub-Poissonian distribution and the partial negativity of the WF has a better performance than others. Significantly, the generated GSP-STS has an obvious advantage of showing the photon-antibunching effects, compared to the PSTA-STS and the PATS-STS, which means that our scheme may have an excellent guidance for the practical implementations in quantum information.

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Properties of two-mode squeezed Laguerre-polynomial-excited vacuum state generated by conditional measurement

Cited by 5 publications

References 55 publications

Measurement-induced nonclassical state from two-mode squeezed vacuum states via beam splitter and its entanglement properties

Measurement-induced nonclassical state from two-mode squeezed vacuum states via beam splitter and its entanglement properties

Quantum properties of superposition opposite coherent states using quantum scissors with conditional measurements

Generation of nonclassical states by superposition of number-conserving operations on squeezed thermal state

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